4.3 Article

Entanglement and mixed states of Young tableau states in gauge/gravity correspondence

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NUCLEAR PHYSICS B
卷 972, 期 -, 页码 -

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DOI: 10.1016/j.nuclphysb.2021.115572

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资金

  1. National Key R&D Program of China [2020YFA0713000]
  2. Tsinghua University [TH-533310008]
  3. Yau Mathematical Sciences Center, Tsinghua University

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This study utilizes entangled multimode coherent states to generate entangled giant graviton states and analyzes their superposition, entangled pairs, and the method of generating mixed states within the context of gauge/gravity duality.
We use entangled multimode coherent states to produce entangled giant graviton states, in the context of gauge/gravity duality. We make a smeared distribution of the entangled multimode coherent states on the circle, or on the five-sphere, in the higher dimensional view. In gauge/gravity duality, we analyze the superposition of giant graviton states, and the entangled pairs of giant graviton states. We map a class of angular distribution functions to unitary operations on the pairs. We also use Young tableau states to construct cat states and qudit states. Various bipartite quantum states involving Young tableau states are analyzed, including micro-macro entangled states. Mixed states of Young tableau states are generated, by using ensemble mixing using angular distribution functions, and also by going through noisy quantum channels. We then produce mixed entangled pair of giant graviton states, by including interaction with the environment and using noisy quantum channels. (C) 2021 The Authors. Published by Elsevier B.V.

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