Efficient quantum error correction for fully correlated noise

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

Research output: Journal article publicationJournal articleAcademic researchpeer-review

15 Citations (Scopus)

Abstract

We investigate an efficient quantum error correction of a fully correlated noise. Suppose the noise is characterized by a quantum channel whose error operators take fully correlated forms given by σx⊗n, σy⊗nand σz⊗n, where n>2 is the number of qubits encoding the codeword. It is proved that (i) n qubits codeword encodes (n-1) data qubits when n is odd and (ii) n qubits codeword implements an error-free encoding, which encode (n-2) data qubits when n is even. Quantum circuits implementing these schemes are constructed.
Original languageEnglish
Pages (from-to)3255-3258
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume375
Issue number37
DOIs
Publication statusPublished - 29 Aug 2011

Keywords

  • Higher rank numerical range
  • Mixed unitary channel
  • Quantum error correction
  • Recovery operator

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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