Mixed-state phases induced by power-law quantum channels

arXiv:2610.00480 · quant-ph, cond-mat.stat-mech, cond-mat.str-el · Submitted 2026-09-30 · Read on arXiv

quant-ph, cond-mat.stat-mech, cond-mat.str-el

Submitted: 2026-09-30

Updated: 2026-09-30

Terminology

• Symmetry Breaking — 22× in this paper · explained in 3 episodes
• Topological Order — 10× in this paper · explained in 2 episodes
• Hilbert Space — 6× in this paper · explained in 2 episodes
• Entanglement — 5× in this paper · explained in 3 episodes
• Trace — 5× in this paper · explained in 2 episodes
• Domain Walls — 4× in this paper · explained in 2 episodes
• Consistency — 3× in this paper · explained in 3 episodes
• Fidelity — 3× in this paper · explained in 2 episodes
• Phase Transitions — 2× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Adiabatic Evolution — 1× in this paper · explained in 2 episodes
• Lindblad master equation — 1× in this paper · explained in 2 episodes
• Matrix Product States (MPS) — 1× in this paper · explained in 2 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Self-consistency — 1× in this paper · explained in 2 episodes

Sources

• Lindbladians with multiple steady states: theory and applications
• Strong-to-Weak Spontaneous Symmetry Breaking
• Higher-form anomaly and long-range entanglement of mixed states
• Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations
• Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions
• Information Critical Phases under Decoherence
• Strong-to-Weak Symmetry Breaking in Open Quantum Systems: From Discrete Particles to Continuum Hydrodynamics
• Strong-to-Weak Spontaneous Symmetry Breaking in a $(2+1)$D Transverse-Field Ising Model under Decoherence
• State preparation with parallel-sequential circuits
• Renormalization-group-based preparation of matrix product states on up to 80 qubits
• Entanglement spectrum of a topological phase in one dimension
• Hierarchy of mixed symmetry protected topological states in extended cluster states under subsystem decoherence
• Nonequilibrium topological response under charge dephasing
• A new critical exponent koppa and its logarithmic counterpart koppa-hat
• String order and symmetries in quantum spin lattices
• Tensor network formulation of symmetry protected topological phases in mixed states
• Understanding Stabilizer Codes Under Local Decoherence Through a General Statistical Mechanics Mapping
• Intrinsic Error Thresholds in Nearly Critical Toric Codes

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