Recovery in quantum error correction for general noise without measurement

Chi Kwong Li, Mikio Nakahara, Yiu Tung Poon, Nung Sing Sze, Hiroyuki Tomita

Research output: Journal article publicationJournal articleAcademic researchpeer-review

7 Citations (Scopus)

Abstract

It is known that one can do quantum error correction without syndrome measurement, which is often done in operator quantum error correction (OQEC). However, the physical realization could be challenging, especially when the recovery process involves high-rank projection operators and a super operator. We use operator theory to improve OQEC so that the implementation can always be done by unitary gates followed by a partial trace operation. Examples are given to show that our error correction scheme outperforms the existing ones in various scenarios.
Original languageEnglish
Pages (from-to)149-158
Number of pages10
JournalQuantum Information and Computation
Volume12
Issue number1-2
Publication statusPublished - 1 Jan 2012

Keywords

  • Higher rank numerical range
  • Mixed unitary channel
  • Operator quantum error correction
  • Quantum error correction

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Theoretical Computer Science
  • Nuclear and High Energy Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Computational Theory and Mathematics

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