Information-theoretic approach to quantum error correction and reversible measurement
Abstract
Quantum operations provide a general description of the state changes allowed by quantum mechanics. The reversal of quantum operations is important for quantum error-correcting codes, teleportation, and reversing quantum measurements. We derive information-theoretic conditions and equivalent algebraic conditions that are necessary and sufficient for a general quantum operation to be reversible. We analyze the thermodynamic cost of error correction and show that error correction can be regarded as a kind of ``Maxwell demon,'' for which there is an entropy cost associated with information obtained from measurements performed during error correction. A prescription for thermodynamically efficient error correction is given.
Cite
@article{arxiv.quant-ph/9706064,
title = {Information-theoretic approach to quantum error correction and reversible measurement},
author = {M. A. Nielsen and Carlton M. Caves and Benjamin Schumacher and Howard Barnum},
journal= {arXiv preprint arXiv:quant-ph/9706064},
year = {2009}
}
Comments
31 pages, REVTEX, one figure in LaTeX, submitted to Proceedings of the ITP Conference on Quantum Coherence and Decoherence