Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/137416
Title: One-shot entanglement distillation beyond local operations and classical communication
Authors: Regula, Bartosz
Fang, Kun
Wang, Xin
Gu, Mile
Keywords: Science::Physics
Issue Date: 2019
Source: Regula, 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/ab4732
Journal: New Journal of Physics
Abstract: We 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.
URI: https://hdl.handle.net/10356/137416
ISSN: 1367-2630
DOI: 10.1088/1367-2630/ab4732
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.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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