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Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states

Bowles, P.; Guţă, M.; Adesso, Gerardo

Authors

P. Bowles

M. Guţă

Gerardo Adesso

Abstract

We investigate the problem of optimally reversing the action of an arbitrary quantum channel C which acts independently on each component of an ensemble of n identically prepared d-dimensional quantum systems. In the limit of large ensembles, we construct the optimal reversing channel R☆n which has to be applied at the output ensemble state, to retrieve a smaller ensemble of m systems prepared in the input state, with the highest possible rate m/n. The solution is found by mapping the problem into the optimal reversal of Gaussian channels on multimode quantum-classical continuous variable systems, which is solved here as well. Our general results can be readily applied to improve the implementation of robust long-distance quantum communication. As an example, we investigate the optimal reversal rate of phase flip channels acting on a multi-qubit register.

Journal Article Type Article
Publication Date Nov 29, 2012
Journal New Journal of Physics
Electronic ISSN 1367-2630
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 14
Article Number 113041
Institution Citation Bowles, P., Guţă, M., & Adesso, G. (2012). Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states. New Journal of Physics, 14, doi:10.1088/1367-2630/14/11/113041
DOI https://doi.org/10.1088/1367-2630/14/11/113041
Publisher URL http://iopscience.iop.org/1367-2630/14/11/113041/
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-sa/4.0

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