The quantum Mpemba effect in symmetric random Clifford circuits

arXiv:2609.17988 · cond-mat.stat-mech, quant-ph · Submitted 2026-09-16 · Read on arXiv

cond-mat.stat-mech, quant-ph

Submitted: 2026-09-16

Updated: 2026-09-16

Comments: 8+10 pages, 3+1 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Entanglement — 72× in this paper · explained in 3 episodes
• Symmetry Breaking — 10× in this paper · explained in 3 episodes
• Entanglement Entropy — 7× in this paper · explained in 2 episodes
• Quantum Circuits — 4× in this paper · explained in 2 episodes
• Actor — 2× in this paper · explained in 3 episodes
• Phase Transitions — 2× in this paper · explained in 2 episodes
• Stabilizer States — 2× in this paper · explained in 2 episodes
• Clustering — 1× in this paper · explained in 2 episodes
• Domain Walls — 1× in this paper · explained in 2 episodes
• Initial Data — 1× in this paper · explained in 2 episodes
• Quantum Zeno Effect — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes
• Unitary Dynamics — 1× in this paper · explained in 2 episodes

Sources

• Quantum Fisher Information as a Measure of Symmetry Breaking in Quantum Many-Body Systems
• A Gaussian asymmetry measure
• A closed system setting for quantum thermalisation in free fermions
• Entanglement asymmetry and quantum Mpemba effect for Kramers-Wannier duality
• Quantum Many-Body Mpemba Effect through Ruelle-Pollicott Resonances
• Quantum Mpemba effect in chaotic systems with conservation laws
• Higher-order Symmetric Quantum Mpemba Effect in Fragmented Systems
• Asymmetry dynamics and nonequilibrium symmetry-breaking phase transitions
• Breaking of clustering and macroscopic coherence under the lens of asymmetry measures
• Boundary quenches in (1+1)-dimensional conformal field theory
• Probing Entanglement and Symmetries in Random States Using a Superconducting Quantum Processor
• Entanglement Asymmetry in Random Quantum Automata
• QuickQudits: A Framework for Efficient Simulation of Noisy Qudit Clifford Circuits via an Extended Stabilizer Tableau Formalism
• STABSim: A Parallelized Clifford Simulator with Features Beyond Direct Simulation
• Stabilizer Codes and Quantum Error Correction
• The Heisenberg Representation of Quantum Computers
• The Clifford group forms a unitary 3-design
• The Clifford group fails gracefully to be a unitary 4-design
• Universality of Measurement-Induced Criticality under Symmetry-Breaking Measurements
• Entanglement in the stabilizer formalism

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• Quantum many-body operator cascade as a route to chaos