The Measurement-induced Transition in Long-range Interacting Quantum Circuits

• URL: http://arxiv.org/abs/2104.13372v1
• Date: Tue, 27 Apr 2021 17:59:59 GMT
• Title: The Measurement-induced Transition in Long-range Interacting Quantum Circuits
• Authors: Maxwell Block, Yimu Bao, Soonwon Choi, Ehud Altman, Norman Yao
• Abstract summary: We show that the competition between scrambling unitary evolution and projective measurements leads to a phase transition in quantum entanglement. For sufficiently weak power-laws, the measurement-induced transition is described by conformal field theory. We numerically determine the phase diagram for a one-dimensional, long-range-interacting hybrid circuit model.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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