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CS 1 with Robots
UNIVERSITE DE STRASBOURG
UFR Physique & Ingénierie
English Presentation:
Presented on : December 16, 2015
English professor:
Mrs Sabine Roth
Realized by :
HADDAD ANIS
2
• Overview
• Introduction and History
• Data Representation (Qubits)
• Operations on Data
• Quantum Computer Languages (Shor’s Algorithm)
• Problems and disadvantages
• Conclusion and Open Questions
December 16, 2015
3
• Overview
• Introduction and History
December 16, 2015
4
• Introduction and History
Moore’s Law
December 16, 2015
5
• Introduction and History
Richard Feynman 1982
December 16, 2015
Feynman proposed the
idea of creating
machines based on the
laws of quantum
mechanics instead of
the laws of classical
physics.
6
• Introduction and History
David Deutsch 1985
December 16, 2015
developed the
quantum Turing
machine, showing that
quantum circuits are
universal.
7
• Introduction and History
What is a quantum computer?
A quantum computer is a machine
that performs calculations based
on the laws of quantum
mechanics, which is the behavior
of particles at the sub-atomic
level.
December 16, 2015
“I think I can safely say
that nobody understands
quantum mechanics” -
Feynman
8
• Introduction and History
December 16, 2015
Applications:
 Cryptography
 Artificial intelligence
 Teleportation
 Quantum Communication
9
• Overview
• Data Representation
December 16, 2015
10
• Data Representation
How can we represent data on
computers ?
Classical computers  Bit
 Can only take ‘0’ or ‘1’
December 16, 2015
Ideal for classical
mechanics application
11
• Data Representation
What’s about quantum computers?
Quantum computers  two levels
quantum system  Qubit
 Can take more than one value
December 16, 2015
Dosn’t work with
classical mechanics
applications
12
• Data Representation
Qubit
December 16, 2015
Physical implementation  must use the two
energy levels of an atom
Ground state Excited state
13
• Data Representation
Qubit
December 16, 2015
Qbit in superposition 
Ground State |0>
Excited State |1>
14
• Overview
• Operations on Data
December 16, 2015
15
• Operations on Data
Operations on Data
December 16, 2015
Classical Computers  Classical Gates
A
B
C
A B C
0 0 0
0 1 0
1 0 0
1 1 1
Input Output
For Example :
The AND Gate
16
• Operations on Data
Operations on Data
December 16, 2015
Quantum Computers  Classical Gates ???
A
B
C
A B C
0 0 0
0 1 0
1 0 0
1 1 1
Input Output
The AND Gate
The answer is No !
17
• Operations on Data
December 16, 2015
A
B
C
The AND Gate
A B C
0 0 0
0 1 0
1 0 0
1 1 1
Input Output
In these 3 cases,
information is
being destroyed
gate will cause heat
to be evolvedDestruction of Qubits Superposition
Quantum physics nature
18
• Operations on Data
December 16, 2015
We must use Quantum Gates
H
State |0> State |0> + |1>
H
State |1>
Hadamard Gate:
The original input state can be derived from the
output state They must be reversible.
19
• Overview
• Quantum Computer
Languages (Shor’s Algorithm)
December 16, 2015
20
• Quantum Computers Languages (Shor’s Algorithm)
December 16, 2015
Peter Shor (1994)
A quantum computer is capable of
factoring very large numbers in
polynomial time.
F(a) = x^a mod N is a periodic function
7 mod 15 = 1
7 mod 15 = 7
7 mod 15 = 4
7 mod 15 = 13
7 mod 15 = 1
0
1
2
3
4
.
.
.
21
• Overview
• Problems and disadvantages
December 16, 2015
22
• Problems and disadvantages …
December 16, 2015
 Decoherence  must be isolated
 Uncertainty Principle  Can’t measure without disturb
 Ability to crack passwords
 Can Break every level of encryption
 Complex Hardware Schemes
 Cost
23
• Overview
• Conclusion
December 16, 2015
24
• Conclusion
December 16, 2015
 In 2001, a 7 qubit machine was built and
programmed to run Shor’s algorithm to
successfully factor 15.
 In December 8, 2015
The D-Wave 2X quantum computer at NASA's
Advanced Supercomputer Facility in Silicon Valley
Quantum chip 1,097 Qubits
25
• Conclusion
December 16, 2015
A quantum computer outperformed a
conventional machine by 100 million times
Can quantum computers solve Complete
problems in polynomial time?
26
• References
- How quantum computers work: YouTube video
https://www.youtube.com/watch?v=g_IaVepNDT4
- Quantum Computers. Retrieved on December 1st, 2002 from:
http://www.ewh.ieee.org/r10/bombay/news4/Quantum_Comput
ers.htm
- “The Physics of Quantum Mechanics” James Binney and
David Skinne.
