Local quantum transformations requiring infinite rounds of classical communication

Local quantum transformations requiring infinite rounds of classical communication. Chitambar, E. Physical Review Letters, 107(19):1-5, 2011.
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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. © 2011 American Physical Society.

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 title = {Local quantum transformations requiring infinite rounds of classical communication},
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 year = {2011},
 pages = {1-5},
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 abstract = {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. © 2011 American Physical Society.},
 bibtype = {article},
 author = {Chitambar, Eric},
 doi = {10.1103/PhysRevLett.107.190502},
 journal = {Physical Review Letters},
 number = {19}
}

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