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 topological transition between area-law phases.
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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 greater than 1/2, decreasing under RG flow.
For single-logical-qubit surface codes with uniform X rotations, the projected logical ensemble after syndrome extraction and maximum-likelihood decoding is isomorphic to scattering-matrix ensembles of chaotic quantum dots in Altland-Zirnbauer classes D or DIII.
Dynamical self-duality in Fibonacci-monitored quantum Ising chains predicts two golden-ratio-related critical lines and protects universal criticality in long-time steady states for weak and projective measurements.
Introduces statistical dynamical quantum phase transitions via Born-rule sampling of post-measurement states in quenched Ising chains, recovering DQPT features in high moments and proposing a measurement-based simulation protocol.
citing papers explorer
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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 topological transition between area-law phases.
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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 greater than 1/2, decreasing under RG flow.
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Projected logical ensembles in surface codes via the random-matrix theory of quantum dots
For single-logical-qubit surface codes with uniform X rotations, the projected logical ensemble after syndrome extraction and maximum-likelihood decoding is isomorphic to scattering-matrix ensembles of chaotic quantum dots in Altland-Zirnbauer classes D or DIII.
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Dynamical self-dual criticality in Fibonacci-monitored quantum Ising chains
Dynamical self-duality in Fibonacci-monitored quantum Ising chains predicts two golden-ratio-related critical lines and protects universal criticality in long-time steady states for weak and projective measurements.
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Born-rule statistical dynamical quantum phase transitions under measurement
Introduces statistical dynamical quantum phase transitions via Born-rule sampling of post-measurement states in quenched Ising chains, recovering DQPT features in high moments and proposing a measurement-based simulation protocol.