所有因果可分离的量子过程都是具有因果顺序经典控制的量子电路
All causally separable quantum processes are quantum circuits with classical control of causal order
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中文总结 AI 辅助
本文通过相干隐形传态技术证明因果可分性充分条件亦为必要条件，完整刻画多部分因果可分性，并表明所有因果可分离过程可实现为经典控制因果顺序的量子电路。
中文摘要 AI 辅助
因果（非）可分性的概念描述了执行局部量子操作的各方之间的因果顺序是明确定义的还是不确定的。一般多部分情形下的因果（非）可分性在[Oreshkov and Giarmatzi, New J. Phys. 18, 093020 (2016); Wechs, Abbott, and Branciard, New J. Phys. 21, 013027 (2019)]中被引入和研究。我们解决了这些早期工作中的开放问题，通过使用一种新颖的“相干隐形传态技术”证明，[Wechs, Abbott, and Branciard, New J. Phys. 21, 013027 (2019)]中确定的因果可分性的充分条件也是必要的，从而提供了多部分因果可分性的完整刻画。这一结果的一个推论是，所有因果可分离的过程都可以实现为广义量子电路，其中操作之间的顺序由经典控制，称为“具有因果顺序经典控制的量子电路”。
英文摘要
The concept of causal (non)separability describes whether the causal order between parties that perform local quantum operations is well-defined or indefinite. Causal (non)separability in the general multipartite setting was introduced and studied in [Oreshkov and Giarmatzi, New J. Phys. 18, 093020 (2016); Wechs, Abbott, and Branciard, New J. Phys. 21, 013027 (2019)]. We resolve an open problem from these earlier works by showing -- using a novel "coherent teleportation technique" -- that a sufficient condition for causal separability identified in [Wechs, Abbott, and Branciard, New J. Phys. 21, 013027 (2019)] is also necessary, and thus provides a complete characterisation of multipartite causal separability. A consequence of this result is that all causally separable processes admit a realisation as generalised quantum circuits in which the order between the operations is classically controlled, known as "quantum circuits with classical control of causal order".
发表机构
- Centre for Quantum Information and Communication (QuIC), École Polytechnique de Bruxelles, C.P. 165, Université libre de Bruxelles（布鲁塞尔自由大学）
- Univ. Grenoble Alpes, Inria（格勒诺布尔阿尔卑斯大学）
- Univ. Grenoble Alpes, CNRS, Grenoble INP, Institut Néel（格勒诺布尔阿尔卑斯大学）
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