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
Joseph Bowles;Flavien Hirsch;M. T. Quintino;N. Brunner
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Joseph Bowles;Flavien Hirsch;M. T. Quintino;N. Brunner

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在某些纠缠态上进行的局域测量的统计可以使用局域隐变量(LHV)模型来再现。虽然所有已知的模型利用了无限数量的共享随机性,我们表明,基本上所有的纠缠态承认LHV模型可以模拟有限的共享随机性。我们最经济的模型只使用log_{2}(12)<$3.58比特的共享随机性来模拟有噪声的两量子比特Werner态。我们还讨论了正算子值测度的情形,以及有限共享随机和有限通信的非局域态的模拟。我们的工作是量化纠缠量子态LHV模型成本的第一步。
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.