Entanglement transitions in structured and random nonunitary Gaussian circuits Article Swipe

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Bastien Lapierre , Lingfei Mo , Shinsei Ryu ·

YOU? · · 2025 · Open Access ·

We study measurement-induced phase transitions in quantum circuits consisting of kicked Ising models with postselected weak measurements, whose dynamics can be mapped onto a classical dynamical system. For a periodic (Floquet) non-unitary evolution, such circuits are exactly tractable and admit volume-to-area law transitions. We show that breaking time-translation symmetry down to a quasiperiodic (Fibonacci) time evolution leads to the emergence of a critical phase with tunable effective central charge and with a fractal origin. Furthermore, for some classes of random non-unitary circuits, we demonstrate the robustness of the volume-to-area law phase transition for arbitrary random realizations, thanks to the emergent compactness of the classical map encoding the circuit's dynamics.

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Type: article
Language: en
Landing Page: http://arxiv.org/abs/2507.03768
PDF: https://arxiv.org/pdf/2507.03768
OA Status: green
OpenAlex ID: https://openalex.org/W4415345220

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Title: Entanglement transitions in structured and random nonunitary Gaussian circuits

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Language: en

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Publication year: 2025

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Publication date: 2025-07-04

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Authors: Bastien Lapierre, Lingfei Mo, Shinsei Ryu

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Landing page: https://arxiv.org/abs/2507.03768

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