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Roughening Transition in Quantum Circuits.

Hyunsoo Ha1, David A Huse1, Grace M Sommers1

  • 1Princeton University, Department of Physics, Princeton, New Jersey 08544, USA.

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|October 31, 2025
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Summary
This summary is machine-generated.

We found a quantum circuit phase transition where entanglement dynamics roughen like a membrane. This disorder-induced roughening transition reveals new scaling behaviors in quantum entanglement.

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics

Background:

  • Entanglement dynamics in quantum circuits can be modeled as a membrane in a random environment.
  • A competition exists between membrane smoothing (lattice pinning) and roughening (circuit disorder).

Purpose of the Study:

  • Investigate the disorder-induced roughening transition in entanglement dynamics.
  • Analyze the behavior of the entanglement membrane in a (3+1)-dimensional Clifford circuit model.

Main Methods:

  • Calculating entanglement entropy for various bipartitions.
  • Developing a scaling theory for tilted membranes.

Main Results:

  • Observed a roughening phase transition in entanglement dynamics.
  • Identified new scaling forms for tilted membranes.
  • Discovered a crossover to a critical 'tilted regime.'

Conclusions:

  • Quantum circuit disorder drives a roughening transition in entanglement.
  • The study introduces novel scaling theories and uncovers a new critical regime.