Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/137416
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dc.contributor.authorRegula, Bartoszen_US
dc.contributor.authorFang, Kunen_US
dc.contributor.authorWang, Xinen_US
dc.contributor.authorGu, Mileen_US
dc.date.accessioned2020-03-24T09:17:38Z-
dc.date.available2020-03-24T09:17:38Z-
dc.date.issued2019-
dc.identifier.citationRegula, B., Fang, K., Wang, X., & Gu, M. (2019). One-shot entanglement distillation beyond local operations and classical communication. New Journal of Physics, 21(10), 103017-. doi:10.1088/1367-2630/ab4732en_US
dc.identifier.issn1367-2630en_US
dc.identifier.urihttps://hdl.handle.net/10356/137416-
dc.description.abstractWe study the task of entanglement distillation in the one-shot setting under different classes of quantum operations which extend the set of local operations and classical communication (LOCC). Establishing a general formalism which allows for a straightforward comparison of their exact achievable performance, we relate the fidelity of distillation under these classes of operations with a family of entanglement monotones and the rates of distillation with a class of smoothed entropic quantities based on the hypothesis testing relative entropy. We then characterise exactly the one-shot distillable entanglement of several classes of quantum states and reveal many simplifications in their manipulation. We show in particular that the ϵ-error one-shot distillable entanglement of any pure state is the same under all sets of operations ranging from one-way LOCC to separability-preserving operations or operations preserving the set of states with positive partial transpose, and can be computed exactly as a quadratically constrained linear program. We establish similar operational equivalences in the distillation of isotropic and maximally correlated states, reducing the computation of the relevant quantities to linear or semidefinite programs. We also show that all considered sets of operations achieve the same performance in environment-assisted entanglement distillation from any state.en_US
dc.description.sponsorshipNRF (Natl Research Foundation, S’pore)en_US
dc.language.isoenen_US
dc.relation.ispartofNew Journal of Physicsen_US
dc.rights© 2019 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft. Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.en_US
dc.subjectScience::Physicsen_US
dc.titleOne-shot entanglement distillation beyond local operations and classical communicationen_US
dc.typeJournal Articleen
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen_US
dc.contributor.organizationComplexity Instituteen_US
dc.identifier.doi10.1088/1367-2630/ab4732-
dc.description.versionPublished versionen_US
dc.identifier.scopus2-s2.0-85075782171-
dc.identifier.issue10en_US
dc.identifier.volume21en_US
dc.subject.keywordsEntanglement Distillationen_US
dc.subject.keywordsEntanglement Measuresen_US
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