Over half a century ago, it was realized that quantum and statistical field theories are intimately related, both at the formal and physical levels. Quantum critical phenomena provide examples where quantum systems are frequently mapped onto classical systems, while non-equilibrium statistical mechanics provides an example of proceeding in the other direction via stochastic operator techniques. We are now witnessing a similar phenomenon in the areas of classical and quantum information theory, where methods and concepts of many-body physics are found to be the common element for seemingly different problems such as quantum and classical spin glasses and quantum and classical error correcting codes.
Our workshop will explore and exploit these developments, inviting leading experts to discuss the latest problems and techniques of interest. We intend to explore various questions at the interface of these fields such as, to name a very few, possible new behaviors in quantum spin glasses due to entanglement and the role of message passing algorithms for quantum systems, both for decoding of error correcting codes and for finding ground and thermal states. This conference will bring together experts from classical and quantum information theory, statistical physics and computer science, in order to improve communication and contribute to a coherent description of this class of problems.