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arXiv 2412.18331quant-ph

真正多体纠缠的超激活与不可压缩性

Superactivation and Incompressibility of Genuine Multipartite Entanglement

Lisa T. Weinbrenner, Klára Baksová, Sophia Denker, Simon Morelli, Xiao-Dong Yu, Nicolai Friis, Otfried Gühne

AI总结:

本文基于真正多体纠缠范式,利用对称性与广义多体可蒸馏性建立超激活的系统判据和定量理论,并证明存在无法约化到单拷贝层面的不可压缩纠缠。

摘要:

以纠缠、量子导引或贝尔非定域性形式存在的量子关联是各种信息处理任务的资源,但对它们的详细量化与表征仍然十分复杂。一个反直觉的效应是超激活现象,即一个量子态的两份拷贝可能表现出在单拷贝层面上不存在的关联形式。我们利用真正多体纠缠这一范式,发展了一种系统方法来全面理解该现象。我们基于对称性和多体可蒸馏性的广义概念,引入了研究纠缠超激活的系统方法。借此,我们提出了新的超激活判据及其定量理论。最后,我们证明了不可压缩纠缠的存在,即存在这样一些量子态,其超激活的多体纠缠无法被约化到单拷贝层面。

英文摘要:

Quantum correlations in the form of entanglement, quantum steering or Bell nonlocality are resources for various information-processing tasks, but their detailed quantification and characterization remain complicated. One counter-intuitive effect is the phenomenon of superactivation, meaning that two copies of a quantum state may exhibit forms of correlations which are absent on the single-copy level. We develop a systematic approach towards a full understanding of this phenomenon using the paradigm of genuine multipartite entanglement. We introduce systematic methods for studying superactivation of entanglement based on symmetries and generalized notions of multipartite distillability. With this, we present novel criteria for superactivation as well as a quantitative theory of it. Finally, we prove the existence of incompressible entanglement, meaning that there are quantum states for which superactivated multipartite entanglement cannot be reduced to the single-copy level.

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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