State exchange with quantum side information

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

Abstract

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.

Citation

Lee, Y., Takagi, R., Yamasaki, H., Adesso, G., & Lee, S. (2019). State exchange with quantum side information. Physical Review Letters, 122(1), Article 010502. https://doi.org/10.1103/physrevlett.122.010502

• 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
• DOI: https://doi.org/10.1103/physrevlett.122.010502
• Keywords: General Physics and Astronomy
• Public URL: https://nottingham-repository.worktribe.com/output/1461557
• Publisher URL: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.010502