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

TL;DR

This paper explores the creation and analysis of entangled and mixed states of Young tableau states within gauge/gravity duality, utilizing multimode coherent states, superpositions, and noisy channels to understand quantum entanglement in holographic systems.

Contribution

It introduces a novel approach to constructing and analyzing entangled and mixed Young tableau states in gauge/gravity duality, including the use of coherent states, superpositions, and environmental interactions.

Findings

Construction of entangled giant graviton states using multimode coherent states

Mapping angular distributions to unitary operations on state pairs

Generation of mixed states via ensemble mixing and noisy channels

Abstract

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.