Quantum'Computing'
History'and'Prospects'
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Vesselin G. Gueorguiev
Ronin Institute &
Institute for Advanced Physical Studies
Outline'
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!   Brief'History'of'Computing'
!   Brief'History'of'Physics'
!   Key'Concepts'in'Quantum'Computing'
!   Possible'Applications'of'QC'
!   Present'Status'on'QC'Resources'
!   Problems'and'Future'Directions'
!   Conclusion'
!   Open'Discussion'
Brief'History'of'Computing'
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!   Sumerian'abacus'invented'in'Babylon'c.'2700–2300'BC'
!   ~'100'BC'The'Antikythera'mechanism'
'an'ancient'Greek'astronomical''
'analogue'computer'
!   By'1500'(the'High'Middle'Ages)'the'positional'Hindu–Arabic'
numeral'system'had'reached'Europe.'
!   1613'Richard'Braithwaite'T'‘computer’'
!   1622'Slide'Rule'invented'by'William'Oughtred'
!   '1623'Wilhelm'Schickard'invented'a'calculating'machine'&'
Francis'Bacon'first'uses'Binary'
!   1703'Gottfried'Wilhelm'Leibniz'invents'the'Binary'System'
Sources:%Wikipedia%and%The%Centre%for%Computing%History,%UK%%
Moore’s'Law'
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https://fossbytes.com/mooresOlawOisOfinallyOdeadOrestOinOpeaceOmooresOlaw/%
Moore’s'Law'scaling'
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Brief'History'of'Classical'Physics'
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https://en.wikipedia.org/wiki/History_of_physics%
Brief'History'of'Quantum'Physics'
!   1900'&'1905'the'concept'of'Quanta'of'light'affirmed'computationally'by'Max'
Planck'and'Albert'Einstein:'
'
!   1911'&'1923'Niels'Bohr'model'and'Louis'de'Broglie'wave'hypothesis:'
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Brief'History'of'Quantum'Physics'
!   1920s'the'phrase'"quantum'mechanics"'(Quantenmechanik)'
was'coined'by'Max'Born,'Werner'Heisenberg'&'Wolfgang'Pauli'
!   1925'matrix'mechanics'
!   1927'Heisenberg'uncertainty'principle,'Pauli'exclusion'principle'
and'Pauli'2x2'spin'matrices.'
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Brief'History'of'Quantum'Physics'
!   Erwin'Schrödinger,'Paul'Dirac,'Richard'Feynman'
!   1926,'1928,'1948''
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The'Mystery'of'Quantum'Physics'
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https://www.youtube.com/playlist?list=PL5rRTWhDJLTOivUQmwSEW_kC1iOxnuveN%
Key'Concepts'in'
Quantum'Computing'
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Key'Concepts'in'
Quantum'Computing'
© 2014 D-Wave Systems Inc. All Rights Reserved 7
Quantum
Tunneling
Superposition Entanglement
Key Quantum Effects
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Data Representation - Qubits
A bit of data is represented by a single atom that is in one of two states denoted
by |0> and |1>. A single bit of this form is known as a qubit.
A physical implementation of a qubit could use the two energy levels of an atom.
An excited state representing |1> and a ground state representing |0>.
A single qubit can be forced into a superpositionof the two states denoted
by the addition of the state vectors:
|> = |0> + β|1>
Where  and β are complex numbers and |  |² + | β  |² = 1
Schrödinger's%cat%
1
2
01 ± 10( )
1
2
00 ± 11( )
Key'Concepts'in'QC'
What special about Quantum computer
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The%QObit%represented%%
as%a%Bloch%sphere%%
x2
+ y2
=1
Generators'of'Rotations'
as'quantum'gates:'
'
PauliTX'gate'
'
PauliTY'gate'
'
PauliTZ'gate'
Key'Concepts'in'QC'
0
Quantum Gates-Hadamard
 Simplest gate involves one qubit and is called a Hadamard
Gate (also known as a square-root of NOT gate.) Used to
put qubits into superposition.
H H
State |0> State |1>State |0> + State |1>
Two Hadamard gates used in succession can be used
as a NOT gate.
Note:
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Possible'Applications'of'QC'
!   Quantum'Communications''
!   Quantum'Key'Distribution'(BB84'Bennett'&'Brassard'1984)'
!   Cryptography'–'Prime'Number'Factorization'(Peter'Shor'1994)'
!   State'Teleportation'(Charles'Bennett'et'al'1993)'
!   Artificial'Intelligence'
!   Large'Data'processing'(Lov'Grover'search'1997)'
!   Optimization'problems'…'
!   Pattern'Recognition'…'
!   Variety'of'Art'form’s'expressions'…'
!   ???''
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Quantum'Teleportation'
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https://researcher.watson.ibm.com/researcher/view_group.php?id=2862%
Advantage'of'the'Shor’s'Algorithm'
# bits 1024 2048 4096
factoring in 2006 105 years 5x1015 years 3x1029 years
factoring in 2024 38 years 1012 years 7x1025 years
factoring in 2042 3 days 3x108 years 2x1022 years
with a classical computer
# bits 1024 2048 4096
# qubits 5124 10244 20484
# gates 3x109 2X1011 X1012
factoring time 4.5 min 36 min 4.8 hours
with potential quantum computer
Quantum Algorithm:
Shor’s Algorithm
In 2001, Shor's algorithm was demonstrated by a group at IBM,
who factored 15 into 3 × 5, using an NMR implementation of a
quantum computer with 7 qubits
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See also R. J. Hughes, LA-UR-97-4986
Possible'Applications'of'QC'
© 2014 D-Wave Systems Inc. All Rights Reserved 12
What is the future of quantum computing?
Health
Finance Computing
Space
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Present'Status'on''
QC'Resources'
!   Quantum'Computing'Hardware'
!   DTWave'(128/512)'
!   IBM'(50)'
!   Intel'(49)'
!   Google'(72)'
! Rigetti'(19)''
! AliBaba'(11)'
!   Quantum'Computing'Software'
!   DTWave''
!   IBM'QTExperience'and'QISKit'
! Rigetti'Forest'
!   Microsoft'#Q,'Google'CirQ,'QC'Ware'
!   Applied'Communication'Sciences'(ACS)'
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© 2014 D-Wave Systems Inc. All Rights Reserved 6
• Exploits properties of quantum physics
• Built  around  “qubits”  rather  than  “bits”
• Qubits are 1 or 0 and both simultaneously
• Operates in an extreme environment:
– 150x colder than interstellar space
– Shielded to 50,000× less  than  Earth’s  
magnetic field
– Very low pressure: 10B times lower
than atmospheric pressure
What is a quantum computer?
DTWave'2000Tqubit'processor'
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IBM'50TQubit'Processor'
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‘Tangle'Lake,’'Intel’s'49TQubit'Processor'
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https://newsroom.intel.com/news/futureOquantumOcomputingOcountedOqubits/%
26%spin%qObits%
Problems'and'Future'
Directions'
!   DeTcoherence''
!   Error'Correction'
!   Output'Measurement'
!   Finding'“the'right'problems”'for'a'quantum'computer''
!   Cost'
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Conclusion'
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https://www.explainingcomputers.com/quantum.html%
!   QC'will'be'complementary'to'classical'computing!'
!   It'will'be'few'more'years'until'becoming'of'age!'
!   Therefore'it'is'a'wideTopen'field'of'opportunities:'
!   Hardware'development''
!   Software'development'
!   Future'QC'based'services'and'applications''
!   You'can'pick'your'favorite'now'or'explore'multiple'
options!''
Open'Discussion'
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Quantum Computing - History and Prospects (pdf)