The RDM of 2D topological order at an entanglement cut realizes a 1D Z2 SW-SSB mixed-state phase whose correlations and disorder parameters encode anyon deconfinement and spinon fractionalization.
Enforced Gaplessness from States with Exponentially Decaying Correlations
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The tricritical point at the learning transition of deformed toric codes is a higher Nishimori critical point where the Edwards-Anderson correlation exponent exactly matches the clean Ising spin exponent and c_eff is greater than 1/2, decreasing under RG flow.
Symmetry spans enforce gaplessness when a symmetry E embedded into two larger symmetries C and D has no compatible gapped phase that restricts from both.
For single-logical-qubit surface codes with uniform X rotations, the projected logical ensemble after syndrome extraction and maximum-likelihood decoding is isomorphic to scattering-matrix ensembles of chaotic quantum dots in Altland-Zirnbauer classes D or DIII.
citing papers explorer
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From Topological Order to Mixed-State Phases: A Ground-State Probe of Fractionalized Excitations
The RDM of 2D topological order at an entanglement cut realizes a 1D Z2 SW-SSB mixed-state phase whose correlations and disorder parameters encode anyon deconfinement and spinon fractionalization.
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Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes
The tricritical point at the learning transition of deformed toric codes is a higher Nishimori critical point where the Edwards-Anderson correlation exponent exactly matches the clean Ising spin exponent and c_eff is greater than 1/2, decreasing under RG flow.
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Symmetry Spans and Enforced Gaplessness
Symmetry spans enforce gaplessness when a symmetry E embedded into two larger symmetries C and D has no compatible gapped phase that restricts from both.
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Projected logical ensembles in surface codes via the random-matrix theory of quantum dots
For single-logical-qubit surface codes with uniform X rotations, the projected logical ensemble after syndrome extraction and maximum-likelihood decoding is isomorphic to scattering-matrix ensembles of chaotic quantum dots in Altland-Zirnbauer classes D or DIII.
- Statistical Mechanics and Symmetries of Non-Abelian Anyon Proliferation: From Deformation to Decoherence