TY - GEN
T1 - Universal recoverability in quantum information
AU - Junge, Marius
AU - Renner, Renato
AU - Sutter, David
AU - Wilde, Mark M.
AU - Winter, Andreas
N1 - Funding Information:
We thank O. Fawzi, R. Frank, E. Lieb, V. Scholz, M. Tomamichel, and T. Vidick for helpful discussions. MJ was supported by NSF DMS 1501103 and NSFDMS 1201886. RR and DS acknowledge support by the European Research Council (ERC) via grant No. 258932, by the Swiss National Science Foundation (SNSF) via the National Centre of Competence in Research QSIT, and by the European Commission via the project RAQUEL. MMW acknowledges the NSF under Award No. CCF-1350397 and DARPA Quiness through award W31P4Q-12-1-0019. AWs work was supported by the EU (STREP RAQUEL), the ERC (AdG IRQUAT), the Spanish MINECO (grant FIS2013-40627-P) with the support of FEDER funds, as well as by the Generalitat de Catalunya CIRIT, project 2014-SGR-966
Publisher Copyright:
© 2016 IEEE.
PY - 2016/8/10
Y1 - 2016/8/10
N2 - The quantum relative entropy is well known to obey a monotonicity property (i.e., it does not increase under the action of a quantum channel). Here we present several refinements of this entropy inequality, some of which have a physical interpretation in terms of recovery from the action of the channel. The recovery channel given here is explicit and universal, depending only on the channel and one of the arguments to the relative entropy.
AB - The quantum relative entropy is well known to obey a monotonicity property (i.e., it does not increase under the action of a quantum channel). Here we present several refinements of this entropy inequality, some of which have a physical interpretation in terms of recovery from the action of the channel. The recovery channel given here is explicit and universal, depending only on the channel and one of the arguments to the relative entropy.
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U2 - 10.1109/ISIT.2016.7541748
DO - 10.1109/ISIT.2016.7541748
M3 - Conference contribution
AN - SCOPUS:84985990094
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 2494
EP - 2498
BT - Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2016 IEEE International Symposium on Information Theory, ISIT 2016
Y2 - 10 July 2016 through 15 July 2016
ER -