Stabilization of discrete time-crystalline response on a superconducting quantum computer by increasing the interaction range
Year: 2024
Authors: Solfanelli A., Ruffo S., Succi S., Defenu N.
Autors Affiliation: SISSA, via Bonomea 265, I-34136 Trieste, Italy; INFN, Sez Trieste, Via Valerio 2, I-34127 Trieste, Italy; Italian Inst Technol, Ctr Life Nanoneuro Sci Sapienza, I-00161 Rome, Italy; Ist Sistemi Complessi, Via Madonna Piano 10, I-50019 Sesto Fiorentino, Italy; Harvard Univ, Phys Dept, Oxford St 17, Cambridge, MA USA; Swiss Fed Inst Technol, Inst Theoret Phys, Wolfgang Pauli Str 27, Zurich, Switzerland.
Abstract: The simulation of complex quantum many-body systems is a promising short-term goal of noisy intermediatescale quantum (NISQ) devices. However, the limited connectivity of native qubits hinders the implementation of quantum algorithms that require long-range interactions. We present the outcomes of a digital quantum simulation where we overcome the limitations of the qubit connectivity in NISQ devices. Utilizing the universality of quantum processor native gates, we demonstrate how to implement couplings among physically disconnected qubits at the cost of increasing the circuit depth. We apply this method to simulate a Floquet-driven quantum spin chain featuring interactions beyond nearest neighbors. Specifically, we benchmark the prethermal stabilization of the discrete Floquet time-crystalline response as the interaction range increases, a phenomenon never observed experimentally. Our quantum simulation addresses one of the significant limitations of superconducting quantum processors, namely, device connectivity. It reveals that nontrivial physics involving couplings beyond nearest neighbors can be extracted after the impact of noise is properly taken into account in the theoretical model and consequently mitigated from the experimental data.
Journal/Review: PHYSICAL REVIEW RESEARCH
Volume: 6 (1) Pages from: 13311-1 to: 13311-12
More Information: N.D. acknowledges funding by the Swiss National Science Foundation (SNSF) under project funding ID: 200021 207537 and by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under G ermany’s Excellence Strategy EXC2181/1-390900948 (the Heidelberg STRUCTURES Excellence Cluster) . This work is part of the MIUR-PRIN2017 project, Coarse -Grained Description for Nonequilibrium Systems and Transport Phenomena (CO -NEST) No. 201798CZL. A.S. and S.S. acknowledge financial support from the National Centre for HPC, Big Data and Quantum Computing (Spoke 10, CN00000013) . Access to the IBM Quantum Computers was obtained through the IBM Quantum Hub at CERN with which the Italian Institute of Technology (IIT) is affiliated.KeyWords: SimulationDOI: 10.1103/PhysRevResearch.6.013311