Stabilization of Discrete Time-Crystaline Response on a Superconducting Quantum Computer by increasing the Interaction Range

This work presents a novel method for reproducing the dynamics of systems with couplings beyond nearest neighbors using a superconducting quantum processor. Quantum simulation of complex quantum many-body systems is a promising short-term goal of noisy intermediate-scale quantum (NISQ) devices. However, the limited connectivity of native qubits hinders the implementation of quantum algorithms that require long-range interactions. We show that utilizing the universality of quantum processor native gates allows the implementation of couplings among physically disconnected qubits. To demonstrate the effectiveness of our method, we implement a quantum simulation, on IBM quantum superconducting processors, of a Floquet-driven quantum spin chain featuring interactions beyond nearest neighbors. Specifically, we benchmark the prethermal stabilization of discrete Floquet time crystalline response as the interaction range increases, a phenomenon which was never experimentally observed before. Our method enables the study of systems with tunable interaction ranges, opening up new opportunities to explore the physics of long-range interacting quantum systems.

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