Qudit-native simulation of the Quantum Potts model
Maksim A. Gavreev,1,2, Evgeniy O. Kiktenko,1,2 Aleksey K. Fedorov,1,2 and Anastasiia S. Nikolaeva1,2; 1National University of Science and Technology “MISIS”, Moscow 119049, Russia; 2Russian Quantum Center, Skolkovo, Moscow 121205, Russia
Abstract
Simulating entangled, many-body quantum systems is notoriously hard, especially in the case of high-dimensional nature of underlying physical objects. In this work, we propose an approach for simulating the Potts model based on the Suzuki-Trotter decomposition that we construct for qudit systems. Specifically, we introduce two qudit-native decomposition schemes: (i) the first utilizes Mølmer–Sørensen gate and additional local levels to encode the Potts interactions , while (ii) the second employs an light-shift gate that naturally fits qudit architectures. These decompositions enable a direct and efficient mapping of the Potts model dynamics into hardware-efficient qudit gate sequences for trapped-ion platform. Furthermore, we demonstrate the use of a Suzuki–Trotter approximation with our evolution-into-gates framework, for detecting the dynamical quantum phase transition. Our results establish a pathway toward qudit-based digital quantum simulation of many-body models and provide a new perspective on probing nonanalytic behavior in high-dimensional quantum many-body models.
Speaker
Gavreev Maksim
Russian Quantum Center
Russia
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