Suboptimal quantum-error-correcting procedure based on semidefinite programming

Details Suboptimal quantum-error-correcting procedure based on semidefinite programming Suboptimal quantum-error-correcting procedure based on semidefinite programming

2006-06-13

arxiv.org/abs/quant-ph/0606105v1

Physical Review A 71, 022322 (2005)

Physics

Quantum Physics

6 pages, no figure, Some notations differ from those in the PRA version

Scientific paper

10.1103/PhysRevA.71.022322

In this paper, we consider a simplified error-correcting problem: for a fixed encoding process, to find a cascade connected quantum channel such that the worst fidelity between the input and the output becomes maximum. With the use of the one-to-one parametrization of quantum channels, a procedure finding a suboptimal error-correcting channel based on a semidefinite programming is proposed. The effectiveness of our method is verified by an example of the bit-flip channel decoding.

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