First experimental observation of strong-to-weak spontaneous symmetry breaking in dephased fermionic atoms, detected via long-range Rényi order after a superlattice-driven metal-insulator transition.
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Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions
14 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We develop an effective field theory characterizing the impact of decoherence on states with abelian topological order and on their capacity to protect quantum information. The decoherence appears as a temporal defect in the double topological quantum field theory that describes the pure density matrix of the uncorrupted state, and it drives a boundary phase transition involving anyon condensation at a critical coupling strength. The ensuing decoherence-induced phases and the loss of quantum information are classified by the Lagrangian subgroups of the double topological order. Our framework generalizes the error recovery transitions, previously derived for certain stabilizer codes, to generic topologically ordered states and shows that they stem from phase transitions in the intrinsic topological order characterizing the mixed state.
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Toric code decodability under coherent X/Z errors is dual to Majorana monitored dynamics whose symmetry class (D or DIII) dictates whether the generic transition is a measurement-induced entanglement transition or a topological transition between area-law phases.
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.
Learning transitions exist in the 2D Ising model when inferring local energies via Bayesian methods, intersecting the thermal transition at a new tricritical point and implying robustness of quantum memory in deformed toric codes under weak measurements.
Locally stable states are equivalent to short-range correlated states and define phases invariant under locally reversible channels, with decay of nonlinear correlators and links to canonical purifications.
Exact solution of Pauli-noisy matchgate circuits on critical Ising states reveals a noise-induced emergent length scale that produces thermal quasiparticle distributions despite infinite-temperature dissipation, accessible via single-qubit probes.
A non-linear sigma model maps surface-code decoding under coherent errors to distinct replica limits, exposing a thermal-metal phase for suboptimal decoders that is absent in optimal decoding.
Mixed-state topology in non-Hermitian systems is characterized via the Uhlmann connection, yielding a thermal Uhlmann-Chern number that differs from pure-state topology and extends to higher-dimensional Abelian and non-Abelian cases.
Steady-state topological order is defined via degeneracy and entropy in open-system Liouvillians, with models showing exponential splitting but algebraically closing gaps.
Engineered dissipation produces topologically degenerate steady states that form a stable many-body phase in three dimensions but not two.
New analytic constructions yield quantum lattice models with continuous symmetry breaking and chiral topological order at arbitrarily high temperatures via entropic stabilization.
Numerical simulations of the surface-code ML decoder under single- and two-qubit unitary rotations reveal a ferromagnetic volume-law phase in which classical information is retained yet hard to recover.
Strong symmetries in open quantum systems always break spontaneously to weak symmetry or completely, producing gapless Goldstone modes, charge diffusion, and time crystalline order in some cases.
Decoherence on abelian topological order is modeled as a temporal defect in double TQFT driving boundary anyon condensation transitions classified by Lagrangian subgroups of the doubled order.
citing papers explorer
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Observation of Strong-to-Weak Spontaneous Symmetry Breaking in a Dephased Fermi Gas
First experimental observation of strong-to-weak spontaneous symmetry breaking in dephased fermionic atoms, detected via long-range Rényi order after a superlattice-driven metal-insulator transition.
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Decoding coherent errors in toric codes on honeycomb and square lattices: duality to Majorana monitored dynamics and symmetry classes
Toric code decodability under coherent X/Z errors is dual to Majorana monitored dynamics whose symmetry class (D or DIII) dictates whether the generic transition is a measurement-induced entanglement transition or a topological transition between area-law phases.
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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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Learning transitions in classical Ising models and deformed toric codes
Learning transitions exist in the 2D Ising model when inferring local energies via Bayesian methods, intersecting the thermal transition at a new tricritical point and implying robustness of quantum memory in deformed toric codes under weak measurements.
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A Unified Framework for Locally Stable Phases
Locally stable states are equivalent to short-range correlated states and define phases invariant under locally reversible channels, with decay of nonlinear correlators and links to canonical purifications.
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Insights into decohered critical states using an exact solution to matchgate circuits with Pauli noise
Exact solution of Pauli-noisy matchgate circuits on critical Ising states reveals a noise-induced emergent length scale that produces thermal quasiparticle distributions despite infinite-temperature dissipation, accessible via single-qubit probes.
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Non-linear Sigma Model for the Surface Code with Coherent Errors
A non-linear sigma model maps surface-code decoding under coherent errors to distinct replica limits, exposing a thermal-metal phase for suboptimal decoders that is absent in optimal decoding.
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Mixed-State Topology in Non-Hermitian Systems
Mixed-state topology in non-Hermitian systems is characterized via the Uhlmann connection, yielding a thermal Uhlmann-Chern number that differs from pure-state topology and extends to higher-dimensional Abelian and non-Abelian cases.
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Steady-state topological order
Steady-state topological order is defined via degeneracy and entropy in open-system Liouvillians, with models showing exponential splitting but algebraically closing gaps.
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Topologically Ordered Steady States in Open Quantum Systems
Engineered dissipation produces topologically degenerate steady states that form a stable many-body phase in three dimensions but not two.
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Exploring Entropic Orders: High Temperature Continuous Symmetry Breaking, Chiral Topological States and Local Commuting Projector Models
New analytic constructions yield quantum lattice models with continuous symmetry breaking and chiral topological order at arbitrarily high temperatures via entropic stabilization.
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Phases of decodability in the surface code with unitary errors
Numerical simulations of the surface-code ML decoder under single- and two-qubit unitary rotations reveal a ferromagnetic volume-law phase in which classical information is retained yet hard to recover.
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Spontaneous symmetry breaking in open quantum systems: strong, weak, and strong-to-weak
Strong symmetries in open quantum systems always break spontaneously to weak symmetry or completely, producing gapless Goldstone modes, charge diffusion, and time crystalline order in some cases.
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Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions
Decoherence on abelian topological order is modeled as a temporal defect in double TQFT driving boundary anyon condensation transitions classified by Lagrangian subgroups of the doubled order.