Families of pure PEPS with efficiently simulatable local hidden variable models for most measurements
Families of pure PEPS with efficiently simulatable local hidden variable models for most measurements
复制标题
纯 PEPS 系列，具有适用于大多数测量的可有效模拟的局部隐变量模型
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
S. Virmani
中科院分区：
文献类型：
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作者：
H. Anwar;Sania Jevtic;Oliver Rudolph;S. Virmani
量子信息论中的一个重要问题是理解是什么导致纠缠量子系统是非局域的或难以有效地模拟。在这项工作中，我们考虑了这样一种情况，在这种情况下，各方可以访问他们粒子上的一组有限的测量结果，并构造出对于这些测量结果本质上是经典的纠缠量子态。特别是，给定足够大的Hilbert空间上的任何一组局域测量，其对偶严格包含(即包含纯态的开放邻域)，我们使用PEPS形式和广义概率理论的思想来构造具有(A)局域隐变量模型和(B)可以有效地经典模拟的纯多方纠缠态。我们认为，我们构造的例子不能用以前的技术有效地进行经典模拟。在没有测量限制的情况下，我们构造的态是非定域的，并且在一些原理证明的情况下，对于基于测量的量子计算是通用的。
An important problem in quantum information theory is to understand what makes entangled quantum systems non-local or hard to simulate efficiently. In this work we consider situations in which various parties have access to a restricted set of measurements on their particles, and construct entangled quantum states that are essentially classical for those measurements. In particular, given any set of local measurements on a large enough Hilbert space whose dual strictly contains (i.e. contains an open neighborhood of) a pure state, we use the PEPS formalism and ideas from generalized probabilistic theories to construct pure multiparty entangled states that have (a) local hidden variable models, and (b) can be efficiently simulated classically. We believe that the examples we construct cannot be efficiently classically simulated using previous techniques. Without the restriction on the measurements, the states that we construct are non-local, and in some proof-of-principle cases are universal for measurement based quantum computation.