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Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Introduction to Quantum Computer
Sarun Sumriddetchkajorn
NSTDA Research Fellow
Fellow of OSA and SPIE
National Electronics and Computer Technology Center
National Science and Technology Development Agency
Ministry of Science and Technology, Thailand
Email: sarun.sumriddetchkajorn@nectec.or.th
2
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Outlines
• Qubit vs Bit
• Brief history of quantum computer
• Trend
• What happening now…
3
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Qubit vs Bit
1
0
or
Bit can have one of two states
ON
OFF
Qubithas many more possible states at the same time
|0>
|1>



=cos(/2)|0>+exp(i)sin(/2)|1>
• Qubit seems to contain an infinite amount of information
• The information can be extracted by a measurement
• When measured, qubit collapses, resulting in |0> or |1> with
probability associated with qubit’s latitude
Superposition Entanglement
Qubit can be in
more than one state
at the same time
Qubits can affect
each other over huge
distances (i.e., a type
of correlation)
  
,
Equivalent to Parallel Computing
particle
4
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Quantum
Computing Platform
(3-Qubit System)
|000>
|001>
|010>
|011>
|100>
|101>
|110>
|111>
Probabilities
5
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
https://www.nea.com/blog/quantum-computing-time-for-venture-capitalists-to-put-chips-on-the-table
6
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
1900 Max Planck
-- Originator of Quantum Theory
-- Energy quantization
Object cannot be represented as only wave or
particle
1927 Werner Heisenberg
-- Uncertainty principle
Some properties of a quantum object cannot
be known exactly at the same time
1905 Albert Einstein
-- Photoelectric effect
1913 Neils Bohr
-- Atomic model
1924 Louis de Broglie
-- Wave-particle duality
1926 Erwin Schrödinger
-- Wave mechanics
Probabilities for the possible results measured
on the system
7
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Superposition
Quantum object can be in more
than one state at the same time
Entanglement
Quantum object can affect each
other over a long distance
1935 – Thought experiment “EPR Paradox”
Boris Podolsky Nathan RosenAlbert Einstein
Interaction of particles:
-- Both their position and their momentum can be
measured more accurately than Uncertainty
Principle allows
-- Unless measuring on one particle
instantaneously affects the other to prevent
this accuracy
-- Meaning that information is transmitted faster
than light which opposes the theory of
relativity (“Spooky action at a distance”)
1935 Erwin Schrödinger
-- Thought experiment
“Schrödinger’s Cat”
8
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
1970 Charles Bennett and Stephen Wiesner
-- First use of phrase “Quantum information theory”
-- First suggestion “using entanglement as a communication”
Richard Feynman
“Nature isn't classical, dammit, and if you
want to make a simulation of nature, you'd
better make it quantum mechanical, and by
golly it's a wonderful problem, because it
doesn't look so easy”
1980 Yuri Ivanovitch Manin
Proposed the Idea of a
Quantum Computer in 1980
with his book “Computable
and Uncomputable”
9
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
1985 David Deutsch
Described “Universal quantum computer”
1984 Charles Bennett and Gilles Brassard
-- Proposed cryptography based on quantum mechanics
10
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
1993 Charles Bennett and his team
-- Demonstrated quantum information can be
transmitted under the principle of entanglement
Key knowledge in the starting point of many
quantum algorithms and quantum error corrections
1994 Peter Shor
-- Showed the possibility of factoring a number
into its primitives on a quantum computer
-- Shor’s algorithm was shown that a quantum
computer is fundamentally more powerful than
conventional one.
1996 Lov Grover
-- Created ultra-fast Grover’s database search
algorithm for non-indexed databases
-- Can be used to crack codes
1996 David DiVicenzo
-- Created “Divicenzo” Criteria for the
implementation of a quantum computer
1.A scalable physical system with well characterized qubit
2.The ability to initialize the state of the qubits to a simple
fiducial state
3.Long relevant decoherence times
4.A "universal" set of quantum gates
5.A qubit-specific measurement capability
11
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
2004 Robert Scholkopf and Michel Devoret
-- Invented circuit quantum electrodynamic, laying the foundation for coupling and reading superconducting qubits
https://ocr.yale.edu/featured-innovator/robert-schoelkopf-and-michel-devoret
2007 Robert Scholkopf and his team
-- Invented “Transmon” superconducting circuit, reducing sensitivity to charge noise
-- IBM also adopted this concept, Google later on used this concept
2016 IBM made Quantum Computer available on Cloud
2010 D Wave Systems released commercial quantum computer (annealer)
12
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Qubit Platform Technology
• Trapped ions
• Neutral atoms
• Quantum dots
• Spins of phosphorous donors in Si (Si:P)
• Nitrogen-vacancy (NV) in Diamond
• Superconducting circuits to trap ions
IBM uses Niobium and Aluminum on Si wafer
based on Josephson Junction
https://phys.org/news/2014-11-qubits-based-ions-
scalable-platform.html
https://jila.colorado.edu/dzanderson/research-area-
description/neutral-atom-quantum-computing
Neutral atoms
Trapped ions
13
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
https://www.asianscientist.com/2017/05/in-the-
lab/single-photon-random-diamond/
http://www.fqt.unsw.edu.au/research/do
nor-spin-qubit-in-silicon
https://www.unibas.ch/en/Research/Uni-Nova/Uni-
Nova-130/Uni-Nova-130-Qubits-the-building-
blocks-of-the-quantum-computer.html
Quantum dots
Gold contact
electron
Quantum dots
Si:P
NV in diamond
14
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
>2023
15
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
>2027
16
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
2023-2033
17
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
18
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
European: Quantum Flagship
• 1b€ and 10yr initiative, launches on October 29th
• Involving the quantum community at large, 5000+ European researchers in academia and industry
• Quantum Communication: 10 projects
• Quantum Computing: 11 projects
• Quantum Simulation: 6 projects
• Quantum Metrology and Sensing: 22 projects
• Basic Science: 90 projects
Governance of Quantum Flagship
• Strategic Advisory Board (SAB): monitors the Flagship progress and recommends to the EC appropriate measures.
