Quantum Matter, Information, Dynamics, and Computation Program

Spring 2028 - Quantum Computation, Information, and Dynamics

Modern quantum dynamics is shaped as much by measurement, noise, and feedback as by isolated unitary evolution. Monitored circuits can exhibit sharp changes in entanglement structure; feedback can stabilize or destabilize many-body behavior; quantum channels describe what information survives when a system interacts with an environment. These developments create mathematical questions that cut across condensed matter, quantum information, statistical mechanics, control, and computation. The semester will use monitored and open quantum systems as common objects on which different communities can compare definitions, limits, and claims of advantage.

  • One problem cluster concerns measurement and control transitions: when do entanglement, controllability, or trainability change together, and what separates the transitions when they do not?
  • A second concerns mixed-state order and topology: which properties of individual monitored trajectories survive after measurement records are discarded, and what remains operationally detectable?
  • A third concerns resource-aware computation and learning: a claimed advantage must account for state preparation, measurements, classical processing, noise, and error mitigation.

These questions connect to error correction, many-body chaos, open-system phases, quantum channels, and stochastic control, and they require both physically realistic models and mathematically precise information measures.

Researchers at TIAMS will put competing models on equal footing, track which information is available to an observer, and test robustness under changes of protocol or noise model. Opening tutorials will create common language in channels, entanglement, monitored dynamics, feedback, and error correction. Working groups will move between analytic arguments, numerics, and resource accounting, with particular attention to quantities that can be computed or measured in realistic settings. Useful outcomes include a theorem, a protocol with a clearly stated regime, a counterexample to an overbroad claim, a sharper operational definition of order, or a map between dynamical and information-theoretic descriptions. Groups should also distinguish trajectory-level phenomena from properties of the averaged state, since that distinction often determines which information can actually be accessed or used.

 

  • When do measurement-induced entanglement transitions coincide with transitions in control, learnability, or information-processing capacity?
  • How should order and topology be defined for mixed states so that the definitions correspond to operationally accessible information?
  • What information is recoverable from measurement records, and when is coherence loss equivalent to irreversible information loss?
  • Which feedback protocols can efficiently prepare or stabilize many-body states under realistic noise and measurement constraints?
  • When do adaptive circuits or quantum-learning protocols retain an advantage after all preparation, measurement, mitigation, and classical resources are counted?
  • Which dynamical signatures remain experimentally verifiable outside idealized monitored-circuit models?

  • Monitored quantum circuits
  • Quantum channels and open-system dynamics
  • Measurement and control transitions
  • Entanglement and information flow
  • Mixed-state order and topology
  • Quantum error correction
  • Feedback, chaos, and quantum control
  • Resource-aware quantum computation

  • Justin H. Wilson — TIAMS scientific lead; LSU
  • Romain Vasseur (pending) — provisional external scientific leader; University of Geneva
  • Michael J. Gullans (pending) — provisional external scientific leader; National Institute of Standards and Technology

The semester should open with a compact tutorial block, then move quickly into working groups around benchmark models. A focused workshop in late winter/early spring can bring together researchers in monitored dynamics, information, and quantum control. March and April should preserve long stretches for overlapping residence and repeated group meetings. A smaller April intensive may target an issue that emerges from the first workshop, followed by a late-semester synthesis emphasizing robust statements and remaining open problems.

Preliminary Workshops, Schools, or Focused Meetings

Opening tutorials on quantum information, channels, and monitored dynamics

dates TBA

Focused workshop on measurement, feedback, and dynamical phases

dates TBA

Working-group intensive on mixed states, error correction, and resource accounting

dates TBA

Semester synthesis meeting

dates TBA

Seminars and Working Groups

  • Measurement and control criticality: entanglement transitions, feedback thresholds, and scaling descriptions.
  • Mixed-state structure: operational order/topology, recoverable information, channels, and error correction.
  • Quantum chaos under feedback: stochastic control, stabilization, and universal dynamical behavior.
  • Full resource accounting: learning and computational claims tested against preparation, measurement, noise, mitigation, and classical processing.

The semester is intended for researchers in quantum information, condensed-matter theory, nonequilibrium statistical mechanics, quantum computation, mathematical physics, control, and many-body dynamics. Faculty, postdoctoral researchers, and graduate students are invited, along with researchers in computer science, information theory, probability, operator theory, and experimental quantum platforms when their work connects to the central models. Participants should expect to engage across disciplinary language: physicists may need precise information-theoretic definitions, while mathematical or computational researchers should be prepared to confront realistic constraints of measurement and noise. Researchers working on quantum error correction, simulators, near-term devices, or classical methods for verifying quantum claims can also contribute natural benchmark problems.

  • Extended or month-scale residence with an active working group.
  • Short visits centered on a specific model, protocol, or calculation.
  • Participation in opening tutorials and the focused workshop.
  • Weekly seminars and cross-group research discussions.
  • Graduate/postdoc research participation attached to benchmark problems.
  • Expression of interest through the TIAMS participation form.

Junior participants should be able to move from tutorials directly into research groups studying monitored circuits, quantum channels, feedback, and mixed states. They will be encouraged to reproduce benchmark calculations, compare diagnostics across models, and present partial results in informal seminars. The residential format is meant to give them repeated contact with senior researchers, enough time to correct misunderstandings, and a realistic path from learning a formalism to contributing a calculation or research question. Postdocs can also help bridge the physics, information, and computational communities by maintaining common benchmark code and definitions.

Possible outcomes include analytic and numerical descriptions of monitored phases, operational definitions or invariants for mixed states, feedback/control protocols with explicit assumptions, resource-accounting analyses, error-correction connections, reproducible computational tools, and collaborations spanning quantum dynamics and information.

Use the TIAMS Program Participation form to describe the questions and models you would bring to the semester, preferred visit dates, desired working groups, and any support request.