General and Optimal Scheme for Local Conversion of Pure States
JIN Rui-Bo1,2, CHEN Li-Bing2, WANG Fa-Qiang1, LU Yi-Qun1
1Laboratory of Photonic Information Technology, School for Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou 5100062Department of Photoelectron and Physics, Foshan University, Foshan 528000
General and Optimal Scheme for Local Conversion of Pure States
JIN Rui-Bo1,2;CHEN Li-Bing2;WANG Fa-Qiang1;LU Yi-Qun1
1Laboratory of Photonic Information Technology, School for Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou 5100062Department of Photoelectron and Physics, Foshan University, Foshan 528000
摘要We present general and optimal schemes for local conversion of pure states, via one specific example. First, we give the general solution of the doubly stochastic matrix. Then, we find the general and optimal positive-operator-valued measure (POVM) to realize the local conversion of pure states. Lastly, the physical realization of the POVM is discussed. We show that our scheme has a more general and better effect than other schemes.
Abstract:We present general and optimal schemes for local conversion of pure states, via one specific example. First, we give the general solution of the doubly stochastic matrix. Then, we find the general and optimal positive-operator-valued measure (POVM) to realize the local conversion of pure states. Lastly, the physical realization of the POVM is discussed. We show that our scheme has a more general and better effect than other schemes.
JIN Rui-Bo;CHEN Li-Bing;WANG Fa-Qiang;LU Yi-Qun. General and Optimal Scheme for Local Conversion of Pure States[J]. 中国物理快报, 2008, 25(6): 1961-1963.
JIN Rui-Bo, CHEN Li-Bing, WANG Fa-Qiang, LU Yi-Qun. General and Optimal Scheme for Local Conversion of Pure States. Chin. Phys. Lett., 2008, 25(6): 1961-1963.
[1] Bennett C H, Bernstein H J, Popescu S and Schumacher B1996 Phys. Rev. A 53 2046 [2] Bennett C H et al 1996 Phys. Rev. Lett. 76 722 [3] Bennett C H, DiVincenzo D P, Smolin J A and Wootters W K1996 Phys. Rev. A 54 3824 [4] Nielsen M A 1999 Phys. Rev. Lett. 83 436 [5] Hardy L 1999 Phys. Rev. A 60 1912 [6] Jensen J G and Schack R 2001 Phys. Rev. A 63062303 [7] Bhatia R 1997 Matrix Analysis of Graduate Texts inMathematics (New York: Springer) vol 169 [8] Preskill J 1998 Lecture Notes for Physics: QuantumInformation and Computation (Pasadena, CA: California Institute ofTechnology)