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评估概率编程语言以模拟量子相关性。

Evaluating probabilistic programming languages for simulating quantum correlations.

机构信息

School of Information Systems, Queensland University of Technology, Brisbane, Queensland, Australia.

Rotman School of Management, University of Toronto, Toronto, Ontario, Canada.

出版信息

PLoS One. 2019 Jan 4;14(1):e0208555. doi: 10.1371/journal.pone.0208555. eCollection 2019.

DOI:10.1371/journal.pone.0208555
PMID:30608937
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6319741/
Abstract

This article explores how probabilistic programming can be used to simulate quantum correlations in an EPR experimental setting. Probabilistic programs are based on standard probability which cannot produce quantum correlations. In order to address this limitation, a hypergraph formalism was programmed which both expresses the measurement contexts of the EPR experimental design as well as associated constraints. Four contemporary open source probabilistic programming frameworks were used to simulate an EPR experiment in order to shed light on their relative effectiveness from both qualitative and quantitative dimensions. We found that all four probabilistic languages successfully simulated quantum correlations. Detailed analysis revealed that no language was clearly superior across all dimensions, however, the comparison does highlight aspects that can be considered when using probabilistic programs to simulate experiments in quantum physics.

摘要

本文探讨了概率编程如何用于模拟 EPR 实验环境中的量子相关性。概率程序基于标准概率,无法产生量子相关性。为了解决这个限制,我们编写了一个超图形式化语言,它既表达了 EPR 实验设计的测量上下文,也表达了相关的约束。我们使用了四个当代开源的概率编程框架来模拟一个 EPR 实验,以便从定性和定量两个维度揭示它们的相对有效性。我们发现,所有四个概率语言都成功地模拟了量子相关性。详细的分析表明,没有一种语言在所有维度上都明显占优,但是,比较确实突出了在使用概率程序模拟量子物理实验时可以考虑的方面。

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本文引用的文献

1
PyMC: a modern, and comprehensive probabilistic programming framework in Python.PyMC:Python 中一个现代且全面的概率编程框架。
PeerJ Comput Sci. 2023 Sep 1;9:e1516. doi: 10.7717/peerj-cs.1516. eCollection 2023.
2
Stan: A Probabilistic Programming Language.斯坦:一种概率编程语言。
J Stat Softw. 2017;76. doi: 10.18637/jss.v076.i01. Epub 2017 Jan 11.
3
Operational Markov Condition for Quantum Processes.量子过程的运算马尔可夫条件。
Phys Rev Lett. 2018 Jan 26;120(4):040405. doi: 10.1103/PhysRevLett.120.040405.
4
Quantum correlations with no causal order.无因果序的量子关联。
Nat Commun. 2012;3:1092. doi: 10.1038/ncomms2076.
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Quantum circuit architecture.量子电路架构。
Phys Rev Lett. 2008 Aug 8;101(6):060401. doi: 10.1103/PhysRevLett.101.060401. Epub 2008 Aug 4.