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arXiv · 2201.01303

Holographic State Complexity from Group Cohomology

Bartlomiej Czech
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Abstract

Topological phases of matter are often described using auxiliary systems in one extra dimension. I review the one-dimensional cluster state--the simplest quantum state with Symmetry-Protected Topological (SPT) order--as a toy model of holographic duality, and inspect it for clues about defining holographic complexity. Group cohomology, which classifies SPT orders, is a viable candidate for a robust definition of complexity in gauge/gravity duality.

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Bartlomiej Czech. 2022-01-07. Holographic State Complexity from Group Cohomology. https://arxiv.org/abs/2201.01303

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