(Chair -- Prof. Dr. Jürgen Mlynek, former president of the Helmholtz Association of German
Research Centers and chairman of the Falling Walls Foundation)
• Science and Engineering Board (SEB): ensures a steady flow of information between the projects and foster synergies,
such as joint use of fabrication facilities, and exploitation of project results in other
projects. (Representatives from all funded projects)
• Quantum Community Network (QCN): responsible for involving the broader QT community and helps to coordinate
the interaction with national initiatives. (Representatives from the QT community of
each EU member state and associated country)
• Coordination and Support Action (CSA): acts as a support organization and to coordinate all non-scientific
collaboration and public outreach.
Five main areas: (500+ researchers, 132m€, Oct. 18- Sept. 21)
19
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Technical Milestones
• In 3 years: quantum processors with more than 50 qubits
• In 6 years: quantum processor fitted with robust qubits
• In 10 years: quantum algorithms demonstrating quantum speed-up and
outperforming classical computers
Quantum Computers
8-Qubit superconducting quantum processor
fabricated at ETH Zurich
Quantum Simulators
Atom distribution of an ultracold quantum gas
Technical Milestones
• In 3 years: experimental devices with quantum advantage on the scale of more
than 50 (processor) or 500 (lattices) individual coupled quantum systems
• In 6 years: quantum advantage in solving important problems in science (e.g.,
quantum magnetism) and demonstration of quantum optimisation (e.g., quantum
annealing)
• In 10 years: prototype quantum simulators solving problems beyond
supercomputer capability (e.g., quantum chemistry, the design of new materials,
and optimisation problems related to AI)
20
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Technical Milestones
• In 3 years: development and certification of QRNG and QKD devices and systems
(high-speed, high-TRL, low deployment costs, new protocols, network operation),
development of systems and protocols for quantum repeaters, quantum
memories and long distance communication
• In 6 years: cost-effective and scalable devices and systems for inter-city and intra-
city networks
• In 10 years: development of autonomous metro-area, long distance (> 1000km)
and entanglement-based networks “quantum Internet”
Univ. Geneva’s prototype QKD system capable of
autonomous operation and key distribution over
more than 300km
Quantum Communication
Quantum Sensors/Metrology
A spin based quantum sensor for unravelling
structure of single biomolecules.
Technical Milestones
• In 3 years: quantum sensors, imaging systems and quantum standards
demonstrated in laboratory environment;
• In 6 years: integrated quantum sensors, imaging systems and metrology
standards at the prototype level, with first commercial products brought to the
market, as well as laboratory demonstrations of entanglement enhanced
technologies in sensing
• In 10 years: transition from prototypes to commercially devices.
