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Lecture Notes: Introduction to random unitary circuits and the measurement-induced entanglement phase transition

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arxiv 2307.02986 v1 pith:GNWH2YTW submitted 2023-07-06 cond-mat.stat-mech cond-mat.dis-nnquant-ph

Lecture Notes: Introduction to random unitary circuits and the measurement-induced entanglement phase transition

classification cond-mat.stat-mech cond-mat.dis-nnquant-ph
keywords entanglementlecturenotescircuitsmeasurement-inducedphaserandomtransition
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These are lecture notes compiled for a short lecture series at the 2023 Condensed Matter Summer School at the University of Minnesota. They are designed to be conversational and fun, and not to take the place of review articles that do a serious job of stating things precisely and citing literature thoroughly. The goal of the notes is to introduce some central ideas underlying the study of entanglement dynamics in random unitary circuits and the measurement-induced entanglement phase transition. A particular focus is the concept of the "minimal cut" and its associated stat mech mappings.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Universality of Measurement-Induced Criticality under Symmetry-Breaking Measurements

    cond-mat.stat-mech 2026-07 accept novelty 7.0

    Symmetry-breaking local measurements are a relevant perturbation that drives U(1)-symmetric monitored circuits into the generic non-symmetric MIPT universality class, with finite charge correlation length at any measu...

  2. Operator spreading in random circuits with orthogonal or symplectic symmetry

    quant-ph 2026-06 unverdicted novelty 7.0

    Random circuits with orthogonal or symplectic symmetry exhibit ternary Pauli weights, finite-width domain walls, and component-dependent butterfly velocities that can exceed the Haar value for q=2.