Introduces a local one-point fidelity correlator to define SW-SSB, preserving key features like channel stability and long-range conditional mutual information while enabling detection in large and thermodynamic-limit systems.
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Measurement-based quantum diffusion models are introduced to recover pure and mixed quantum states via weak measurements, quantum score matching, and Petz recovery maps with error bounds, bridging to classical stochastic reversals.
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.
Decohered non-Abelian Kitaev quantum double states exhibit strong-to-weak spontaneous symmetry breaking of non-invertible higher-form symmetries and form an information convex set whose dimension equals the pure-state ground-state degeneracy.
Coherent unitary errors on stabilizer codes trigger a phase transition at critical rate pc, below which the syndrome state keeps the original logical information and above which it shifts to a different logical state.
citing papers explorer
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Local Strong-to-Weak Spontaneous Symmetry Breaking
Introduces a local one-point fidelity correlator to define SW-SSB, preserving key features like channel stability and long-range conditional mutual information while enabling detection in large and thermodynamic-limit systems.
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Measurement-Based Quantum Diffusion Models
Measurement-based quantum diffusion models are introduced to recover pure and mixed quantum states via weak measurements, quantum score matching, and Petz recovery maps with error bounds, bridging to classical stochastic reversals.
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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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Strong-to-weak spontaneous symmetry breaking of higher-form non-invertible symmetries in Kitaev's quantum double model
Decohered non-Abelian Kitaev quantum double states exhibit strong-to-weak spontaneous symmetry breaking of non-invertible higher-form symmetries and form an information convex set whose dimension equals the pure-state ground-state degeneracy.
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Coherent error induced phase transition
Coherent unitary errors on stabilizer codes trigger a phase transition at critical rate pc, below which the syndrome state keeps the original logical information and above which it shifts to a different logical state.