21
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
• Established in 2018 in Paris, a Venture Fund dedicated to Deep Physics startups
• Focuses on the emerging and disruptive field of Quantum Technologies
$3.3 M
22
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
QKD and RNG Devices based
on Integrated Photonics
optics.org
• Spin-out from the UK’s University of Bristol (Quantum Engineering Technology Laboratories)
• Founded in 2016 by Chris Erven and raised £1 million from venture backers, and
• Supported by £1 million from Innovate UK and the UK’s National Quantum Technologies Programme
• Partners with Airbus and “AQuaSec” (Agile Quantum Safe Communication) project that recently
received backing via the UK’s Industrial Strategy Challenge Fund
• Aimed to deliver a miniature QKD prototype within two years
23
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
• Spinoff company from Spanish photonics research center
ICFO with photonic integration technology
• Plan to develop the fastest and smallest quantum entropy
source for secure random number generation
24
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
• President Xi Jinping emphasized the strategic importance of quantum technology in 2018
• Set national research programs related to quantum technology
• Estimated national funding in the range of billions of dollars
China
• Launched the world’s first quantum satellite [Quantum
Experiments at Space Scale (QUESS)] as a test platform for
quantum communications links between space and Earth
2016
2017 • Demonstrated several steps in using the satellite to test quantum encryption and
setting a distance record for entanglement between qubits
Quantum satellite at the Chinese Academy of Sciences'
Shanghai Engineering Center for Microsatellites
• Completed a 2,000-kilometer fiber optic
backbone between Beijing and Shanghai
for a ground-based quantum network
• Reported a new record in developing
quantum radar with improved accuracy in
detecting targets up to 100 kilometers
away
25
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Atomic fabrication facility
Nanofabrication facility
Magnet Lab
Materials & device fabrication facilities
Ion beam facilities
Advanced measurement facilities
Solid-state spectroscopy facilities
Quantum measurement lab
Quantum communication lab(host ANU
quantum random number generator sever)
Ultra precision lathe lab
Quantum technology lab
Laser lab
Quantum optics & information lab
http://www.cqc2t.org/
Funded in 2000 by ARC, it is an international collaboration between seven
Australian universities and more than 25 partners to form one of the largest
combined efforts in quantum computation and communication research
Australia
Si-based Quantum Computing based on UNSW technology
Quantum Communication based on ANU technology
Microsoft quantum computing research
Quantum science research group
Spin off
26
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
27
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Milestone: 10-qubit Si integrated quantum computing in 2020
28
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
National Quantum Initiative (NQI) Act
• Establish the goals and priorities for a 10-year plan to accelerate the development of quantum information
science and technology applications
• “Quantum information science (QIS)” is defined as the storage, transmission, manipulation, or
measurement of information that is encoded in systems that can only be described by the laws of quantum
physics
• 13 Dec 2018: US Senates passed the bill
• 21 Dec 2018: Presented to and signed by the President of United States
 NIST shall carry out specified quantum science activities and convene a
workshop to discuss the development of a quantum information science
and technology industry
 The National Science Foundation shall:
o carry out a basic research and education program on quantum
information science and engineering, and
o award grants for the establishment of Multidisciplinary Centers for
Quantum Research and Education
 The Department of Energy (DOE) shall carry out a basic research program
on quantum information science
 The Office of Science of DOE shall establish and operate National
Quantum Information Science Research Centers to conduct basic
research to accelerate scientific breakthroughs in quantum information
science and technology Ref: aip.org
Effort through: National Photonics Initiative (NPI)
USA
29
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
NQI “Action Plan” -- Goals --
• Development of a world-leading industrial quantum technology workforce, advancing quantum research and
technology, and developing quantum software and intellectual property.
Governance of National Quantum Initiative
• National Science and Technology Council: Representatives from
NIST, NSF, DOE, NASA, the Department of Defense, Office of the Director
of National Intelligence, White House Office of Management and
Budget, and White House Office of Science and Technology Policy
• National Quantum Initiative Advisory Committee:
Representatives from industry, universities, and federal laboratories who
will be selected based on recommendations from “Congress, industry,
the scientific community (including the National Academy of Sciences,
scientific professional societies, and universities), the defense
community, and other appropriate organizations”
• National Quantum Coordination Office
 Coordinates QIS R&D programs and budgets
across federal agencies
 Assesses R&D infrastructure requirements
and the state of the QIS workforce
 Establish goals and priorities.
 Provides external input on the progress and
management of the initiative and on trends
in QIS-related science and technology more
broadly.
 Serves as a point of contact for NQI
 Promotes funding opportunities
 Conducts public outreach
30
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
• 2004 Idea conceived
• 2005 First publication
• 2008 Research began at Samsung (Korea) and stop due to economic issue
• 2011 Research began again at Dartmouth supported by Rambus Inc. (USA)
• Single-photon avalanche detectors (SPADs)
• Photon counting devices
• Low light imaging devices
• Cryptography
Quanta Image Sensor (QIS): Single photon sensitivity at room temp, sub-diffraction limit pixel
Dartmouth’s QIS chip fabricated by TSMC
https://www.laserfocusworld.com/articles/print/volume-54/issue-
12/features/advances-in-detectors-the-quanta-image-sensor-qis-
making-every-photon-count.html
Possible Applications:
31
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Superconducting circuit
Josephson Junction
for microwave signal
founded in 2014 by Delft
University of Technology
32
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
https://cen.acs.org/articles/95/i37/Quantum-computing-goes-beyond-hydrogen-and-helium.html
33
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
34
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
https://quantumexperience.ng.bluemix.net/qx/community/question?questionId=5ae975
690f020500399ed3bb&channel=videos
Shape and frequency of
microwave signals
https://quantumexperience.ng.bluemix.net/qx/community/question?questionId=5ae97569
0f020500399ed3a1&channel=videos
35
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Physics Today, March 2019
36
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
IBM Q System One
37
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
50-Qubit in the
development
38
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
39
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
40
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Feb. 21, 2019
41
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
from qiskit import QuantumRegister, ClassicalRegister
from qiskit import QuantumCircuit, Aer, execute
q = QuantumRegister(2)
c = ClassicalRegister(2)
qc = QuantumCircuit(q, c)
qc.h(q[0])
qc.cx(q[0], q[1])
qc.measure(q, c)
backend = Aer.get_backend('qasm_simulator')
job_sim = execute(qc, backend)
sim_result = job_sim.result()
print(sim_result.get_counts(qc))
• Provides tool for composing quantum
programs at the level of circuits and
pulses
• Provide high performance simulator framework
• Contains optimized C++ simulator backends
from qiskit import QuantumRegister, ClassicalRegister
from qiskit import QuantumCircuit, execute, Aer, IBMQ
from qiskit.providers.aer import noise
# Choose a real device to simulate
IBMQ.load_accounts()
device = IBMQ.get_backend('ibmq_16_melbourne')
properties = device.properties()
coupling_map = device.configuration().coupling_map
# Generate an Aer noise model for device
noise_model = noise.device.basic_device_noise_model(properties)
basis_gates = noise_model.basis_gates
# Generate a quantum circuit
q = QuantumRegister(2)
c = ClassicalRegister(2)
qc = QuantumCircuit(q, c)
qc.h(q[0])
qc.cx(q[0], q[1])
qc.measure(q, c)
# Perform noisy simulation
backend = Aer.get_backend('qasm_simulator')
job_sim = execute(qc, backend,
coupling_map=coupling_map,
noise_model=noise_model,
basis_gates=basis_gates)
sim_result = job_sim.result()
print(sim_result.get_counts(qc))
• Contains a library of cross-domain
quantum algorithms upon which
applications for near-term quantum
computing can be built.
