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Topological Quantum Computing
Quantum Simulation
Entropic order parameters and topological holography
arXiv
Authors: Hua-Chen Zhang, Germán Sierra, Javier Molina-Vilaplana
Year
2025
Paper ID
36076
Status
Preprint
Abstract Read
~2 min
Abstract Words
75
Citations
N/A
Abstract
We show that the symmetry topological field theory (SymTFT) construction, also known as the topological holography, provides a natural and intuitive framework for the entropic order parameter characterising phases with (partially) broken symmetries. Various examples of group and non-invertible symmetries are studied. In particular, the origin of the distinguishability of the vacua resulting from spontaneously broken non-invertible symmetries is made manifest with an information-theoretic perspective, where certain operators in the SymTFT are excluded from observation.
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- We show that the symmetry topological field theory (SymTFT) construction, also known as the topological holography, provides a natural and intuitive framework for the entropic...
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