Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states
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...
| Main Authors: | , , |
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| Format: | Article |
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IOP Publishing
2012
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| Online Access: | https://eprints.nottingham.ac.uk/2436/ |
| _version_ | 1848790785048182784 |
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| author | Bowles, P. Guţă, M. Adesso, Gerardo |
| author_facet | Bowles, P. Guţă, M. Adesso, Gerardo |
| author_sort | Bowles, P. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:18:08Z |
| format | Article |
| id | nottingham-2436 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:18:08Z |
| publishDate | 2012 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-24362020-05-04T16:34:40Z https://eprints.nottingham.ac.uk/2436/ Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states Bowles, P. Guţă, M. Adesso, Gerardo 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. IOP Publishing 2012-11-29 Article PeerReviewed Bowles, P., Guţă, M. and Adesso, Gerardo (2012) Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states. New Journal of Physics, 14 . 113041/1-113041/17. ISSN 1367-2630 http://iopscience.iop.org/1367-2630/14/11/113041/ doi:10.1088/1367-2630/14/11/113041 doi:10.1088/1367-2630/14/11/113041 |
| spellingShingle | Bowles, P. Guţă, M. Adesso, Gerardo Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states |
| title | Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states |
| title_full | Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states |
| title_fullStr | Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states |
| title_full_unstemmed | Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states |
| title_short | Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states |
| title_sort | asymptotically optimal quantum channel reversal for qudit ensembles and multimode gaussian states |
| url | https://eprints.nottingham.ac.uk/2436/ https://eprints.nottingham.ac.uk/2436/ https://eprints.nottingham.ac.uk/2436/ |