Perfect quantum error correction coding in 24 laser pulses

Details Perfect quantum error correction coding in 24 laser pulses Perfect quantum error correction coding in 24 laser pulses

1996-04-29

arxiv.org/abs/quant-ph/9604036v2

Physics

Quantum Physics

Replacement paper: Lost two laser pulses gained one author; added appendix with circuits easily implementable on an ion-trap c

Scientific paper

10.1103/PhysRevA.55.945

An efficient coding circuit is given for the perfect quantum error correction of a single qubit against arbitrary 1-qubit errors within a 5 qubit code. The circuit presented employs a double `classical' code, i.e., one for bit flips and one for phase shifts. An implementation of this coding circuit on an ion-trap quantum computer is described that requires 26 laser pulses. A further circuit is presented requiring only 24 laser pulses, making it an efficient protection scheme against arbitrary 1-qubit errors. In addition, the performance of two error correction schemes, one based on the quantum Zeno effect and the other using standard methods, is compared. The quantum Zeno error correction scheme is found to fail completely for a model of noise based on phase-diffusion.

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