Nonlocal Entanglement Transformations Achievable by Separable Operations

Abstract

For manipulations of multipartite quantum systems, it was well known that all local operations assisted by classical communication (LOCC) constitute a proper subset of the class of separable operations. Recently, Gheorghiu and Griffiths found that LOCC and general separable operations are equally powerful for transformations between bipartite pure states. In this letter we extend this comparison to mixed states and show that in general separable operations are strictly stronger than LOCC when transforming a mixed state to a pure entangled state. A remarkable consequence of our finding is the existence of entanglement monotone which may increase under separable operations.

v2 has rephrased Theorem 1 and corrected Kraus operators in Theorem 2. Additional comments are welcomed

References in corpus (15)

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• Entanglement monotones
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• Minimal conditions for local pure-state entanglement manipulation
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• Local indistinguishability and LOCC monotones
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• Distinguishability of Quantum States by Separable Operations
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• Entanglement of a bipartite channel
• Necessary and sufficient conditions for local manipulation of multipartite pure quantum states
• Noisy entanglement evolution for graph states
• Irreversibility of Asymptotic Entanglement Manipulation Under Quantum Operations Completely Preserving Positivity of Partial Transpose
• The maximally entangled set of 4-qubit states
• Amortization does not enhance the max-Rains information of a quantum channel
• Equivalence of qubit-environment entanglement and discord generation via pure dephasing interactions and the consequences thereof
• Distributed quantum inner product estimation
• The MES of tripartite qutrit states and pure state separable transformations which are not possible via LOCC
• Local quantum protocols for separable measurements with many parties
• Entanglement-assisted classical communication can simulate classical communication without causal order
• Entangled state distillation from single copy mixed states beyond LOCC
• One-Shot Static Entanglement Cost of Bipartite Quantum Channels
• Optimal supplier of single-error-type entanglement via coherent-state transmission
• Extended necessary condition for local operations and classical communication: Tight bound for all measurements
• How Quantum is the Classical World?
• Few-body entanglement manipulation
• Insufficiency of Pure-State Ensembles in Characterizing Transformations of Entangled States under LOCC
• Nonexistence of maximally entangled mixed states for a fixed spectrum