Quantum codes from Hadamard matrices

W. F. Ke, K. F. Lai, R. B. Zhang

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

From each q × q unitary matrix Φ, we construct a family of quantum codes Ct(Φ), t ≥ 1, for q-state systems which encode (2t + 1)2 q-states into one q-state. We show that such codes are capable of correcting the errors of weight up to t if and only if Φ is a complex Hadamard matrix.

Original languageEnglish
Pages (from-to)847-854
Number of pages8
JournalLinear and Multilinear Algebra
Volume58
Issue number7
DOIs
Publication statusPublished - 2010 Sep 24

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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