• Currently allows the user to experiment
on chemistry, AI, optimization and
finance applications for near-term
quantum computers.
from qiskit import Aer
from qiskit_aqua.components.oracles import SAT
from qiskit_aqua.algorithms import Grover
sat_cnf = """
c Example DIMACS 3-sat
p cnf 3 5
-1 -2 -3 0
1 -2 3 0
1 2 -3 0
1 -2 -3 0
-1 2 3 0
"""
backend = Aer.get_backend('qasm_simulator')
oracle = SAT(sat_cnf)
algorithm = Grover(oracle)
result = algorithm.run(backend)
print(result["result"])
https://qiskit.org/
42
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Being used by Lockheed Martin, Google, NASA,
USC, USRA, Los Alamos National Laboratory,
Oak Ridge National Laboratory, and Volkswagen
43
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
D-Wave Technology
• Based on quantum annealing
• 2010 Released the first commercial system 128-qubit “D-Wave One™”
• 2013 Released 512-qubit D-Wave Two™ system
• 2015 Released 1000+ qubit D-Wave 2X™ system
• 2017 Released 2000-qubit D-Wave 2000Q™ system
A study published in Science in June 2014, found that the D-
Wave chip "produced no quantum speedup" and did not rule
out the possibility in future tests.
44
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
45
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Access: D-Wave 2000Q quantum computer
Software: Ocean SDK
Hands-on coding
Learning resources
Community support
Real-Time QPU Access
• Free: get a minute of QPU access time, enough to run between 400 and 4000 problems
• Earn additional time by providing your GitHub credentials
• Solutions are returned in seconds
• Upgrade for additional blocks of time starting at $2000/hr (discounts for longer
engagements, and for users from university and government sectors)
46
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
https://ai.googleblog.com/2018/03/a-preview-of-bristlecone-googles-new.html
http://meetings.aps.org/Meeting/MAR18/Session/A33.1
https://spectrum.ieee.org/tech-talk/semiconductors/design/google-team-builds-
circuit-to-solve-one-of-quantum-computings-biggest-problems
• Codename “Bristlecone”
• 72 qubits
• 2D array of coupled “Transmon” qubits developed from
previous 9-qubit 1D array
• 168 coaxial cables connecting between the chamber of
quantum processor and the control unit
• In the process of developing CMOS based pulse
modulator and readout units working at 4K, hoping to
reduce number of coaxial cables and system dimensions
9-qubit linear array
-- readout error: 1%, gate error: 0.1%
qubit
47
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Q# with Visual Studio extension
48
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Photonic Chips
• Generate photons
• Control photons
• Measure photons
49
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Quantum
programming in
Python
• Founded in 2013 by Chad Rigetti
• Raised over $119 million from investors
(Andreessen Horowitz and Vy Capital)
• Hold over 50 U.S. Patent Applications
50
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
51
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
• Founded in 2016 by Chris Monroe and
Jungsang Kim
• Licensed core tech from University of
Maryland and Duke University
• Raised $2 million in seed funding from
New Enterprise Associates
• 2017 Raised an additional $20 million
from GV, Amazon Web Services, and NEA
52
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Scientific founders:
Michel Devoret, Luigi Frunzio, and Robert Schoelkopf
Yale University
53
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
https://www.nytimes.com/2017/11/13/technology/quantum-computing-research.html
54
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Will it practically work?
