Measurement induced scrambling and emergent symmetries in random circuits

arXiv:2506.18121 · quant-ph, cond-mat.dis-nn, cond-mat.stat-mech, cond-mat.str-el, hep-th · Submitted 2025-06-22 · Read on arXiv

quant-ph, cond-mat.dis-nn, cond-mat.stat-mech, cond-mat.str-el, hep-th

Submitted: 2025-06-22

Updated: 2025-06-22

Terminology

• Entanglement — 110× in this paper · explained in 4 episodes
• Entanglement Entropy — 20× in this paper · explained in 2 episodes
• Quantum Circuits — 14× in this paper · explained in 2 episodes
• Phase Transitions — 12× in this paper · explained in 2 episodes
• Degeneracy — 8× in this paper · explained in 3 episodes
• Hilbert Space — 8× in this paper · explained in 2 episodes
• Symmetry Breaking — 6× in this paper · explained in 3 episodes
• Frustration — 5× in this paper · explained in 2 episodes
• Topological Order — 3× in this paper · explained in 2 episodes
• Bosonization — 2× in this paper · explained in 2 episodes
• Domain Walls — 2× in this paper · explained in 2 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Unitary Dynamics — 2× in this paper · explained in 2 episodes
• Alternation — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Conservation Laws — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Many-Body Effects — 1× in this paper · explained in 2 episodes
• Quantum Zeno Effect — 1× in this paper · explained in 2 episodes
• Topological Phase Transition — 1× in this paper · explained in 2 episodes
• Universality Class — 1× in this paper · explained in 2 episodes

Sources

• Random Quantum Circuits
• Measurement-Driven Phase Transition within a Volume-Law Entangled Phase
• Entanglement Domain Walls in Monitored Quantum Circuits and the Directed Polymer in a Random Environment
• Measurement-Induced Entanglement Phase Transition in Random Bilocal Circuits
• Finite-time teleportation phase transition in random quantum circuits
• Cross Entropy Benchmark for Measurement-Induced Phase Transitions
• Measurement-induced entanglement and teleportation on a noisy quantum processor
• Monitored Quantum Dynamics and the Kitaev Spin Liquid
• Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)

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