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Disentanglement Cost of Quantum States

Berta, Mario and Majenz, Christian (2018) Disentanglement Cost of Quantum States. Physical Review Letters, 121 (19). Art. No. 190503. ISSN 0031-9007. doi:10.1103/PhysRevLett.121.190503.

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We show that the minimal rate of noise needed to catalytically erase the entanglement in a bipartite quantum state is given by the regularized relative entropy of entanglement. This offers a solution to the central open question raised in [Groisman et al., Phys. Rev. A 72, 032317 (2005)] and complements their main result that the minimal rate of noise needed to erase all correlations is given by the quantum mutual information. We extend our discussion to the tripartite setting where we show that an asymptotic rate of noise given by the regularized relative entropy of recovery is sufficient to catalytically transform the state to a locally recoverable version of the state.

Item Type:Article
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URLURL TypeDescription Paper
Berta, Mario0000-0002-0428-3429
Additional Information:© 2018 American Physical Society. Received 27 September 2017; published 9 November 2018. We thank Anurag Anshu, Min-Hsiu Hsieh, and Rahul Jain for discussions. We thank an anonymous referee for pointing out that our results also hold in multi-partite settings. We thank the Institute for Mathematical Sciences at the National University of Singapore for hosting the stimulating workshop Beyond I. I. D. in Information Theory during which part of this work was done. C. M. is supported by a NWO VIDI project and acknowledges financial support from the European Research Council (ERC Grant No. 337603), the Danish Council for Independent Research (Sapere Aude), and VILLUM FONDEN via the QMATH Centre of Excellence (Grant No. 10059).
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Nederlandse Organisatie voor Wetenschappelijk Onderzoek (NWO)UNSPECIFIED
European Research Council (ERC)337603
Danish Council for Independent ResearchUNSPECIFIED
Issue or Number:19
Record Number:CaltechAUTHORS:20170817-105927636
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80555
Deposited By: Tony Diaz
Deposited On:17 Aug 2017 18:20
Last Modified:15 Nov 2021 19:37

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