Suboptimal quantum-error-correcting procedure based on semidefinite programming

Naoki Yamamoto, Shinji Hara, Koji Tsumura

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number022322
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume71
Issue number2
DOIs
Publication statusPublished - 2005 Feb 1
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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