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• W2519355429 abstract "We consider implementations of a bipartite unitary on many pairs of unknown input states by local operation and classical communication assisted by shared entanglement. We investigate to what extent the entanglement cost and the classical communication cost can be compressed by allowing nonzero but vanishing error in the asymptotic limit of infinite pairs. We show that a lower bound on the minimal entanglement cost, the forward classical communication cost, and the backward classical communication cost per pair is given by the Schmidt strength of the unitary. We also prove that an upper bound on these three kinds of the cost is given by the amount of randomness that is required to partially decouple a tripartite quantum state associated with the unitary. In the proof, we construct a protocol in which quantum state merging is used. For generalized Clifford operators, we show that the lower bound and the upper bound coincide. We then apply our result to the problem of distributed compression of tripartite quantum states, and derive a lower and an upper bound on the optimal quantum communication rate required therein." @default.
• W2519355429 created "2016-09-23" @default.
• W2519355429 creator A5012880079 @default.
• W2519355429 creator A5089264671 @default.
• W2519355429 date "2013-10-15" @default.
• W2519355429 modified "2023-09-27" @default.
• W2519355429 title "Asymptotic Compressibility of Entanglement and Classical Communication in Distributed Quantum Computation" @default.
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• W2519355429 hasPublicationYear "2013" @default.
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