6 papers
Modified logarithmic Sobolev inequalities for Abelian quantum double models
Sebastian Stengele, Ãngela Capel, Li Gao +5
We establish rapid mixing for Davies Markov semigroups associated with 2D Abelian quantum double models at any positive temperature. A condition of Dobrushin-Shlosman (DS) type hol…
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…
Two-Indexed Schatten Quasi-Norms with Applications to Quantum Information Theory
Jan Kochanowski, Omar Fawzi, Cambyse Rouzé
We define 2-indexed -Schatten quasi-norms for any on operators on a tensor product of Hilbert spaces, naturally extending the norms defined by Pisier's theory of o…
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…
Certifying and learning local quantum Hamiltonians
Andreas Bluhm, Matthias C. Caro, Francisco Escudero Gutiérrez +4
In this work, we study the problems of certifying and learning quantum -local Hamiltonians, for a constant . Our main contributions are as follows: - Certification of Hamilto…