exploits instantaneously many
possible quantum states
Number of qubits
Error rates
Goal
Concerns
55
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Chance of gate errors
• Classical Computer: 10-22 %
• Quantum Computer: 0.1%
56
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
NISQ: Noisy Intermediate-Scale Quantum
FT: Fault Tolerance
Vol. 107, No. 1, January 2019 | PROCEEDINGS OF THE IEEE
1,000-100,000
Logical Qubits for a
Practical Quantum
Computer
57
Introduction to Quantum Computer
Sarun Sumriddetchkajorn, created 20181227, updated 20190316
Many more works related to hardware,
software, and algorithms plus funding
supports are still needed to make a
“Useful Quantum Computer”

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Introduction to Quantum Computer

  • 1. 1 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Introduction to Quantum Computer Sarun Sumriddetchkajorn NSTDA Research Fellow Fellow of OSA and SPIE National Electronics and Computer Technology Center National Science and Technology Development Agency Ministry of Science and Technology, Thailand Email: sarun.sumriddetchkajorn@nectec.or.th
  • 2. 2 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Outlines • Qubit vs Bit • Brief history of quantum computer • Trend • What happening now…
  • 3. 3 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Qubit vs Bit 1 0 or Bit can have one of two states ON OFF Qubithas many more possible states at the same time |0> |1>    =cos(/2)|0>+exp(i)sin(/2)|1> • Qubit seems to contain an infinite amount of information • The information can be extracted by a measurement • When measured, qubit collapses, resulting in |0> or |1> with probability associated with qubit’s latitude Superposition Entanglement Qubit can be in more than one state at the same time Qubits can affect each other over huge distances (i.e., a type of correlation)    , Equivalent to Parallel Computing particle
  • 4. 4 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Quantum Computing Platform (3-Qubit System) |000> |001> |010> |011> |100> |101> |110> |111> Probabilities
  • 5. 5 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 https://www.nea.com/blog/quantum-computing-time-for-venture-capitalists-to-put-chips-on-the-table
  • 6. 6 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 1900 Max Planck -- Originator of Quantum Theory -- Energy quantization Object cannot be represented as only wave or particle 1927 Werner Heisenberg -- Uncertainty principle Some properties of a quantum object cannot be known exactly at the same time 1905 Albert Einstein -- Photoelectric effect 1913 Neils Bohr -- Atomic model 1924 Louis de Broglie -- Wave-particle duality 1926 Erwin Schrödinger -- Wave mechanics Probabilities for the possible results measured on the system
  • 7. 7 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Superposition Quantum object can be in more than one state at the same time Entanglement Quantum object can affect each other over a long distance 1935 – Thought experiment “EPR Paradox” Boris Podolsky Nathan RosenAlbert Einstein Interaction of particles: -- Both their position and their momentum can be measured more accurately than Uncertainty Principle allows -- Unless measuring on one particle instantaneously affects the other to prevent this accuracy -- Meaning that information is transmitted faster than light which opposes the theory of relativity (“Spooky action at a distance”) 1935 Erwin Schrödinger -- Thought experiment “Schrödinger’s Cat”
  • 8. 8 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 1970 Charles Bennett and Stephen Wiesner -- First use of phrase “Quantum information theory” -- First suggestion “using entanglement as a communication” Richard Feynman “Nature isn't classical, dammit, and if you want to make a simulation of nature, you'd better make it quantum mechanical, and by golly it's a wonderful problem, because it doesn't look so easy” 1980 Yuri Ivanovitch Manin Proposed the Idea of a Quantum Computer in 1980 with his book “Computable and Uncomputable”
  • 9. 9 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 1985 David Deutsch Described “Universal quantum computer” 1984 Charles Bennett and Gilles Brassard -- Proposed cryptography based on quantum mechanics
  • 10. 10 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 1993 Charles Bennett and his team -- Demonstrated quantum information can be transmitted under the principle of entanglement Key knowledge in the starting point of many quantum algorithms and quantum error corrections 1994 Peter Shor -- Showed the possibility of factoring a number into its primitives on a quantum computer -- Shor’s algorithm was shown that a quantum computer is fundamentally more powerful than conventional one. 1996 Lov Grover -- Created ultra-fast Grover’s database search algorithm for non-indexed databases -- Can be used to crack codes 1996 David DiVicenzo -- Created “Divicenzo” Criteria for the implementation of a quantum computer 1.A scalable physical system with well characterized qubit 2.The ability to initialize the state of the qubits to a simple fiducial state 3.Long relevant decoherence times 4.A "universal" set of quantum gates 5.A qubit-specific measurement capability
