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State exchange with quantum side information

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

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Yonghae Lee

Ryuji Takagi

Hayata Yamasaki

Soojoon Lee


We consider a quantum communication task between two users Alice and Bob, in which Alice and Bob exchange their respective quantum information by means of local operations and classical communication assisted by shared entanglement. Here, we assume that Alice and Bob may have quantum side information, not transferred, and classical communication is free. In this work, we derive general upper and lower bounds for the least amount of entanglement which is necessary to perfectly perform this task, called the state exchange with quantum side information. Moreover, we show that the optimal entanglement cost can be negative when Alice and Bob make use of their quantum side information. We finally provide conditions on the initial state for the state exchange with quantum side information which give the exact optimal entanglement cost.


Lee, Y., Takagi, R., Yamasaki, H., Adesso, G., & Lee, S. (2019). State exchange with quantum side information. Physical Review Letters, 122(1), Article 010502.

Journal Article Type Article
Acceptance Date Dec 13, 2018
Online Publication Date Jan 9, 2019
Publication Date Jan 11, 2019
Deposit Date Jan 10, 2019
Publicly Available Date Jan 10, 2019
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 122
Issue 1
Article Number 010502
Keywords General Physics and Astronomy
Public URL
Publisher URL


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