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Published February 24, 2017 | Published + Supplemental Material + Submitted
Journal Article Open

Catalytic Decoupling of Quantum Information

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.

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).

Attached Files

Published - PhysRevLett.118.080503.pdf

Submitted - 1605.00514v1.pdf

Supplemental Material - catalytic_prl_supp.pdf

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Created:
August 19, 2023
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October 19, 2023