Exponential Shortcut to Measurement-Induced Entanglement Phase Transitions

Recently discovered measurement-induced entanglement phase transitions in monitored quantum circuits provide a novel example of far-from-equilibrium quantum criticality. Here, we propose a highly efficient strategy for experimentally accessing these transitions through fluctuations. Instead of direc...

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Published inPhysical review letters Vol. 131; no. 2; p. 020401
Main Authors Moghaddam, Ali G, Pöyhönen, Kim, Ojanen, Teemu
Format Journal Article
LanguageEnglish
Published United States 14.07.2023
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Abstract Recently discovered measurement-induced entanglement phase transitions in monitored quantum circuits provide a novel example of far-from-equilibrium quantum criticality. Here, we propose a highly efficient strategy for experimentally accessing these transitions through fluctuations. Instead of directly measuring entanglement entropy, which requires an exponential number of measurements in the subsystem size, our method provides a scalable approach to entanglement transitions in the presence of conserved quantities. In analogy to entanglement entropy and mutual information, we illustrate how bipartite and multipartite fluctuations can both be employed to analyze the measurement-induced criticality. Remarkably, the phase transition can be revealed by measuring fluctuations of only a handful of qubits.
AbstractList Recently discovered measurement-induced entanglement phase transitions in monitored quantum circuits provide a novel example of far-from-equilibrium quantum criticality. Here, we propose a highly efficient strategy for experimentally accessing these transitions through fluctuations. Instead of directly measuring entanglement entropy, which requires an exponential number of measurements in the subsystem size, our method provides a scalable approach to entanglement transitions in the presence of conserved quantities. In analogy to entanglement entropy and mutual information, we illustrate how bipartite and multipartite fluctuations can both be employed to analyze the measurement-induced criticality. Remarkably, the phase transition can be revealed by measuring fluctuations of only a handful of qubits.
Author Moghaddam, Ali G
Ojanen, Teemu
Pöyhönen, Kim
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  givenname: Kim
  surname: Pöyhönen
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  organization: Helsinki Institute of Physics, University of Helsinki, Helsinki FI-00014, Finland
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  givenname: Teemu
  surname: Ojanen
  fullname: Ojanen, Teemu
  organization: Helsinki Institute of Physics, University of Helsinki, Helsinki FI-00014, Finland
BackLink https://www.ncbi.nlm.nih.gov/pubmed/37505948$$D View this record in MEDLINE/PubMed
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