Measurement-Induced Transition in Long-Range Interacting Quantum Circuits
Author(s)Block, Maxwell; Bao, Yimu; Choi, Soonwon; Altman, Ehud; Yao, Norman Y
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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 non-conformal 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.
DepartmentMassachusetts Institute of Technology. Center for Theoretical Physics
Physical Review Letters
American Physical Society (APS)
Block, Maxwell, Bao, Yimu, Choi, Soonwon, Altman, Ehud and Yao, Norman Y. 2022. "Measurement-Induced Transition in Long-Range Interacting Quantum Circuits." Physical Review Letters, 128 (1).
Final published version