Proves unique stationary law for Clifford random monitored quantum circuits and computes leading asymptotics of steady magic, linear for odd-prime dimension mana and quadratic for qubit 2-stabilizer Rényi entropy.
Zhu, Multiqubit clifford groups are unitary 3-designs, Phys
3 Pith papers cite this work, alongside 189 external citations. Polarity classification is still indexing.
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Finite-field Clifford dual-unitary gates fall into five transport phases whose one-site edge channels fix exact local-masking distances d1(t)=4t (perfect) or 4t-2 (delayed) and d2(t)=4t-2 or 4t-4.
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.
citing papers explorer
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Invariant Measures and Weak-Magic-Injection Asymptotics in Random Monitored Quantum Circuits
Proves unique stationary law for Clifford random monitored quantum circuits and computes leading asymptotics of steady magic, linear for odd-prime dimension mana and quadratic for qubit 2-stabilizer Rényi entropy.
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Classification and Exact Local Masking in Finite-Field Clifford Dual-Unitary Circuits
Finite-field Clifford dual-unitary gates fall into five transport phases whose one-site edge channels fix exact local-masking distances d1(t)=4t (perfect) or 4t-2 (delayed) and d2(t)=4t-2 or 4t-4.
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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.