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arXiv 2606.02416quant-ph
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扩展信息因果原理对非局域性和随机访问码的界

Bounds on Nonlocality and Random Access Codes from Extended Information Causality Principle

Technical University of Darmstadt(达姆施塔特工业大学)

Prabhav Jain, Nikolai Miklin, Mariami Gachechiladze

AI总结:

通过扩展信息因果原理,推导出更紧的量子贝尔不等式,改进Collins-Gisin族贝尔不等式的解析界,并证明扩展原理在纠缠辅助随机访问码中不优于原始原理。

摘要:

信息因果原理被引入作为约束非局域关联集的物理原理。在最近的工作中,我们提出了信息因果原理的扩展,允许Alice的输入之间存在关联。该扩展原理比原始表述产生更紧的约束,并在某些贝尔场景中恢复了部分量子边界。在本工作中,我们进一步研究扩展信息因果原理的含义,并将其应用于二元输入输出之外的场景。我们推导出一族量子贝尔不等式,加强了先前已知的量子关联约束。利用这些不等式,我们获得了Collins-Gisin族贝尔不等式的改进解析界。我们还应用信息因果原理于纠缠辅助随机访问码,并推导出获胜概率的新的与理论无关的解析界。对于后一项任务,我们证明,尽管扩展原理通常更强,但它并未改进从原始信息因果原理获得的界。这表明现有的信息因果界对于此类随机访问码是最优的。

英文摘要:

Information Causality was introduced as a physical principle for constraining the set of nonlocal correlations. In recent work, we proposed an extension of Information Causality that allows correlations among Alice's inputs. This extended principle yields tighter constraints than the original formulation and recovers part of the quantum boundary in certain Bell scenarios. In this work, we further investigate the implications of extended Information Causality and apply it to scenarios beyond binary inputs and outputs. We derive a family of quantum Bell inequalities that strengthen previously known constraints on quantum correlations. Using these inequalities, we obtain an improved analytical bound for the Collins-Gisin family of Bell inequalities. We also apply Information Causality to entanglement-assisted random access codes and derive new theory-independent analytical bounds on the winning probability. For this latter task, we prove that, despite being stronger in general, the extended principle does not improve the bounds obtained from the original Information Causality principle. This suggests that the existing Information Causality bounds are optimal for this class of random access codes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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