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arXiv 2602.16280quant-ph
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体视非本地纠缠

Tomographically-nonlocal entanglement

Perimeter Institute for Theoretical Physics(Perimeter理论物理研究所);International Centre for Theory of Quantum Technologies, Uniwersytet Gdański(格但斯克大学量子技术理论国际中心);Theoretical Sciences Visiting Program, Okinawa Institute of Science and Technology Graduate University(冲绳科学技术大学院大学理论科学访问项目);Basic Research Community for Physics e.V.(基础物理研究社区协会)

Roberto D. Baldijão, Marco Erba, David Schmid, John H. Selby, Ana Belén Sainz

AI总结:

本文研究了体视非本地理论中纠缠的两种形式,揭示了体视局部性失败导致的纠缠特性及其实用性差异。

摘要:

纠缠是量子理论的核心和微妙特征,其结构和操作行为在施加额外物理约束(如对称性或超选择规则)时可能会发生剧烈变化。这些约束可以导致引人注目且反直觉的现象,包括本地广播纠缠态和纠缠独占性的失败。这些效应自然出现在体视非本地理论(如真实量子理论、涡旋世界或费米子量子理论)中,其中复合系统具有整体自由度,这些自由度无法通过本地测量访问。在本工作中,我们研究此类理论中的纠缠,基于广义概率理论框架。我们证明,体视局部性失败导致两种质上不同的纠缠形式,我们称之为体视局部纠缠和体视非局部纠缠。我们分析了这一区别的操作后果,证明体视非局部纠缠对贝尔非局部性、引导和传送无用,但对密集编码和完美安全数据隐藏足够。这一框架澄清了当体视局部性失败时出现的若干先前令人困惑的纠缠特征的起源,即使在量子理论中考虑费米子或基本超选择规则时也可能发生。

英文摘要:

Entanglement is a central and subtle feature of quantum theory, whose structure and operational behavior can change dramatically when additional physical constraints, such as symmetries or superselection rules, are imposed. Such constraints can give rise to striking and counter-intuitive phenomena, including local broadcasting of entangled states and failures of entanglement monogamy. These effects naturally arise in tomographically nonlocal theories (like real quantum theory, twirled worlds, or fermionic quantum theory), where composite systems possess holistic degrees of freedom that are inaccessible to local measurements. In this work, we study entanglement in such theories within the framework of generalized probabilistic theories. We show that the failure of tomographic locality leads to two qualitatively distinct forms of entanglement, which we term $\textit{tomographically-local}$ entanglement and $\textit{tomographically-nonlocal}$ entanglement. We analyze the operational consequences of this distinction, proving that tomographically-nonlocal entanglement is useless for Bell nonlocality, steering, and teleportation, but sufficient for dense coding and perfectly secure data hiding. This framework clarifies the origin of several previously puzzling features of entanglement that arise when tomographic locality fails, as can happen even in quantum theory when one considers fermions or fundamental superselection rules.

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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