  • 11. 11 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 2004 Robert Scholkopf and Michel Devoret -- Invented circuit quantum electrodynamic, laying the foundation for coupling and reading superconducting qubits https://ocr.yale.edu/featured-innovator/robert-schoelkopf-and-michel-devoret 2007 Robert Scholkopf and his team -- Invented “Transmon” superconducting circuit, reducing sensitivity to charge noise -- IBM also adopted this concept, Google later on used this concept 2016 IBM made Quantum Computer available on Cloud 2010 D Wave Systems released commercial quantum computer (annealer)
  • 12. 12 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Qubit Platform Technology • Trapped ions • Neutral atoms • Quantum dots • Spins of phosphorous donors in Si (Si:P) • Nitrogen-vacancy (NV) in Diamond • Superconducting circuits to trap ions IBM uses Niobium and Aluminum on Si wafer based on Josephson Junction https://phys.org/news/2014-11-qubits-based-ions- scalable-platform.html https://jila.colorado.edu/dzanderson/research-area- description/neutral-atom-quantum-computing Neutral atoms Trapped ions
  • 13. 13 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 https://www.asianscientist.com/2017/05/in-the- lab/single-photon-random-diamond/ http://www.fqt.unsw.edu.au/research/do nor-spin-qubit-in-silicon https://www.unibas.ch/en/Research/Uni-Nova/Uni- Nova-130/Uni-Nova-130-Qubits-the-building- blocks-of-the-quantum-computer.html Quantum dots Gold contact electron Quantum dots Si:P NV in diamond
  • 14. 14 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 >2023
  • 15. 15 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 >2027
  • 16. 16 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 2023-2033
  • 17. 17 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316
  • 18. 18 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 European: Quantum Flagship • 1b€ and 10yr initiative, launches on October 29th • Involving the quantum community at large, 5000+ European researchers in academia and industry • Quantum Communication: 10 projects • Quantum Computing: 11 projects • Quantum Simulation: 6 projects • Quantum Metrology and Sensing: 22 projects • Basic Science: 90 projects Governance of Quantum Flagship • Strategic Advisory Board (SAB): monitors the Flagship progress and recommends to the EC appropriate measures. (Chair -- Prof. Dr. Jürgen Mlynek, former president of the Helmholtz Association of German Research Centers and chairman of the Falling Walls Foundation) • Science and Engineering Board (SEB): ensures a steady flow of information between the projects and foster synergies, such as joint use of fabrication facilities, and exploitation of project results in other projects. (Representatives from all funded projects) • Quantum Community Network (QCN): responsible for involving the broader QT community and helps to coordinate the interaction with national initiatives. (Representatives from the QT community of each EU member state and associated country) • Coordination and Support Action (CSA): acts as a support organization and to coordinate all non-scientific collaboration and public outreach. Five main areas: (500+ researchers, 132m€, Oct. 18- Sept. 21)
  • 19. 19 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Technical Milestones • In 3 years: quantum processors with more than 50 qubits • In 6 years: quantum processor fitted with robust qubits • In 10 years: quantum algorithms demonstrating quantum speed-up and outperforming classical computers Quantum Computers 8-Qubit superconducting quantum processor fabricated at ETH Zurich Quantum Simulators Atom distribution of an ultracold quantum gas Technical Milestones • In 3 years: experimental devices with quantum advantage on the scale of more than 50 (processor) or 500 (lattices) individual coupled quantum systems • In 6 years: quantum advantage in solving important problems in science (e.g., quantum magnetism) and demonstration of quantum optimisation (e.g., quantum annealing) • In 10 years: prototype quantum simulators solving problems beyond supercomputer capability (e.g., quantum chemistry, the design of new materials, and optimisation problems related to AI)
  • 20. 20 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Technical Milestones • In 3 years: development and certification of QRNG and QKD devices and systems (high-speed, high-TRL, low deployment costs, new protocols, network operation), development of systems and protocols for quantum repeaters, quantum memories and long distance communication • In 6 years: cost-effective and scalable devices and systems for inter-city and intra- city networks • In 10 years: development of autonomous metro-area, long distance (> 1000km) and entanglement-based networks “quantum Internet” Univ. Geneva’s prototype QKD system capable of autonomous operation and key distribution over more than 300km Quantum Communication Quantum Sensors/Metrology A spin based quantum sensor for unravelling structure of single biomolecules. Technical Milestones • In 3 years: quantum sensors, imaging systems and quantum standards demonstrated in laboratory environment; • In 6 years: integrated quantum sensors, imaging systems and metrology standards at the prototype level, with first commercial products brought to the market, as well as laboratory demonstrations of entanglement enhanced technologies in sensing • In 10 years: transition from prototypes to commercially devices.
