Conditions for the approximate correction of algebras

Details Conditions for the approximate correction of algebras Conditions for the approximate correction of algebras

2009-07-24

arxiv.org/abs/0907.4207v1

TQC 2009 LNCS 5906, pp. 6675 (2009)

Physics

Quantum Physics

Related to a talk given at TQC 2009 in Waterloo

Scientific paper

We study the approximate correctability of general algebras of observables, which represent hybrid quantum-classical information. This includes approximate quantum error correcting codes and subsystems codes. We show that the main result of arXiv:quant-ph/0605009 yields a natural generalization of the Knill-Laflamme conditions in the form of a dimension independent estimate of the optimal reconstruction error for a given encoding, measured using the trace-norm distance to a noiseless channel.

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