Quantum algorithms for the computation of quantum thermal averages at work

Riccardo Aiudi, Claudio Bonanno, Claudio Bonati, Giuseppe Clemente, Massimo D’Elia, Lorenzo Maio, Davide Rossini, Salvatore Tirone, Kevin Zambello · Physical review. D/Physical review. D. · 2023

Recently, a variety of quantum algorithms have been devised to estimate thermal averages on a genuine quantum processor. In this paper, we consider the practical implementation of the so-called Quantum-Quantum Metropolis Algorithm. As a test bed for this purpose, we simulate a basic system of three frustrated quantum spins and discuss its systematics, also in comparison with the Quantum Metropolis Sampling algorithm.

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