4 papers
Computing the free energy of quantum Coulomb gases and molecules via quantum Gibbs sampling
Simon Becker, Cambyse Rouzé, Robert Salzmann
We develop a quantum algorithm for estimating the free energy as well as the total Gibbs state of interacting quantum Coulomb gases and molecular systems in dimensions $d \in \{2,3…
Simulating Thermal Properties of Bose-Hubbard Models on a Quantum Computer
Simon Becker, Cambyse Rouzé, Robert Salzmann
While recent advances have established efficient quantum algorithms for preparing Gibbs states of finite-dimensional systems, comparable complexity results for bosonic and other in…
Quantum Gibbs Sampling in Infinite Dimensions: Generation, Mixing Times and Circuit Implementation
Simon Becker, Cambyse Rouzé, Robert Salzmann
We develop a rigorous and implementable framework for Gibbs sampling of infinite-dimensional quantum systems governed by unbounded Hamiltonians. Extending dissipative Gibbs sampler…
Convergence Rates for the Trotter Splitting for Unbounded Operators
Simon Becker, Niklas Galke, Robert Salzmann +1
We study convergence rates of the Trotter splitting in the strong operator topology. In the first part, we use complex interpola…