Quantum computers have demonstrable ability to solve problems at a scale beyond brute-
force classical simulation. Interest in quantum algorithms has developed in many areas …

We consider two related tasks:(a) estimating a parameterisation of a given Gibbs state and
expectation values of Lipschitz observables on this state;(b) learning the expectation values …

The thermal or equilibrium ensemble is one of the most ubiquitous states of matter. For
models comprised of many locally interacting quantum particles, it describes a wide range of …

Abstract Quantum Boltzmann machines (QBMs) are machine-learning models for both
classical and quantum data. We give an operational definition of QBM learning in terms of …

The preparation and computation of many properties of quantum Gibbs states is essential for
algorithms such as quantum semidefinite programming and quantum Boltzmann machines …

Recent progress in the development of quantum technologies has enabled the direct
investigation of the dynamics of increasingly complex quantum many-body systems. This …

Predicting observables in equilibrium states is a central yet notoriously hard question in
quantum many-body systems. In the physically relevant thermodynamic limit, certain …

We address the long-standing question of the computational complexity of determining
homology groups of simplicial complexes, a fundamental task in computational topology …

A promising avenue for the preparation of Gibbs states on a quantum computer is to
simulate the physical thermalization process. The Davies generator describes the dynamics …

We generalize the notion of quantum state designs to infinite-dimensional spaces. We first
prove that, under the definition of continuous-variable (CV) state t-designs from [Blume …