Quantum generalizations of Glauber and Metropolis dynamics

Understand

Classical Markov Chain Monte Carlo methods have been essential for simulating statistical physical systems and have proven well applicable to other systems with many degrees of freedom.

• Motivated by the statistical physics origins, Chen, Kastoryano, and Gily\'en [CKG23] proposed a continuous-time quantum thermodynamic analogue to Glauber dynamics that is (i) exactly detailed balanced, (ii) efficiently implementable, and (iii) quasi-local for geometrically local systems.
• Physically, their construction resembles the dissipative dynamics arising from weak system-bath interaction.
• In this work, we give an efficiently implementable discrete-time counterpart to any continuous-time quantum Gibbs sampler.