Interferometric Computation Beyond Quantum Theory

Interferometric Computation Beyond Quantum Theory
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超越量子理论的干涉计算

DOI:
--
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发表时间:
2016
影响因子:
1.5
通讯作者:
Andrew J. P. Garner
Andrew J. P. Garner
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Andrew J. P. Garner

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对于在算法的某些阶段使用干涉的计算问题,有量子解决方案。这些阶段可以映射成单个粒子通过多臂干涉仪的物理设置。最近,人们对量子理论以外的理论产生了基础兴趣。在这里,我们在多臂干涉仪的背景下提出了一个广义的计算公式,并探讨了理论如何与量子理论不同,并且在这种设置中仍然执行分布式计算。我们将看到四元量子理论证明了一个合适的候选者,而盒子世界则不是。我们还发现,Spekkens首先提出的经典隐变量模型(Phys Rev a 75(3): 32100, 2007)也可以用于这种类型的计算,因为对隐变量施加了认知限制。
There are quantum solutions for computational problems that make use of interference at some stage in the algorithm. These stages can be mapped into the physical setting of a single particle travelling through a many-armed interferometer. There has been recent foundational interest in theories beyond quantum theory. Here, we present a generalized formulation of computation in the context of a many-armed interferometer, and explore how theories can differ from quantum theory and still perform distributed calculations in this set-up. We shall see that quaternionic quantum theory proves a suitable candidate, whereas box-world does not. We also find that a classical hidden variable model first presented by Spekkens (Phys Rev A 75(3): 32100, 2007) can also be used for this type of computation due to the epistemic restriction placed on the hidden variable.
一般物理理论中证明和建议的力量的界限
DOI: 10.48550/arxiv.1510.04702
发表时间: 2015
期刊: --
影响因子: --
作者:
Lee C
通讯作者: Lee C
DOI: 10.1103/physreva.87.052131
发表时间: 2013-05-23
期刊: PHYSICAL REVIEW A
影响因子: 2.9
作者:
Janotta, Peter;Lal, Raymond
通讯作者: Lal, Raymond
DOI: 10.1088/1367-2630/17/8/083001
发表时间: 2015-08-03
影响因子: 3.3
作者:
Lee, Ciaran M.;Barrett, Jonathan
通讯作者: Barrett, Jonathan