Perturbative quantum error correction

Details Perturbative quantum error correction Perturbative quantum error correction

2011-02-18

arxiv.org/abs/1102.3809v2

Phys. Rev. Lett. 107, 080501 (2011)

Physics

Quantum Physics

Connection with Linblad equation added, minor errors corrected, improved introduction

Scientific paper

10.1103/PhysRevLett.107.080501

We derive simple necessary and sufficient conditions under which a quantum channel obtained from an arbitrary perturbation from the identity can be reversed on a given code to the lowest order in fidelity. We find the usual Knill-Laflamme conditions applied to a certain operator subspace which, for a generic perturbation, is generated by the Lindblad operators. For a weak interaction with an environment, the error space to be corrected is a subspace of that spanned by the interaction operators, selected by the environment's initial state.

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