Local hidden variable models for entangled quantum States using finite shared randomness.
Local hidden variable models for entangled quantum States using finite shared randomness.
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DOI:
10.1103/physrevlett.114.120401
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发表时间:
2014-12
影响因子:
8.6
通讯作者:
Joseph Bowles;Flavien Hirsch;M. T. Quintino;N. Brunner
中科院分区:
文献类型:
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作者:
Joseph Bowles;Flavien Hirsch;M. T. Quintino;N. Brunner
The statistics of local measurements performed on certain entangled states can be reproduced using a local hidden variable (LHV) model. While all known models make use of an infinite amount of shared randomness, we show that essentially all entangled states admitting a LHV model can be simulated with finite shared randomness. Our most economical model simulates noisy two-qubit Werner states using only log_{2}(12)≃3.58 bits of shared randomness. We also discuss the case of positive operator valued measures, and the simulation of nonlocal states with finite shared randomness and finite communication. Our work represents a first step towards quantifying the cost of LHV models for entangled quantum states.