Local indistinguishability of orthogonal pure states by using a bound on distillable entanglement

作     者：Sibasish Ghosh Guruprasad Kar Anirban Roy Debasis Sarkar Aditi Sen(De) Ujjwal Sen 

作者机构：Electrical Engineering Department University of California Los Angeles Los Angeles California 90095 Physics and Applied Mathematics Unit Indian Statistical Institute 203 BT Road Kolkata 700035 India Department of Applied Mathematics University of Calcutta 92 APC Road Kolkata 700009 India Institute of Theoretical Physics and Astrophysics University of Gdańsk 80-952 Gdańsk Poland Institute for Scientific Interchange (ISI) Foundation Viale Settimio Severo 65 I-10133 Torino Italy 

出 版 物：《Physical Review A》 (物理学评论A辑：原子、分子和光学物理学)

年 卷 期：2002年第65卷第6期

页      面：062307-062307页

核心收录：

学科分类：070207[理学-光学] 07[理学] 08[工学] 0803[工学-光学工程] 0702[理学-物理学] 

主　　题：Electron energy levels 

摘      要：We show that the four states a|00〉+b|11〉, b¯|00〉−ā|11〉, c|01〉+d|10〉, and d¯|01〉−c¯|10〉 cannot be discriminated with certainty if only local operations and classical communication (LOCC) are allowed and if only a single copy is provided, except in the case when they are simply |00〉, |11〉, |01〉, and |10〉 (in which case they are trivially distinguishable with LOCC). We go on to show that there exists a continuous range of values of a, b, c, and d such that even three states among the above four are not locally distinguishable, if only a single copy is provided. The proof follows from the fact that logarithmic negativity is an upper bound of distillable entanglement.