Date/Time
13 June 2027 - 18 June 2027
Organized by
Sarang Gopalakrishnan (Princeton U.), Romain Vasseur (UNIGE), Carolyn Zhang (Harvard U.)
Event page & registration
https://indico.global/event/16590/
Description
Many-body systems that are subject to noise, measurements, and feedback—such as fault-tolerant quantum computers—form a new class of long-range entangled mixed states. Defining “phases of matter” for such systems, and classifying them into phases, is a central open question at the interface between many-body physics and quantum information theory. Several of these novel information-theoretic phases of matter are characterized by the properties of individual “quantum trajectories”—i.e., histories of measurement outcomes—and how much an observer can learn about the system from them. Such measurement-induced phases, and the phase transitions between them, are not manifest in simple correlation functions, but only in information-theoretic quantities that govern the performance of tasks like learning, simulation, or error correction.
This workshop will explore the mathematical physics of open quantum systems through the lenses of complexity, learning and error correction. Specific goals will include: (1) Studying the interplay of measurements, control and feedback to map out the landscape of new phases of matter that can be realized in open quantum system dynamics, (2) Understanding the relation between coding, mixed-state and measurement-induced phases, (3) Uncovering the consequences for information recovery, quantum error correction, learnability of quantum dynamics, and the complexity/hardness of simulating quantum dynamics. The emphasis of this workshop will be on exact methods and new mathematical tools and concepts that can be used to analyze mixed-state phases of matter.
Location
SwissMAP Research Station, Les Diablerets, Switzerland
