Testing for a pure state with local operations and classical communication

Abstract

We examine the problem of using local operations and classical communication (LOCC) to distinguish a known pure state from an unknown (possibly mixed) state, bounding the error probability from above and below. We study the asymptotic rate of detecting multiple copies of the pure state and show that, if the overlap of the two states is great enough, then they can be distinguished asymptotically as well with LOCC as with global measurements; otherwise, the maximal Schmidt coefficient of the pure state is sufficient to determine the asymptotic error rate.

11 pages, 2 figures. Published version with small revisions and expanded title.

References in corpus (2)

• The Quantum Chernoff Bound
• The Chernoff lower bound for symmetric quantum hypothesis testing

Cited by in corpus (9)

• Strong Quantum Nonlocality without Entanglement
• Three maximally entangled states can require two-way LOCC for local discrimination
• Tight bounds on the distinguishability of quantum states under separable measurements
• Dense Coding with Locality Restriction for Decoder: Quantum Encoders vs. Super-Quantum Encoders
• Asymptotic local hypothesis testing between a pure bipartite state and the completely mixed state
• Tight asymptotic bounds on local hypothesis testing between a pure bipartite state and the white noise state
• Discrimination of quantum states under locality constraints in the many-copy setting
• Local hypothesis testing between a pure bipartite state and the white noise state
• Locally-Measured Rényi Divergences