Local quantum transformations requiring infinite rounds of classical communication

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In this Letter, we investigate the number of measurement and communication rounds needed to implement certain tasks by local quantum operations and classical communication (LOCC), a relatively unexplored topic. To demonstrate the possible strong dependence on the round number, we consider the problem of converting three-qubit entanglement into two-qubit form, specifically in the random distillation setting of. We find that the number of LOCC rounds needed for a transformation can depend on the amount of entanglement distilled. In fact, for a wide range of transformations, the required number of rounds is infinite (unbounded). This represents the first concrete example of a task needing an infinite number of rounds to implement.

Original languageEnglish (US)
Article number190502
JournalPhysical review letters
Issue number19
StatePublished - Nov 4 2011
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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