Two Theorems on Calculating the Relative Entropy of Entanglement
WU Sheng-Jun1, WU Qiang2, ZHANG Yong-De1
1Laboratory of Quantum Communication and Quantum
Computation and Department of Modern Physics, University of Science and Technology of China, Hefei 230027 2Department of Astronomy and Applied Physics, University of Science and Technology of China, Hefei 230026
Two Theorems on Calculating the Relative Entropy of Entanglement
WU Sheng-Jun1;WU Qiang2;ZHANG Yong-De1
1Laboratory of Quantum Communication and Quantum
Computation and Department of Modern Physics, University of Science and Technology of China, Hefei 230027 2Department of Astronomy and Applied Physics, University of Science and Technology of China, Hefei 230026
Abstract： We present two theorems on calculating the relative entropy of entanglement. Theorem 1 is an extension of Vedral and Plenio's theorem (Phys. Rev. A 57 (1998) 1619) for pure states, which is useful for calculating the relative entropy of entanglement for all pure states as well as for a class of mixed states. Theorem 2 gives the relative entropy of entanglement for any bipartite state whose tripartite purification has two separable reduced bipartite states.
WU Sheng-Jun;WU Qiang;ZHANG Yong-De. Two Theorems on Calculating the Relative Entropy of Entanglement[J]. 中国物理快报, 2001, 18(2): 160-162.
WU Sheng-Jun, WU Qiang, ZHANG Yong-De. Two Theorems on Calculating the Relative Entropy of Entanglement. Chin. Phys. Lett., 2001, 18(2): 160-162.
2001, Vol. 18 
