Majenz, Christian and Berta, Mario and Dupuis, Frédéric and Renner, Renato and Christandl, Matthias (2017) Catalytic Decoupling of Quantum Information. Physical Review Letters, 118 (8). Art. No. 080503. ISSN 0031-9007. doi:10.1103/PhysRevLett.118.080503. https://resolver.caltech.edu/CaltechAUTHORS:20160622-114127415
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Abstract
The decoupling technique is a fundamental tool in quantum information theory with applications ranging from thermodynamics to many-body physics and black hole radiation whereby a quantum system is decoupled from another one by discarding an appropriately chosen part of it. Here, we introduce catalytic decoupling, i.e., decoupling with the help of an independent system. Thereby, we remove a restriction on the standard decoupling notion and present a tight characterization in terms of the max-mutual information. The novel notion unifies various tasks and leads to a resource theory of decoupling.
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| Additional Information: | © 2017 American Physical Society. (Received 24 May 2016; published 23 February 2017) We thank Mark M. Wilde for comments on an earlier version of this paper. MC and CM acknowledge financial support from the European Research Council (ERC Grant Agreement No. 337603), the Danish Council for Independent Research (Sapere Aude), the Villum Centre of Excellence for the Mathematics of Quantum Theory (QMATH), and the Swiss National Science Foundation (Project No. PP00P2-150734). MB acknowledges funding by the SNSF through a fellowship, funding by the Institute for Quantum Information and Matter (IQIM), an NSF Physics Frontiers Center (NFS Grant No. PHY-1125565) with support of the Gordon and Betty Moore Foundation (GBMF-12500028), and funding support from the ARO grant for Research on Quantum Algorithms at the IQIM (W911NF-12-1-0521). FD acknowledges the support of the Czech Science Foundation (GA ČR) Project No. GA16-22211S, and FD and RR acknowledge the support of the EU FP7 under Grant Agreement No. 323970 (RAQUEL). | ||||||||||||||||||||||
| Group: | Institute for Quantum Information and Matter | ||||||||||||||||||||||
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| Issue or Number: | 8 | ||||||||||||||||||||||
| DOI: | 10.1103/PhysRevLett.118.080503 | ||||||||||||||||||||||
| Record Number: | CaltechAUTHORS:20160622-114127415 | ||||||||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20160622-114127415 | ||||||||||||||||||||||
| Official Citation: | Catalytic Decoupling of Quantum Information Christian Majenz, Mario Berta, Frédéric Dupuis, Renato Renner, and Matthias Christandl Phys. Rev. Lett. 118, 080503 | ||||||||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||||
| ID Code: | 68587 | ||||||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||||||
| Deposited By: | Jacquelyn O'Sullivan | ||||||||||||||||||||||
| Deposited On: | 27 Jun 2016 16:15 | ||||||||||||||||||||||
| Last Modified: | 11 Nov 2021 04:02 |
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