Recognition: unknown
Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions
read the original 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.
This paper has not been read by Pith yet.
Forward citations
Cited by 7 Pith papers
-
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.
-
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 t...
-
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 ...
-
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.
-
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, acces...
-
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.
-
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.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.