6 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…
Composite Classical and Quantum Channel Discrimination
Bjarne Bergh, Nilanjana Datta, Robert Salzmann
We study the problem of binary composite channel discrimination in the asymmetric setting, where the hypotheses are given by fairly arbitrary sets of channels, and samples do not h…
An invitation to the sample complexity of quantum hypothesis testing
Hao-Chung Cheng, Nilanjana Datta, Nana Liu +3
Quantum hypothesis testing (QHT) has been traditionally studied from the information-theoretic perspective, wherein one is interested in the optimal decay rate of error probabiliti…