Increasing entanglement monotones by separable operations.

Phys Rev Lett

Center for Quantum Information and Quantum Control (CQIQC), Department of Physics, University of Toronto, Toronto, Ontario, M5S 3G4, Canada.

Published: June 2012

AI Article Synopsis

  • Quantum entanglement is closely tied to local quantum operations and classical communication (LOCC), with separable operations (SEP) used to approximate LOCC but a clear distinction between the two remaining unclear.
  • The investigation findings reveal a significant 12.5% gap between SEP and LOCC in specific tripartite to bipartite entanglement conversions, marking the first notable difference documented in this area.
  • The research introduces a computable entanglement monotone that possesses operational significance and shows that converging sequences of LOCC protocols might not be feasible under LOCC in the limit.

Article Abstract

Quantum entanglement is fundamentally related to the operational setting of local quantum operations and classical communication (LOCC). A more general class of operations known as separable operations (SEP) is often employed to approximate LOCC, but the exact difference between LOCC and SEP is unknown. In this letter, we compare the two classes in performing particular tripartite to bipartite entanglement conversions and report a gap as large as 12.5% between SEP and LOCC, which is the first known appreciable gap between the classes. Our results rely on constructing a computable entanglement monotone with a clear operational meaning that, unlike all other such monotones previously studied, is not monotonic under SEP. Finally, we prove the curious fact that convergent sequences of LOCC protocols need not be LOCC feasible in the limit.

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Source
http://dx.doi.org/10.1103/PhysRevLett.108.240504DOI Listing

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