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Measurement-Induced Transition in Long-Range Interacting Quantum Circuits

The competition between scrambling unitary evolution and projective measurements leads to a phase transition in the dynamics of quantum entanglement. Here, we demonstrate that the nature of this transition is fundamentally altered by the presence of long-range, power-law interactions. For sufficient...

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Bibliographic Details
Published in:Physical review letters 2022-01, Vol.128 (1), p.010604-010604, Article 010604
Main Authors: Block, Maxwell, Bao, Yimu, Choi, Soonwon, Altman, Ehud, Yao, Norman Y
Format: Article
Language:English
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Summary:The competition between scrambling unitary evolution and projective measurements leads to a phase transition in the dynamics of quantum entanglement. Here, we demonstrate that the nature of this transition is fundamentally altered by the presence of long-range, power-law interactions. For sufficiently weak power laws, the measurement-induced transition is described by conformal field theory, analogous to short-range-interacting hybrid circuits. However, beyond a critical power law, we demonstrate that long-range interactions give rise to a continuum of nonconformal universality classes, with continuously varying critical exponents. We numerically determine the phase diagram for a one-dimensional, long-range-interacting hybrid circuit model as a function of the power-law exponent and the measurement rate. Finally, by using an analytic mapping to a long-range quantum Ising model, we provide a theoretical understanding for the critical power law.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.128.010604