期刊
IEEE TRANSACTIONS ON INFORMATION THEORY
卷 55, 期 11, 页码 5339-5351出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2009.2030494
关键词
Quantum information; side information; source coding
资金
- National Science Foundation (NSF) [PHY-0456720, CCF-0524811, CCF-0545845]
- CNLS
- U.S. Department of Energy
Consider many instances of an arbitrary quadripartite pure state of four quantum systems ABCD. Alice holds the AC part of each state, Bob holds B, while R represents all other parties correlated with ABC. Alice is required to redistribute the C systems to Bob while asymptotically preserving the overall purity. We prove that this is possible using Q qubits of communication and E ebits of shared entanglement between Alice and Bob, provided that Q >= 1/2 I(C; D|B) and Q + E >= H (C|B), proving the optimality of the Luo-Devetak outer bound. The optimal qubit rate provides the first known operational interpretation of quantum conditional mutual information. We also show how our protocol leads to a fully operational proof of strong subaddivity and uncover a general organizing principle, in analogy to thermodynamics, that underlies the optimal rates.
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