Extending Circuit-Based Definition of Quantum Phases to Gibbs States

Explore how circuit-based definitions of quantum phases can be extended to thermal equilibrium states in this 49-minute conference talk by Shengqi Sang from Stanford University. Delve into the theoretical framework that bridges quantum phase classification with finite-temperature Gibbs states, examining how traditional zero-temperature quantum phase concepts adapt to thermal environments. Learn about the mathematical foundations and physical implications of this extension, including how thermal fluctuations affect quantum phase boundaries and the emergence of new phase structures at finite temperatures. Discover the connections between quantum error correction, fault-tolerance, and the stability of quantum phases in noisy environments, with particular emphasis on how these concepts apply to programmable quantum computing platforms and near-term quantum devices. Gain insights into the intersection of quantum many-body physics and quantum information theory, understanding how thermal states challenge conventional notions of quantum phases and what this means for the realization of quantum error correction in practical quantum systems.