State Exchange with Quantum Side Information

• Main Authors: Lee, Yonghae (Author), Takagi, Ryuji (Contributor), Yamasaki, Hayata (Author), Adesso, Gerardo (Author), Lee, Soojoon (Author)
• Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics (Contributor), Massachusetts Institute of Technology. Department of Physics (Contributor)
• Format: Article
• Language: English
• Published: American Physical Society, 2019-01-24T18:36:35Z.
• Subjects: Article
• Online Access: Get fulltext

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.
National Science Foundation (U.S.)
United States. Army Research Office
United States. Intelligence Advanced Research Projects Activity
Takenaka Scholarship