- Quantum Computers: What are They and What Do They
Mean to Us? Retrieved on December 1st, 2002 from:
http://www.carolla.com/quantum/QuantumComputers.htm
- Google: Our quantum computer is 100 million times faster
than a conventional system.
http://www.extremetech.com/extreme/219160-googles-
quantum-computer-is-100-million-times-faster-than-a-
conventional-system
December 16, 2015
27
• Keywords
Quantum mechanics, Qubit, D-wave, Algorithm,
Nanotechnology, Processors, Engineering, Applied physics,
Microsystems, Silicon, Research, Electronic, Performance,
Computers, Binary, Hack, Prototypes, High-Tech revolution,
Quantum processors, Cryptography
December 16, 2015
Thank you :
28

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Quantum Computers

  • 1. CS 1 with Robots UNIVERSITE DE STRASBOURG UFR Physique & Ingénierie English Presentation: Presented on : December 16, 2015 English professor: Mrs Sabine Roth Realized by : HADDAD ANIS
  • 2. 2 • Overview • Introduction and History • Data Representation (Qubits) • Operations on Data • Quantum Computer Languages (Shor’s Algorithm) • Problems and disadvantages • Conclusion and Open Questions December 16, 2015
  • 3. 3 • Overview • Introduction and History December 16, 2015
  • 4. 4 • Introduction and History Moore’s Law December 16, 2015
  • 5. 5 • Introduction and History Richard Feynman 1982 December 16, 2015 Feynman proposed the idea of creating machines based on the laws of quantum mechanics instead of the laws of classical physics.
  • 6. 6 • Introduction and History David Deutsch 1985 December 16, 2015 developed the quantum Turing machine, showing that quantum circuits are universal.
  • 7. 7 • Introduction and History What is a quantum computer? A quantum computer is a machine that performs calculations based on the laws of quantum mechanics, which is the behavior of particles at the sub-atomic level. December 16, 2015 “I think I can safely say that nobody understands quantum mechanics” - Feynman
  • 8. 8 • Introduction and History December 16, 2015 Applications:  Cryptography  Artificial intelligence  Teleportation  Quantum Communication
  • 9. 9 • Overview • Data Representation December 16, 2015
  • 10. 10 • Data Representation How can we represent data on computers ? Classical computers  Bit  Can only take ‘0’ or ‘1’ December 16, 2015 Ideal for classical mechanics application
  • 11. 11 • Data Representation What’s about quantum computers? Quantum computers  two levels quantum system  Qubit  Can take more than one value December 16, 2015 Dosn’t work with classical mechanics applications
  • 12. 12 • Data Representation Qubit December 16, 2015 Physical implementation  must use the two energy levels of an atom Ground state Excited state
  • 13. 13 • Data Representation Qubit December 16, 2015 Qbit in superposition  Ground State |0> Excited State |1>
  • 14. 14 • Overview • Operations on Data December 16, 2015
  • 15. 15 • Operations on Data Operations on Data December 16, 2015 Classical Computers  Classical Gates A B C A B C 0 0 0 0 1 0 1 0 0 1 1 1 Input Output For Example : The AND Gate
  • 16. 16 • Operations on Data Operations on Data December 16, 2015 Quantum Computers  Classical Gates ??? A B C A B C 0 0 0 0 1 0 1 0 0 1 1 1 Input Output The AND Gate The answer is No !
  • 17. 17 • Operations on Data December 16, 2015 A B C The AND Gate A B C 0 0 0 0 1 0 1 0 0 1 1 1 Input Output In these 3 cases, information is being destroyed gate will cause heat to be evolvedDestruction of Qubits Superposition Quantum physics nature
  • 18. 18 • Operations on Data December 16, 2015 We must use Quantum Gates H State |0> State |0> + |1> H State |1> Hadamard Gate: The original input state can be derived from the output state They must be reversible.
  • 19. 19 • Overview • Quantum Computer Languages (Shor’s Algorithm) December 16, 2015
  • 20. 20 • Quantum Computers Languages (Shor’s Algorithm) December 16, 2015 Peter Shor (1994) A quantum computer is capable of factoring very large numbers in polynomial time. F(a) = x^a mod N is a periodic function 7 mod 15 = 1 7 mod 15 = 7 7 mod 15 = 4 7 mod 15 = 13 7 mod 15 = 1 0 1 2 3 4 . . .
  • 21. 21 • Overview • Problems and disadvantages December 16, 2015
  • 22. 22 • Problems and disadvantages … December 16, 2015  Decoherence  must be isolated  Uncertainty Principle  Can’t measure without disturb  Ability to crack passwords  Can Break every level of encryption  Complex Hardware Schemes  Cost
  • 24. 24 • Conclusion December 16, 2015  In 2001, a 7 qubit machine was built and programmed to run Shor’s algorithm to successfully factor 15.  In December 8, 2015 The D-Wave 2X quantum computer at NASA's Advanced Supercomputer Facility in Silicon Valley Quantum chip 1,097 Qubits
  • 25. 25 • Conclusion December 16, 2015 A quantum computer outperformed a conventional machine by 100 million times Can quantum computers solve Complete problems in polynomial time?
  • 26. 26 • References - How quantum computers work: YouTube video https://www.youtube.com/watch?v=g_IaVepNDT4 - Quantum Computers. Retrieved on December 1st, 2002 from: http://www.ewh.ieee.org/r10/bombay/news4/Quantum_Comput ers.htm - “The Physics of Quantum Mechanics” James Binney and David Skinne. - Quantum Computers: What are They and What Do They Mean to Us? Retrieved on December 1st, 2002 from: http://www.carolla.com/quantum/QuantumComputers.htm - Google: Our quantum computer is 100 million times faster than a conventional system. http://www.extremetech.com/extreme/219160-googles- quantum-computer-is-100-million-times-faster-than-a- conventional-system December 16, 2015
  • 27. 27 • Keywords Quantum mechanics, Qubit, D-wave, Algorithm, Nanotechnology, Processors, Engineering, Applied physics, Microsystems, Silicon, Research, Electronic, Performance, Computers, Binary, Hack, Prototypes, High-Tech revolution, Quantum processors, Cryptography December 16, 2015