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Quantum Computing. Physics 496 Jeffrey Kiyabu. Quantum Computing. Bits & Qubits Quantum phenomena A. Superposition B. Parallelism C. Interference Computation A. Unitary operators (logic gates) B. Algorithms Technological/Systematic Obstacles A. Decoherence

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quantum computing
Quantum Computing

Physics 496

Jeffrey Kiyabu

quantum computing2
Quantum Computing
  • Bits & Qubits
  • Quantum phenomena

A. Superposition

B. Parallelism

C. Interference

  • Computation

A. Unitary operators (logic gates)

B. Algorithms

  • Technological/Systematic Obstacles

A. Decoherence

B. Hardware architecture

bits qubits
Bits & Qubits

Bit – 0 or 1

Qubit – quantum mechanical two-state system (spin up, spin down or 0, 1); a system of n qubits represents 2n possible states

quantum phenomena
Quantum Phenomena
  • Superposition
  • Parallelism
  • Interference
computation
Computation
  • Unitary operators (logic gates) e.g. not-gate
  • Algorithm – sequence of logic gates operating on a system

e.g. quantum search algorithm

obstacles
Obstacles
  • Decoherence – information in the system lost to environment
  • Hardware architecture
quantum computing7
Quantum Computing
  • Bits & Qubits
  • Quantum phenomena

A. Superposition

B. Interference

C. Parallelism

  • Computation

A. Unitary operators (logic gates)

B. Algorithms

  • Technological/Systematic Obstacles

A. Decoherence

B. Hardware architecture

slide8
“Where a calculator on the Eniac is equipped with 18000 vacuum tubes and weighs 30 tons, computers in the future may have only 1000 tubes and weigh only 1 1/2 tons,"

-Popular Mechanics, March 1949.

references
References

1. Ekert, Arthur., et al. “Basic concepts in quantum computation.” Quantiki. (2006): 16 April 2007. <http://www.quantiki.org/wiki/index.php/Basic_concepts_in_quantum_ computation>.

2. Grover, Lov. Quantum Computing. “The Sciences.” August 1999.

<http://cryptome.org/qc-grover.htm>.

3. Hirvensalo, Mika. Quantum Computing. 2nd edition. Ed. Rozenberg, G. Berlin: Springer-Verlag, 2004.

4. Mathematics of Quantum Computation. Ed. Brylinski, Ranee K. and Chen, Goong. Boca Raton: Chapman & Hall/CRC, 2002.

5. West, James. “The Quantum Computer.” An introduction to Quantum Computing. 28 April 2000. <http://www.cs.caltech.edu/~westside/quantum-intro.html >.

6. “Quantum computer.” Wikipedia. 16 April 2007.

<http://en.wikipedia.org/wiki/Quantum_computer>.