Devising local protocols for multipartite quantum measurements

Abstract

We provide a method of designing protocols for implementing multipartite quantum measurements when the parties are restricted to local operations and classical communication (LOCC). For each finite integer number of rounds, $r$, the method succeeds in every case for which an $r$-round protocol exists for the measurement under consideration, and failure of the method has the immediate implication that the measurement under consideration cannot be implemented by LOCC no matter how many rounds of communication are allowed, including when the number of rounds is allowed to be infinite. It turns out that this method shows---often with relative ease---the impossibility by LOCC for a number of examples, including cases where this was not previously known, as well as the example that first demonstrated what has famously become known as nonlocality without entanglement.

To appear in Physical Review A

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• Multipartite Nonlocality without Entanglement in Many Dimensions
• Local distinguishability with preservation of entanglement
• Random bipartite entanglement from W and W-like states
• A class of unambiguous state discrimination problems achievable by separable measurements but impossible by local operations and classical communication
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Cited by in corpus (3)

• Entangled pure state transformations via local operations assisted by finitely many rounds of classical communication
• General approach to quantum channel impossibility by local operations and classical communication
• Local approximation of multipartite quantum measurements