  • 21. 21 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 • Established in 2018 in Paris, a Venture Fund dedicated to Deep Physics startups • Focuses on the emerging and disruptive field of Quantum Technologies $3.3 M
  • 22. 22 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 QKD and RNG Devices based on Integrated Photonics optics.org • Spin-out from the UK’s University of Bristol (Quantum Engineering Technology Laboratories) • Founded in 2016 by Chris Erven and raised £1 million from venture backers, and • Supported by £1 million from Innovate UK and the UK’s National Quantum Technologies Programme • Partners with Airbus and “AQuaSec” (Agile Quantum Safe Communication) project that recently received backing via the UK’s Industrial Strategy Challenge Fund • Aimed to deliver a miniature QKD prototype within two years
  • 23. 23 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 • Spinoff company from Spanish photonics research center ICFO with photonic integration technology • Plan to develop the fastest and smallest quantum entropy source for secure random number generation
  • 24. 24 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 • President Xi Jinping emphasized the strategic importance of quantum technology in 2018 • Set national research programs related to quantum technology • Estimated national funding in the range of billions of dollars China • Launched the world’s first quantum satellite [Quantum Experiments at Space Scale (QUESS)] as a test platform for quantum communications links between space and Earth 2016 2017 • Demonstrated several steps in using the satellite to test quantum encryption and setting a distance record for entanglement between qubits Quantum satellite at the Chinese Academy of Sciences' Shanghai Engineering Center for Microsatellites • Completed a 2,000-kilometer fiber optic backbone between Beijing and Shanghai for a ground-based quantum network • Reported a new record in developing quantum radar with improved accuracy in detecting targets up to 100 kilometers away
  • 25. 25 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Atomic fabrication facility Nanofabrication facility Magnet Lab Materials & device fabrication facilities Ion beam facilities Advanced measurement facilities Solid-state spectroscopy facilities Quantum measurement lab Quantum communication lab(host ANU quantum random number generator sever) Ultra precision lathe lab Quantum technology lab Laser lab Quantum optics & information lab http://www.cqc2t.org/ Funded in 2000 by ARC, it is an international collaboration between seven Australian universities and more than 25 partners to form one of the largest combined efforts in quantum computation and communication research Australia Si-based Quantum Computing based on UNSW technology Quantum Communication based on ANU technology Microsoft quantum computing research Quantum science research group Spin off
  • 26. 26 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316
  • 27. 27 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Milestone: 10-qubit Si integrated quantum computing in 2020
  • 28. 28 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 National Quantum Initiative (NQI) Act • Establish the goals and priorities for a 10-year plan to accelerate the development of quantum information science and technology applications • “Quantum information science (QIS)” is defined as the storage, transmission, manipulation, or measurement of information that is encoded in systems that can only be described by the laws of quantum physics • 13 Dec 2018: US Senates passed the bill • 21 Dec 2018: Presented to and signed by the President of United States  NIST shall carry out specified quantum science activities and convene a workshop to discuss the development of a quantum information science and technology industry  The National Science Foundation shall: o carry out a basic research and education program on quantum information science and engineering, and o award grants for the establishment of Multidisciplinary Centers for Quantum Research and Education  The Department of Energy (DOE) shall carry out a basic research program on quantum information science  The Office of Science of DOE shall establish and operate National Quantum Information Science Research Centers to conduct basic research to accelerate scientific breakthroughs in quantum information science and technology Ref: aip.org Effort through: National Photonics Initiative (NPI) USA
  • 29. 29 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 NQI “Action Plan” -- Goals -- • Development of a world-leading industrial quantum technology workforce, advancing quantum research and technology, and developing quantum software and intellectual property. Governance of National Quantum Initiative • National Science and Technology Council: Representatives from NIST, NSF, DOE, NASA, the Department of Defense, Office of the Director of National Intelligence, White House Office of Management and Budget, and White House Office of Science and Technology Policy • National Quantum Initiative Advisory Committee: Representatives from industry, universities, and federal laboratories who will be selected based on recommendations from “Congress, industry, the scientific community (including the National Academy of Sciences, scientific professional societies, and universities), the defense community, and other appropriate organizations” • National Quantum Coordination Office  Coordinates QIS R&D programs and budgets across federal agencies  Assesses R&D infrastructure requirements and the state of the QIS workforce  Establish goals and priorities.  Provides external input on the progress and management of the initiative and on trends in QIS-related science and technology more broadly.  Serves as a point of contact for NQI  Promotes funding opportunities  Conducts public outreach
  • 30. 30 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 • 2004 Idea conceived • 2005 First publication • 2008 Research began at Samsung (Korea) and stop due to economic issue • 2011 Research began again at Dartmouth supported by Rambus Inc. (USA) • Single-photon avalanche detectors (SPADs) • Photon counting devices • Low light imaging devices • Cryptography Quanta Image Sensor (QIS): Single photon sensitivity at room temp, sub-diffraction limit pixel Dartmouth’s QIS chip fabricated by TSMC https://www.laserfocusworld.com/articles/print/volume-54/issue- 12/features/advances-in-detectors-the-quanta-image-sensor-qis- making-every-photon-count.html Possible Applications:
  • 31. 31 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Superconducting circuit Josephson Junction for microwave signal founded in 2014 by Delft University of Technology
  • 32. 32 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 https://cen.acs.org/articles/95/i37/Quantum-computing-goes-beyond-hydrogen-and-helium.html
  • 33. 33 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316
