A simple family of nonadditive quantum codes

Details A simple family of nonadditive quantum codes A simple family of nonadditive quantum codes

2007-01-11

arxiv.org/abs/quant-ph/0701065v2

Phys. Rev. Lett. 99, 130505 (2007)

Physics

Quantum Physics

3 pages, new version with slight clarifications, no results are changed

Scientific paper

10.1103/PhysRevLett.99.130505

Most known quantum codes are additive, meaning the codespace can be described as the simultaneous eigenspace of an abelian subgroup of the Pauli group. While in some scenarios such codes are strictly suboptimal, very little is understood about how to construct nonadditive codes with good performance. Here we present a family of nonadditive quantum codes for all odd blocklengths, n, that has a particularly simple form. Our codes correct single qubit erasures while encoding a higher dimensional space than is possible with an additive code or, for n of 11 or greater, any previous codes.

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