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Quantum Computing
Touching the Basics!
Saomya Chaudhury
12/19/2022 1
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12/19/2022 2
“To unlock the secrets of the UNIVERSE
one must think in terms of
Energy, Frequency &
Vibration”
Nikola Tesla
12/19/2022 3
The world from Newton’s glasses
(Classical Mechanics)
• Proposed by Sir Issac Newton in 1687 in his
legendary book ‘Naturalis Principia
Mathematica’.
• Applicable to ‘Macro’ scopic objects
(humans, spaceships, planets, stars).
• Highly accurate results for large–scale
objects.
• Speeds involving way less than the speed
of light!
• NOT applicable for extremely small
particles (electrons). Why?
12/19/2022 4
The SCALE of physical objects
How much do we know?
12/19/2022 5
Quantum Timeline
• End of 19th Century
General consensus that all important laws of physics are
discovered; remaining work is essentially “housekeeping”
• 1920's: Birth of Quantum Mechanics
Werner Heisenberg, Max Born, Albert Einstein, Erwin Schrödinger,
Niels Bohr...
• 1927
Fifth Solvay International Conference on Electrons and Photons
• 1940’s
Birth of computer science (Alan Turing, Alonzo Church)
• 1982
Richard Feynman points out the intrinsic difficulties in making
predictions on quantum systems (‘simulating quantum systems”);
he suggests that building computers based on quantum mechanics
could solve this problem.
• 1996
Discovery of a wide class of quantum error-correcting
codes (CSS codes) by Robert Calderbank and Peter Shor,
and Andrew Steane.
• 2001
First quantum factoring (15=3x5)
• 2011
D-Wave announces a quantum annealing device, called D-
Wave One. This is the first commercially available quantum
computing device (but not a universal quantum computer)
• 2019
Google announces Quantum Supremacy.
12/19/2022
6
12/19/2022 7
ATOMS and their REPRESENTATION…
12/19/2022 8
Isn’t it a representation like this?
12/19/2022 9
But wait – Is it complete?
Well ‘NO’
• Why? Elementary particles
have ‘Dual Nature’ (thanks to
De – Broglie):
• Particle
• Wave
• Important characteristics that
must be explained:
• Position
• Velocity
• Energy
• Probability
Enter the strange world of
‘Quantum Mechanics’
12/19/2022 10
So how do atoms
‘REALLY’ look like?
12/19/2022 11
Classical vs Quantum – A war far from over!
PARAMETER CLASSICAL COMPUTING QUANTUM COMPUTING
Information storage Classical Bits/ Bits Qubits
Possible States 0 OR 1 Infinite (All possible states)
|0⟩, |1⟩, ∣ψ⟩=α∣0⟩+β∣1⟩
Order of data processing Sequential Parallel
Calculations Deterministic
(you know your output)
Probabilistic
(output is based on probabilities)
Operational Capability Room Temperature Ultracold temperatures --- Why??
Error rates Low High
Randomness Falsely Random Truly Random
12/19/2022 12
Bit vs Qubit Maze
12/19/2022 13
Qubit – The ‘Qu’antum Bit
• Fundamental unit that carry
Quantum information.
• Can be 0, 1 or 0 and 1 at the
same time.
• Kinds:
• Spin
• Ions
• Photon
12/19/2022 14
Quantum Superposition
• Results from dual nature of
matter.
• The non – zero probability of an
electron to be in more than one
distinct state.
• So, until when it stays that way?
• Until it is measured…
12/19/2022 15
ALL POSSIBLE STATES AT ONCE!!!
Any two (or more) quantum states added
together ("superposed") and the result will
be another valid Quantum State
12/19/2022 16
Quantum Decoherence (Inconsistence)
Increase in Qubits…
Problem!
Un – intended and
unpredictable
change in Qubit’s
state by external
interference in the
system.
12/19/2022 17
Quantum Entanglement
• Measurement of one Qubit shall
affect the measurement of other.
• Without any Direct Interaction!!!
• Property can be observed even if
the 2 particles are far apart in
space (be it Galaxies apart!)
12/19/2022 18
How does that happen?
• 2 entangled electrons existing
in undecided states each hit
with a photon.
• Resultant is combined into a
single wave and interpreted.
12/19/2022 19
Cartoon Representation of Entanglement!
12/19/2022 20
Quantum Supremacy
• Also known as the Quantum Advantage
• Programmable Quantum device that can solve a problem that no classical
computer can solve in any feasible amount of time.
• Status – Achieved
• Year – 2019
• Achieved by ‘Google’
• Specifications: 54 Qubit processor; Name: Sycamore
• Time taken by the best supercomputer – 10,000 years!
• Target Achieved in 200 seconds!
• Reference Paper: https://www.nature.com/articles/s41586-019-1666-5
12/19/2022 21
“The important thing is NEVER
stop questioning!
Curiosityhas its own reason for
Existence…”
Albert Einstein
12/19/2022 22

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Quantum Computing

  • 1. Quantum Computing Touching the Basics! Saomya Chaudhury 12/19/2022 1
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  • 3. “To unlock the secrets of the UNIVERSE one must think in terms of Energy, Frequency & Vibration” Nikola Tesla 12/19/2022 3
  • 4. The world from Newton’s glasses (Classical Mechanics) • Proposed by Sir Issac Newton in 1687 in his legendary book ‘Naturalis Principia Mathematica’. • Applicable to ‘Macro’ scopic objects (humans, spaceships, planets, stars). • Highly accurate results for large–scale objects. • Speeds involving way less than the speed of light! • NOT applicable for extremely small particles (electrons). Why? 12/19/2022 4
  • 5. The SCALE of physical objects How much do we know? 12/19/2022 5
  • 6. Quantum Timeline • End of 19th Century General consensus that all important laws of physics are discovered; remaining work is essentially “housekeeping” • 1920's: Birth of Quantum Mechanics Werner Heisenberg, Max Born, Albert Einstein, Erwin Schrödinger, Niels Bohr... • 1927 Fifth Solvay International Conference on Electrons and Photons • 1940’s Birth of computer science (Alan Turing, Alonzo Church) • 1982 Richard Feynman points out the intrinsic difficulties in making predictions on quantum systems (‘simulating quantum systems”); he suggests that building computers based on quantum mechanics could solve this problem. • 1996 Discovery of a wide class of quantum error-correcting codes (CSS codes) by Robert Calderbank and Peter Shor, and Andrew Steane. • 2001 First quantum factoring (15=3x5) • 2011 D-Wave announces a quantum annealing device, called D- Wave One. This is the first commercially available quantum computing device (but not a universal quantum computer) • 2019 Google announces Quantum Supremacy. 12/19/2022 6
  • 8. ATOMS and their REPRESENTATION… 12/19/2022 8
  • 9. Isn’t it a representation like this? 12/19/2022 9
  • 10. But wait – Is it complete? Well ‘NO’ • Why? Elementary particles have ‘Dual Nature’ (thanks to De – Broglie): • Particle • Wave • Important characteristics that must be explained: • Position • Velocity • Energy • Probability Enter the strange world of ‘Quantum Mechanics’ 12/19/2022 10
  • 11. So how do atoms ‘REALLY’ look like? 12/19/2022 11
  • 12. Classical vs Quantum – A war far from over! PARAMETER CLASSICAL COMPUTING QUANTUM COMPUTING Information storage Classical Bits/ Bits Qubits Possible States 0 OR 1 Infinite (All possible states) |0⟩, |1⟩, ∣ψ⟩=α∣0⟩+β∣1⟩ Order of data processing Sequential Parallel Calculations Deterministic (you know your output) Probabilistic (output is based on probabilities) Operational Capability Room Temperature Ultracold temperatures --- Why?? Error rates Low High Randomness Falsely Random Truly Random 12/19/2022 12
  • 13. Bit vs Qubit Maze 12/19/2022 13
  • 14. Qubit – The ‘Qu’antum Bit • Fundamental unit that carry Quantum information. • Can be 0, 1 or 0 and 1 at the same time. • Kinds: • Spin • Ions • Photon 12/19/2022 14
  • 15. Quantum Superposition • Results from dual nature of matter. • The non – zero probability of an electron to be in more than one distinct state. • So, until when it stays that way? • Until it is measured… 12/19/2022 15
  • 16. ALL POSSIBLE STATES AT ONCE!!! Any two (or more) quantum states added together ("superposed") and the result will be another valid Quantum State 12/19/2022 16
  • 17. Quantum Decoherence (Inconsistence) Increase in Qubits… Problem! Un – intended and unpredictable change in Qubit’s state by external interference in the system. 12/19/2022 17
  • 18. Quantum Entanglement • Measurement of one Qubit shall affect the measurement of other. • Without any Direct Interaction!!! • Property can be observed even if the 2 particles are far apart in space (be it Galaxies apart!) 12/19/2022 18
  • 19. How does that happen? • 2 entangled electrons existing in undecided states each hit with a photon. • Resultant is combined into a single wave and interpreted. 12/19/2022 19
  • 20. Cartoon Representation of Entanglement! 12/19/2022 20
  • 21. Quantum Supremacy • Also known as the Quantum Advantage • Programmable Quantum device that can solve a problem that no classical computer can solve in any feasible amount of time. • Status – Achieved • Year – 2019 • Achieved by ‘Google’ • Specifications: 54 Qubit processor; Name: Sycamore • Time taken by the best supercomputer – 10,000 years! • Target Achieved in 200 seconds! • Reference Paper: https://www.nature.com/articles/s41586-019-1666-5 12/19/2022 21
  • 22. “The important thing is NEVER stop questioning! Curiosityhas its own reason for Existence…” Albert Einstein 12/19/2022 22

Editor's Notes

  1. Naturalis Principia Mathematica – will talk about Calculus. More specifically: Gradient Descent. Local Minimum. Because electrons move at very high speeds. Credits: https://www.clearias.com/classical-mechanics-vs-quantum-mechanics/
  2. Complex Probability Amplitudes