Quantum trajectory simulation of two-dimensional non-equilibrium steady states with a trapped ion quantum processor

• URL: http://arxiv.org/abs/2605.08350v1
• Date: Fri, 08 May 2026 18:01:12 GMT
• Title: Quantum trajectory simulation of two-dimensional non-equilibrium steady states with a trapped ion quantum processor
• Abstract summary: We experimentally realise quantum trajectories for a two-dimensional system of bosons driving at a source and drain at opposite corners of a square lattice.<n>We study the non-equilibrium steady state with persistent current resulting from the this in/out flow of particles.<n>Our findings highlight the rich physics in this corner driven two-dimensional setup and showcases both the power and current limitations of quantum computers as a platform to study it.
• Score: 0.007487540813626397
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Digital quantum computers offer a promising route for studying complex many-body systems that are otherwise inaccessible by their classical counterparts. Capabilities including mid-circuit measurements and feedback allow for simulating the dynamics of interacting open quantum systems. Using the Quantinuum System Model H1 trapped-ion quantum computer, we experimentally realise quantum trajectories for a two-dimensional system of (interacting) particles-hard-core bosons or fermions-undergoing stochastic driving at a source and drain at opposite corners of a square lattice. We study the non-equilibrium steady state with persistent current resulting from the this in/out flow of particles. The particle statistics, presence of interactions, and introduction of a magnetic field produce measurable effects on the steady state. Our findings highlight the rich physics in this corner driven two-dimensional setup and showcases both the power and current limitations of quantum computers as a platform to study it.

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