Measurement-Induced Transition in Long-Range Interacting Quantum Circuits
Name
PhysRevLett.128.010604.pdf
Description
Published version
Size
1.13 MB
Format
Adobe PDF
Checksum (MD5)
388bcec430ebeab6a9a28d037ac1ec05
Author(s)
Block, Maxwell
Bao, Yimu
Choi, Soonwon
Altman, Ehud
Yao, Norman Y
Date Issued
January 7, 2022
Journal
Physical Review Letters
Publisher
American Physical Society (APS)
Citation
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).
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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DOI of Published Version
https://doi.org/10.1103/physrevlett.128.010604
