Optimal error tracking via quantum coding and continuous syndrome measurement

Details Optimal error tracking via quantum coding and continuous syndrome measurement Optimal error tracking via quantum coding and continuous syndrome measurement

2005-11-22

arxiv.org/abs/quant-ph/0511221v1

Physics

Quantum Physics

Scientific paper

We revisit a scenario of continuous quantum error detection proposed by Ahn, Doherty and Landahl [Phys. Rev. A 65, 042301 (2002)] and construct optimal filters for tracking accumulative errors. These filters turn out to be of a canonical form from hybrid control theory; we numerically assess their performance for the bit-flip and five-qubit codes. We show that a tight upper bound on the stochastic decay of encoded fidelity can be computed from the measurement records. Our results provide an informative case study in decoherence suppression with finite-strength measurement.

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