Roughening Transition in Quantum Circuits

2025/06/12 by Hyunsoo Ha, David A. Huse, Ha, Hyunsoo +3 · 2 citations
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.2506.11187

openalex publication_date 2025/06/12 · openalex created_date 2025/10/11 · openalex updated_date 2026/08/03

Abstract

We explore a roughening phase transition that occurs in the entanglement dynamics of certain quantum circuits. Viewing entanglement as the free energy of a membrane in a circuit-defined random environment, there is a competition between membrane smoothing due to lattice pinning and roughening due to disorder in the circuit. In particular, we investigate the randomness-induced roughening transition of the entanglement membrane in a (3+1)-dimensional Clifford circuit model, by calculating the entanglement entropy for various bipartitions. We further construct a scaling theory for membranes tilted away from lattice planes, uncovering new scaling forms and a crossover to a previously unexplored critical "tilted regime".

Citations

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Cited by

• Many-body delocalization with a two-dimensional 70-qubit superconducting quantum simulator
• Emergence of Generic Entanglement Structure in Doped Matchgate Circuits

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• Entanglement negativity at the critical point of measurement-driven transition