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Decoherence and programmable quantum computation

Publication ,  Journal Article
Barnes, JP; Warren, WS
Published in: Physical Review A - Atomic, Molecular, and Optical Physics
January 1, 1999

When coherent states of the electromagnetic field are used to drive the evolution of a quantum computer, a decoherence results due to the back reaction from the qubits onto the fields. We show how to calculate this effect. No assumptions about the environment are necessary, so this represents a useful model to test the fidelity of quantum error correcting codes. We examine two cases of interest. First, the decoherence from the Walsh-Hadamard transformations in Grover’s search algorithm is found [Phys. Rev. Lett. 79, 325 (1997)]. Interference effects, and decoherence-dependent phases, are present that could be useful in reducing the decoherence. Second, Shor’s fault-tolerant controlled-NOT gate is examined, utilizing frequency-selective pulses [Proceedings, 35th Annual Symposium on Foundations of Computer Science (IEEE Press, New York, 1994), pp. 56–65]. This implementation is found not to be optimal in regards to fault-tolerant quantum computation. © 1999 The American Physical Society.

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Published In

Physical Review A - Atomic, Molecular, and Optical Physics

DOI

EISSN

1094-1622

ISSN

1050-2947

Publication Date

January 1, 1999

Volume

60

Issue

6

Start / End Page

4363 / 4374

Related Subject Headings

  • General Physics
  • 03 Chemical Sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Barnes, J. P., & Warren, W. S. (1999). Decoherence and programmable quantum computation. Physical Review A - Atomic, Molecular, and Optical Physics, 60(6), 4363–4374. https://doi.org/10.1103/PhysRevA.60.4363
Barnes, J. P., and W. S. Warren. “Decoherence and programmable quantum computation.” Physical Review A - Atomic, Molecular, and Optical Physics 60, no. 6 (January 1, 1999): 4363–74. https://doi.org/10.1103/PhysRevA.60.4363.
Barnes JP, Warren WS. Decoherence and programmable quantum computation. Physical Review A - Atomic, Molecular, and Optical Physics. 1999 Jan 1;60(6):4363–74.
Barnes, J. P., and W. S. Warren. “Decoherence and programmable quantum computation.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 60, no. 6, Jan. 1999, pp. 4363–74. Scopus, doi:10.1103/PhysRevA.60.4363.
Barnes JP, Warren WS. Decoherence and programmable quantum computation. Physical Review A - Atomic, Molecular, and Optical Physics. 1999 Jan 1;60(6):4363–4374.

Published In

Physical Review A - Atomic, Molecular, and Optical Physics

DOI

EISSN

1094-1622

ISSN

1050-2947

Publication Date

January 1, 1999

Volume

60

Issue

6

Start / End Page

4363 / 4374

Related Subject Headings

  • General Physics
  • 03 Chemical Sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences