摘要
The physical world is inherently out of equilibrium,and understanding the non-equilibrium behavior of quantum many-body systems remains a key open challenge in condensed matter physics.Recent advances in quantum computing platforms,such as Rydberg atoms and superconducting qubits,have opened promising avenues for studying non-equilibrium dynamics of many-particle systems using quantum simulators.In this work,we propose a benchmark scheme for validating the dynamical evolution outcomes of future large-scale qubit systems,which far exceeds the capability of classical numerical benchmark.Based on the J_(1)–J_(2)Heisenberg model,we provide tunable analytical results including quantum walk dynamics,the out-of-time-ordered correlator(OTOC),and the butterfly velocity.Furthermore,taking IBM’s programmable quantum platform as an example,we design a scheme for simulating quantum walk dynamics and experimentally demonstrate the feasibility of benchmarking with our proposed dynamical observables.
基金
supported by the National Key Research and Development Program of China(Grant No.2022YFA1405300)
Guangdong Provincial Quantum Science Strategic Initiative(Grant No.GDZX2204003)
Innovation Program for Quantum Science and Technology(Grant No.2021ZD0301700)
the Guangdong Basic and Applied Basic Research Foundation(Grant No.2021A1515012350)
Guangdong Provincial Quantum Science Strategic Initiative(Grants No.GDZX2304002 and GDZX2404001)
the Open Fund of Key Laboratory of Atomic and Subatomic Structure and Quantum Control(Ministry of Education)
the National Natural Science Foundation of China(Grant No.12405034).
