2002/09/30 by Ping‐Xing Chen, Ping Xing Chen, Cheng-Zu Li +1 · 1 citation
Computer Science · Mathematics · Neuroscience · Physics and Astronomy · #Computer science #Geometry #Mathematics #Neural dynamics and brain function #Orthogonality #Quantum Information and Cryptography #quant-ph #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreva.68.062107
published as Phys.Rev.A 68,062107 (2003) · Revision to appear PRA
arxiv created 2003/11/14 · openalex publication_date 2003/12/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the relation between the orthogonality and the distinguishability of a set of arbitrary states (including multipartite states). It is shown that if a set of arbitrary states can be distinguished by local operations and classical communication (LOCC), each of the states can be written as a linear combination of product vectors such that all product vectors of one of the states are orthogonal to the other states. With this result we then prove a simple necessary condition for LOCC distinguishability of a class of orthogonal states. These conclusions may be useful in discussing the distinguishability of orthogonal quantum states further, understanding the essence of nonlocality and discussing the distillation of entanglement.