Iterative Optimization of Quantum Error Correcting Codes

Details Iterative Optimization of Quantum Error Correcting Codes Iterative Optimization of Quantum Error Correcting Codes

2003-07-19

arxiv.org/abs/quant-ph/0307138v2

Phys. Rev. Lett. 94, 080501 (2005)

Physics

Quantum Physics

5 pages, 2 figures, REVTeX 4; stability of algorithm included

Scientific paper

10.1103/PhysRevLett.94.080501

We introduce a convergent iterative algorithm for finding the optimal coding and decoding operations for an arbitrary noisy quantum channel. This algorithm does not require any error syndrome to be corrected completely, and hence also finds codes outside the usual Knill-Laflamme definition of error correcting codes. The iteration is shown to improve the figure of merit "channel fidelity" in every step.

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