  • 34. 34 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 https://quantumexperience.ng.bluemix.net/qx/community/question?questionId=5ae975 690f020500399ed3bb&channel=videos Shape and frequency of microwave signals https://quantumexperience.ng.bluemix.net/qx/community/question?questionId=5ae97569 0f020500399ed3a1&channel=videos
  • 35. 35 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Physics Today, March 2019
  • 36. 36 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 IBM Q System One
  • 37. 37 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 50-Qubit in the development
  • 38. 38 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316
  • 39. 39 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316
  • 40. 40 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Feb. 21, 2019
  • 41. 41 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 from qiskit import QuantumRegister, ClassicalRegister from qiskit import QuantumCircuit, Aer, execute q = QuantumRegister(2) c = ClassicalRegister(2) qc = QuantumCircuit(q, c) qc.h(q[0]) qc.cx(q[0], q[1]) qc.measure(q, c) backend = Aer.get_backend('qasm_simulator') job_sim = execute(qc, backend) sim_result = job_sim.result() print(sim_result.get_counts(qc)) • Provides tool for composing quantum programs at the level of circuits and pulses • Provide high performance simulator framework • Contains optimized C++ simulator backends from qiskit import QuantumRegister, ClassicalRegister from qiskit import QuantumCircuit, execute, Aer, IBMQ from qiskit.providers.aer import noise # Choose a real device to simulate IBMQ.load_accounts() device = IBMQ.get_backend('ibmq_16_melbourne') properties = device.properties() coupling_map = device.configuration().coupling_map # Generate an Aer noise model for device noise_model = noise.device.basic_device_noise_model(properties) basis_gates = noise_model.basis_gates # Generate a quantum circuit q = QuantumRegister(2) c = ClassicalRegister(2) qc = QuantumCircuit(q, c) qc.h(q[0]) qc.cx(q[0], q[1]) qc.measure(q, c) # Perform noisy simulation backend = Aer.get_backend('qasm_simulator') job_sim = execute(qc, backend, coupling_map=coupling_map, noise_model=noise_model, basis_gates=basis_gates) sim_result = job_sim.result() print(sim_result.get_counts(qc)) • Contains a library of cross-domain quantum algorithms upon which applications for near-term quantum computing can be built. • Currently allows the user to experiment on chemistry, AI, optimization and finance applications for near-term quantum computers. from qiskit import Aer from qiskit_aqua.components.oracles import SAT from qiskit_aqua.algorithms import Grover sat_cnf = """ c Example DIMACS 3-sat p cnf 3 5 -1 -2 -3 0 1 -2 3 0 1 2 -3 0 1 -2 -3 0 -1 2 3 0 """ backend = Aer.get_backend('qasm_simulator') oracle = SAT(sat_cnf) algorithm = Grover(oracle) result = algorithm.run(backend) print(result["result"]) https://qiskit.org/
  • 42. 42 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Being used by Lockheed Martin, Google, NASA, USC, USRA, Los Alamos National Laboratory, Oak Ridge National Laboratory, and Volkswagen
  • 43. 43 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 D-Wave Technology • Based on quantum annealing • 2010 Released the first commercial system 128-qubit “D-Wave One™” • 2013 Released 512-qubit D-Wave Two™ system • 2015 Released 1000+ qubit D-Wave 2X™ system • 2017 Released 2000-qubit D-Wave 2000Q™ system A study published in Science in June 2014, found that the D- Wave chip "produced no quantum speedup" and did not rule out the possibility in future tests.
  • 44. 44 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316
  • 45. 45 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Access: D-Wave 2000Q quantum computer Software: Ocean SDK Hands-on coding Learning resources Community support Real-Time QPU Access • Free: get a minute of QPU access time, enough to run between 400 and 4000 problems • Earn additional time by providing your GitHub credentials • Solutions are returned in seconds • Upgrade for additional blocks of time starting at $2000/hr (discounts for longer engagements, and for users from university and government sectors)
  • 46. 46 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 https://ai.googleblog.com/2018/03/a-preview-of-bristlecone-googles-new.html http://meetings.aps.org/Meeting/MAR18/Session/A33.1 https://spectrum.ieee.org/tech-talk/semiconductors/design/google-team-builds- circuit-to-solve-one-of-quantum-computings-biggest-problems • Codename “Bristlecone” • 72 qubits • 2D array of coupled “Transmon” qubits developed from previous 9-qubit 1D array • 168 coaxial cables connecting between the chamber of quantum processor and the control unit • In the process of developing CMOS based pulse modulator and readout units working at 4K, hoping to reduce number of coaxial cables and system dimensions 9-qubit linear array -- readout error: 1%, gate error: 0.1% qubit
  • 47. 47 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Q# with Visual Studio extension
  • 48. 48 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Photonic Chips • Generate photons • Control photons • Measure photons
  • 49. 49 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Quantum programming in Python • Founded in 2013 by Chad Rigetti • Raised over $119 million from investors (Andreessen Horowitz and Vy Capital) • Hold over 50 U.S. Patent Applications
  • 50. 50 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316
  • 51. 51 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 • Founded in 2016 by Chris Monroe and Jungsang Kim • Licensed core tech from University of Maryland and Duke University • Raised $2 million in seed funding from New Enterprise Associates • 2017 Raised an additional $20 million from GV, Amazon Web Services, and NEA
  • 52. 52 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Scientific founders: Michel Devoret, Luigi Frunzio, and Robert Schoelkopf Yale University
  • 53. 53 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 https://www.nytimes.com/2017/11/13/technology/quantum-computing-research.html
  • 54. 54 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Will it practically work? exploits instantaneously many possible quantum states Number of qubits Error rates Goal Concerns
  • 55. 55 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Chance of gate errors • Classical Computer: 10-22 % • Quantum Computer: 0.1%
  • 56. 56 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 NISQ: Noisy Intermediate-Scale Quantum FT: Fault Tolerance Vol. 107, No. 1, January 2019 | PROCEEDINGS OF THE IEEE 1,000-100,000 Logical Qubits for a Practical Quantum Computer
  • 57. 57 Introduction to Quantum Computer Sarun Sumriddetchkajorn, created 20181227, updated 20190316 Many more works related to hardware, software, and algorithms plus funding supports are still needed to make a “Useful Quantum Computer”