Matthew Fisher

About

Matthew Fisher is a Professor at UC Santa Barbara in the Department of Physics. His present research interests lie at the border between many-body theory and quantum information theory, with a particular focus on the non-equilibrium quantum dynamics of open and monitored quantum systems. This research area involves understanding complex quantum systems that are not isolated but interact with their environment, which is crucial for advancing quantum information science and condensed matter theory.

Research topics

• Computer Science
• Quantum mechanics
• Physics
• Algorithm
• Statistical physics
• Mathematics

Selected publications

• Random Quantum Circuits

  Annual Review of Condensed Matter Physics · 2022 · 440 citations

  1st authorCorresponding

  Quantum circuits—built from local unitary gates and local measurements—are a new playground for quantum many-body physics and a tractable setting to explore universal collective phenomena far from equilibrium. These models have shed light on longstanding questions about thermalization and chaos, and on the underlying universal dynamics of quantum information and entanglement. In addition, such models generate new sets of questions and give rise to phenomena with no traditional analog, such as dy…

  DOI

• Statistical mechanics of quantum error correcting codes

  Physical review. B./Physical review. B · 2021 · 211 citations

  Senior authorCorresponding

  Random quantum dynamics generates quantum error correcting codes that are robust against observers and errors. Here, the authors describe a simple physical picture of such codes, mapping characteristic code properties to the statistical mechanics of fluctuating ``entanglement domain walls''. The error correcting criterion is understood as a decoupling condition of domain walls, which leads to a universal scaling law of the ``code distance''.

  DOI

• Cross Entropy Benchmark for Measurement-Induced Phase Transitions

  Physical Review Letters · 2023-06-01 · 81 citations

  articleOpen accessSenior author

  We investigate prospects of employing the linear cross entropy to experimentally access measurement-induced phase transitions without requiring any postselection of quantum trajectories. For two random circuits that are identical in the bulk but with different initial states, the linear cross entropy χ between the bulk measurement outcome distributions in the two circuits acts as an order parameter, and can be used to distinguish the volume law from area law phases. In the volume law phase (and…

  PublisherOA PDFDOI

• Coherence requirements for quantum communication from hybrid circuit dynamics

  SciPost Physics · 2023-12-22 · 48 citations

  articleOpen access

  The coherent superposition of quantum states is an important resource for quantum information processing which distinguishes quantum dynamics and information from their classical counterparts. In this article we determine the coherence requirements to communicate quantum information in a broad setting encompassing monitored quantum dynamics and quantum error correction codes. We determine these requirements by considering hybrid circuits that are generated by a quantum information game played be…

  PublisherOA PDFDOI

• Statistical mechanics model for Clifford random tensor networks and monitored quantum circuits

  Physical review. B./Physical review. B · 2024-05-13 · 30 citations

  article

  The authors explore critical properties of entanglement phase transitions in random tensor networks and monitored quantum circuits with Clifford tensors/gates for on-site Hilbert space dimensions which are powers of a prime number $p$. Exact mappings to replica spin models and characterizations of their symmetry groups predict that all universal properties will depend only on $p$. These predictions are confirmed with extensive numerical simulations. The authors also establish multifractal scalin…

  PublisherDOI

Recent grants

• Exotic Quantum Phases and Criticality

  NSF · $456k · 2005–2012

• Quantum entanglement in Many-Body Systems

  NSF · $435k · 2014–2018

• Strongly Correlated Quantum Phases

  NSF · $390k · 2011–2014

Frequent coauthors

• Leon Balents

  Canadian Institute for Advanced Research

  53 shared

• T. Senthil

  Massachusetts Institute of Technology

  39 shared

• Olexei I. Motrunich

  California Institute of Technology

  37 shared

• S. M. Girvin

  Yale University

  36 shared

• Chetan Nayak

  34 shared

• Yaodong Li

  28 shared

• F. Drouhin

  Université de Strasbourg

  27 shared

• C. L. Kane

  University of Pennsylvania

  26 shared

Labs

• Matthew Fisher's LabPI

  Not provided

Education

• Ph.D.

  University of Illinois at Urbana-Champaign

  1986

Awards & honors

• Alan T. Waterman Award (1995)
• National Academy of Sciences Award for Initiatives in Resear…
• Oliver E. Buckley Prize in Condensed Matter Physics (2015)
• Member of the American Academy of Arts and Sciences (2003)
• Member of the National Academy of Sciences (2012)

Similar researchers at University of California, Santa Barbara

• Lars Bildstenh-91
• Caitlin Caseyh-62