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 language | English |
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Pages (from-to) | 847-854 |
Number of pages | 8 |
Journal | Linear and Multilinear Algebra |
Volume | 58 |
Issue number | 7 |
DOIs | |
Publication status | Published - 2010 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory