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.
Highlights
The gauge/gravity correspondence [1, 2, 3] is a remarkable correspondence between a quantum system without gravity on the boundary and a quantum theory with gravity in the bulk
We focus on Young tableau states
In Appendix A, we briefly overview multimode coherent states and Young tableau states for the convenience of readers
Summary
The gauge/gravity correspondence [1, 2, 3] is a remarkable correspondence between a quantum system without gravity on the boundary and a quantum theory with gravity in the bulk. There are states that are of interest both in the quantum gravity side and in quantum information theory, such as coherent states and their superpositions and entanglement. On the quantum field theory side, there are interesting coherent states [6, 11] These are the superpositions of multi-trace states. In the context of gauge/gravity correspondence, BPS coherent states have gravity dual descriptions They are important ingredients in the superposition-induced topology change in quantum gravity [11]. The giant gravitons can be viewed as polarized from point gravitons, under the influence of the antisymmetric form-fields These YT states are entangled states in the product space of the multi-trace Hilbert spaces [11, 12], especially when they contain a big number of boxes. In Appendix A, we briefly overview multimode coherent states and Young tableau states for the convenience of readers
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