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  • Letter
  • Open Access

Quantum noise as a symmetry-breaking field

Beatriz C. Dias1,2,3,4,*, Domagoj Perković1,5, Masudul Haque6,7,1, Pedro Ribeiro2,8, and Paul A. McClarty1

  • 1Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany
  • 2CeFEMA, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
  • 3Department of Mathematics, Technical University of Munich, 85748 Garching, Germany
  • 4Munich Center for Quantum Science and Technology (MCQST), Munich, 80799 Munich, Germany
  • 5Department of Physics, Cavendish Laboratory, JJ Thomson Avenue, Cambridge CB3 0HE, United Kingdom
  • 6Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany
  • 7Department of Theoretical Physics, Maynooth University, Co. Kildare, Ireland
  • 8Beijing Computational Science Research Center, Beijing 100084, China

  • *Corresponding author: beatriz.dias@tecnico.ulisboa.pt
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Phys. Rev. B 108, L060302 – Published 30 August, 2023

DOI: https://doi.org/10.1103/PhysRevB.108.L060302

Abstract

We investigate the effect of quantum noise on the measurement-induced quantum phase transition in monitored random quantum circuits. Using the efficient simulability of random Clifford circuits, we find that the transition is broadened into a crossover and that the phase diagram as a function of projective measurements and noise exhibits several distinct regimes. We show that a mapping to a classical statistical mechanics problem accounts for the main features of the random circuit phase diagram. The bulk noise maps to an explicit permutation symmetry-breaking coupling; this symmetry is spontaneously broken when the noise is switched off. These results have implications for the realization of entanglement transitions in noisy quantum circuits.

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Phys. Rev. B 108, L060302– Published 30 August, 2023
  • Received 5 October 2022
  • Revised 30 June 2023
  • Accepted 30 June 2023
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

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