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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In the thermodynamic limit the quantum and classical full-counting statistics of charge coincide exactly with no finite-time corrections, while the averaged von Neumann entanglement entropy admits a fully explicit expression obtained from the Jacobi-process dynamics of correlation-matrix eigenvalues
Lecture notes and accompanying library teach replica tensor network methods to compute circuit-averaged observables in random quantum circuits by mapping them to classical statistical mechanics models.
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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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Domain-wall melting in all-to-all QSSEP from random-matrix theory
In the thermodynamic limit the quantum and classical full-counting statistics of charge coincide exactly with no finite-time corrections, while the averaged von Neumann entanglement entropy admits a fully explicit expression obtained from the Jacobi-process dynamics of correlation-matrix eigenvalues
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Lecture Notes on Replica Tensor Networks for Random Quantum Circuits
Lecture notes and accompanying library teach replica tensor network methods to compute circuit-averaged observables in random quantum circuits by mapping them to classical statistical mechanics models.