Local distinguishability of quantum states in infinite dimensional systems

Abstract

We investigate local distinguishability of quantum states by use of the convex analysis about joint numerical range of operators on a Hilbert space. We show that any two orthogonal pure states are distinguishable by local operations and classical communications, even for infinite dimensional systems. An estimate of the local discrimination probability is also given for some family of more than two pure states.

References in corpus (4)

• Distinguishability and indistinguishability by LOCC
• Distinguishing Bipartitite Orthogonal States using LOCC: Best and Worst Cases
• Finding a maximally correlated state - Simultaneous Schmidt decomposition of bipartite pure states
• Local copying of orthogonal entangled quantum states

Cited by in corpus (6)

• Distinguishing Arbitrary Multipartite Basis Unambiguously Using Local Operations and Classical Communication
• Distinguishability of Quantum States by Separable Operations
• Entanglement Cost of Nonlocal Measurements
• Local distinguishability of orthogonal 2\otimes3 pure states
• Local hypothesis testing between a pure bipartite state and the white noise state
• Optimal discrimination of quantum states on a two-dimensional Hilbert space by local operations and classical communication