Simulation of an absorbing state non-equilibrium phase transition on a trapped ion quantum computer

Quantum computers have the potential to perform simulations of many interacting quantum particles more efficiently than classical computers. Open quantum systems, exhibiting dissipation in addition to unitary dynamics, can be difficult to simulate classically and can give rise to rich non-equilibrium behavior. Recently, a class of open systems with fluctuation-less absorbing states has been studied numerically and shown to exhibit a non-equilibrium phase transition even in one-dimension [1]. Using the high-fidelity mid-circuit measurement and qubit re-use capabilities of a Honeywell trapped ion quantum computer [2], we simulate an open quantum system with an absorbing state transition. In this talk, we present our experimental study probing the non-equilibrium phase transition in this model.

 

[1] F. Carollo, E. Gillman, H. Weimer, I. Lesanovsky. Phys. Rev. Lett. 123, 100604 (2019).

[2] J.M. Pino, J.M. Dreiling, C. Figgatt, J.P. Gaebler, S.A. Moses, M.S. Allman, C.H. Baldwin, M. Foss-Feig, D. Hayes, K. Mayer, C. Ryan-Anderson, and B. Neyenhuis. Nature 592, 209 (2021).