Distinguishability and Indistinguishability by Local Operations and Classical Communication

2003/11/06 by Heng Fan · 2 citations
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum optics and atomic interactions #quant-ph

paper · pdf · doi:10.1103/physrevlett.92.177905

published as Phys.Rev.Lett.92, 177905(2004). · 5 pages

arxiv created 2003/11/06 · openalex publication_date 2004/04/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is well known that orthogonal quantum states can be distinguished perfectly. However, if we assume that these orthogonal quantum states are shared by spatially separated parties, the distinguishability of these shared quantum states may be completely different. We show that a set of linearly independent quantum states (U_m,n\ensuremath\bigotimesI)\ensuremathρ^AB(U_m,n^\ifmmode†\else\textdagger\fi\ensuremath\bigotimesI)_m,n=0^d\ensuremath-1, where U_m,n are generalized Pauli matrices, cannot be discriminated deterministically or probabilistically by local operations and classical communication. On the other hand, any l maximally entangled states from this set are locally distinguishable if l(l\ensuremath-1)\ensuremath≤2d. The explicit projecting measurements are obtained to locally discriminate these states. As an example, we show that four Werner states are locally indistinguishable.

Citations

• On local indistinguishability of orthogonal pure states by using a bound on distillable entanglement

Cited by

• Bounds on Multipartite Entangled Orthogonal State Discrimination Using Local Operations and Classical Communication
• Four Locally Indistinguishable Ququad-Ququad Orthogonal Maximally Entangled States