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arXiv 2109.04446quant-phmath-phmath.MP
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纠缠和叠加是任何物理理论中等价的概念

Entanglement and superposition are equivalent concepts in any physical theory

Guillaume Aubrun, Ludovico Lami, Carlos Palazuelos, Martin Plávala

摘要:

我们证明了任何两个一般概率理论(GPTs)是纠缠的,在这个意义上说,他们的复合表现出纠缠态或纠缠测量,当且仅当他们都是非经典的,这意味着没有状态空间是一个单纯形。这建立了(局部)叠加原理和全局纠缠存在的普遍等价性,以完全理论独立的方式有效。作为我们的技术的应用程序,我们表明,所有非经典的GPT表现出强烈的形式的状态和测量的不兼容性,并使用此来构建一个版本的BB84协议,在任何非经典的GPT。

英文摘要:

We prove that any two general probabilistic theories (GPTs) are entangleable, in the sense that their composite exhibits either entangled states or entangled measurements, if and only if they are both non-classical, meaning that neither of the state spaces is a simplex. This establishes the universal equivalence of the (local) superposition principle and the existence of global entanglement, valid in a fully theory-independent way. As an application of our techniques, we show that all non-classical GPTs exhibit a strong form of incompatibility of states and measurements, and use this to construct a version of the BB84 protocol that works in any non-classical GPT.

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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