Entanglement Dynamics From Random Product States: Deviation From Maximal Entanglement

Yichen Huang

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Entanglement Dynamics From Random Product States: Deviation From Maximal Entanglement

机译：Entanglement Dynamics From Random Product States: Deviation From Maximal Entanglement

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摘要

We study the entanglement dynamics of quantum many-body systems and prove the following: (I) For any geometrically local Hamiltonian on a lattice, starting from a random product state the entanglement entropy is bounded away from the maximum entropy at all times with high probability. (II) In a spin-glass model with random all-to-all interactions, starting from any product state the average entanglement entropy is bounded away from the maximum entropy at all times. We also extend these results to any unitary evolution with charge conservation and to the Sachdev-Ye-Kitaev model. Our results highlight the difference between the entanglement generated by (chaotic) Hamiltonian dynamics and that of random states, for the latter is nearly maximal.

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《IEEE Transactions on Information Theory》 |2022年第5期|3200-3207|共8页
作者
Yichen Huang;
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作者单位

Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA, USA;

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原文格式 PDF
正文语种英语
中图分类通信;
关键词
Entropy; Qubit; Lattices; Quantum entanglement; Upper bound; Random variables; Standards;

Entanglement Dynamics From Random Product States: Deviation From Maximal Entanglement

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