More nonlocality with less purity

Abstract

Quantum information is nonlocal in the sense that local measurements on a composite quantum system, prepared in one of many mutually orthogonal states, may not reveal in which state the system was prepared. It is shown that in the many copy limit this kind of nonlocality is fundamentally different for pure and mixed quantum states. In particular, orthogonal mixed states may not be distinguishable by local operations and classical communication (LOCC), no matter how many copies are supplied, whereas any set of N orthogonal pure states can be perfectly discriminated with m copies, where, m<N. Thus mixed quantum states can exhibit a new kind of nonlocality absent in pure states. We also argue that a set of orthogonal quantum states may be said to be maximally indistinguishable iff the set is not conclusively locally distinguishable with multiple copies.

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References in corpus (5)

• Distinguishing Arbitrary Multipartite Basis Unambiguously Using Local Operations and Classical Communication
• Distinguishability of Quantum States by Separable Operations
• Local distinguishability with preservation of entanglement
• Local discrimination of mixed states
• Local Distinguishability of Any Three Quantum States

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• Quantum Coherence and Distinguishability as Complementary Resources: A Resource-Theoretic Perspective from Wave-Particle Duality
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• Strong quantum nonlocality for multipartite entangled states
• Conditions for local transformations between sets of quantum states
• Conclusive Local State Marking: More Nonlocality With No Entanglement
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