A Mechanism for the R'enyi Hierarchy of Decoherence-Induced Phase Transitions

arXiv:2609.30377 · quant-ph, cond-mat.dis-nn, cond-mat.stat-mech, cond-mat.str-el · Submitted 2026-09-24 · Read on arXiv

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

Submitted: 2026-09-24

Updated: 2026-09-24

Terminology

• Symmetry Breaking — 11× in this paper · explained in 3 episodes
• Topological Order — 8× in this paper · explained in 2 episodes
• CSS Codes — 5× in this paper · explained in 2 episodes
• Entanglement — 4× in this paper · explained in 4 episodes
• Phase Transitions — 4× in this paper · explained in 2 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Accuracy — 1× in this paper · explained in 1 episode

Sources

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• Exact Calculations of Coherent Information for Toric Codes under Decoherence: Identifying the Fundamental Error Threshold
• Coherent information for CSS codes under decoherence
• Accurate optimal quantum error correction thresholds from coherent information
• Understanding Stabilizer Codes Under Local Decoherence Through a General Statistical Mechanics Mapping
• The surface code beyond Pauli channels: Logical noise coherence, information-theoretic measures, and errorfield-double phenomenology
• Symmetry protected topological phases under decoherence
• Towards a classification of mixed-state topological orders in two dimensions
• A Noisy Approach to Intrinsically Mixed-State Topological Order
• Topological Mixed States: Phases of Matter from Axiomatic Approaches
• Strong-to-Weak Symmetry Breaking in Open Quantum Systems: From Discrete Particles to Continuum Hydrodynamics
• Observation of Strong-to-Weak Spontaneous Symmetry Breaking in a Dephased Fermi Gas
• Spontaneous Strong Symmetry Breaking in Open Systems: Purification Perspective
• Hydrodynamics as the effective field theory of strong-to-weak spontaneous symmetry breaking
• Fractional quantum Hall states under density decoherence

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