Towards simulating time evolution of specific quantum many-body system by lower counts of quantum gates

¹ School of Physical Sciences, University of Chinese Academy of Sciences - Beijing 100049, China
² Southern University of Science and Technology - Shenzhen 518055, China
³ School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences Beijing 100049, China
⁴ CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences Beijing 100190, China

^(b) E-mail: jianguanlin17@mails.ucas.ac.cn (corresponding author)
^(c) E-mail: zgzhu@ucas.ac.cn
^(d) E-mail: wangzc@ucas.ac.cn

Received: 19 August 2022
Accepted: 20 December 2022

Abstract

In the noisy intermediate-scale quantum (NISQ) era, quantum computers have become important tools to simulate the real-time evolution of strong correlated many-body systems. The general scheme of designing quantum circuits to simulate the quantum dynamics is based on the Trotter-Suzuki decomposition technique, which has its limitation because the accuracy of evolution process depends on the size of trotter steps when the evolution operator is decomposed as quantum gates. Going beyond the limitation of the Trotter-Suzuki scheme, we design a parameterized quantum circuit named α-circuit with simple determined size and the only one control parameter θ to simulate the real-time evolution of the specific XXX Heisenberg model with the specific initial state . The α-circuit can accurately generate the time-evolution results by tuning parameter θ, which means the circuit can also be regarded as a good state preparation machine (SPM).