Matthew Hagan, Nathan Wiebe (Feb 06 2025).
Abstract: In this work we investigate a model of thermalization wherein a single ancillary qubit randomly interacts with the system to be thermalized. This not only sheds light on the emergence of Gibbs states in nature, but also provides a routine for preparing arbitrary thermal states on a digital quantum computer. For desired
β and random interaction
G the routine boils down to time independent Hamiltonian simulation and is represented by the channel
Φ:ρ