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One-shot quantum state exchange

Lee, Yonghae; Yamasaki, Hayata; Adesso, Gerardo; Lee, Soojoon

Authors

Yonghae Lee

Hayata Yamasaki

Soojoon Lee



Abstract

© 2019 American Physical Society. Quantum state exchange is a quantum communication task in which two users exchange their respective quantum information in the asymptotic setting. In this paper, we consider a one-shot version of the quantum state exchange task, in which the users hold a single copy of the initial state, and they exchange their parts of the initial state by means of entanglement-assisted local operations and classical communication. We first derive lower bounds on the least amount of entanglement required for carrying out this task, and provide conditions on the initial state such that the protocol succeeds with zero entanglement cost. Based on these results, we study how the users deal with their symmetric information in order to reduce the entanglement cost. Moreover, we show that it is possible for the users to gain extra shared entanglement after this task.

Journal Article Type Article
Publication Date Oct 8, 2019
Journal Physical Review A
Print ISSN 2469-9926
Electronic ISSN 2469-9934
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 100
Issue 4
APA6 Citation Lee, Y., Yamasaki, H., Adesso, G., & Lee, S. (2019). One-shot quantum state exchange. Physical Review A, 100(4), https://doi.org/10.1103/physreva.100.042306
DOI https://doi.org/10.1103/physreva.100.042306
Keywords Entanglement entropy ; Entanglement entropy ; Quantum communication
Publisher URL https://journals.aps.org/pra/abstract/10.1103/PhysRevA.100.042306

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