Averaging symmetric Z_N quantum circuits over random noise produces a noisy surface code whose logical information is protected against symmetric errors up to a threshold, with charge-sharpening transitions coinciding with bulk confinement transitions that differ for N≤4 versus N>4.
Lyons, Understanding Stabilizer Codes Under Local De- coherence Through A General Statistical Mechanics Mapping
3 Pith papers cite this work. Polarity classification is still indexing.
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Proposes relative-entropy-based measures to diagnose chirality in mixed-state topological phases after showing pure-state diagnostics are unreliable.
Fidelity of graph states under IID Pauli noise maps to a classical spin partition function, revealing dimension- and degree-dependent phase transitions that determine noise robustness.
citing papers explorer
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Holographically Emergent Gauge Theory in Symmetric Quantum Circuits
Averaging symmetric Z_N quantum circuits over random noise produces a noisy surface code whose logical information is protected against symmetric errors up to a threshold, with charge-sharpening transitions coinciding with bulk confinement transitions that differ for N≤4 versus N>4.
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Measures of Chirality in Mixed-State Topological Phases
Proposes relative-entropy-based measures to diagnose chirality in mixed-state topological phases after showing pure-state diagnostics are unreliable.
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Phase Transitions and Noise Robustness of Quantum Graph States
Fidelity of graph states under IID Pauli noise maps to a classical spin partition function, revealing dimension- and degree-dependent phase transitions that determine noise robustness.