Simultaneous determination of multiple low-lying energy levels on a superconducting quantum processor

2026-01-30 10:55 17 浏览
Determining the ground and low-lying excited states is critical in numerous scenarios. Recent work has proposed the ancilla-entangled 
variational quantum  eigensolver (AEVQE) that utilizes entanglement between ancilla and physical qubits to simultaneously tagert multiple 
low-lying energy levels. In this work, we  report the experimental implementation of the AEVQE on a superconducting quantum cloud platform,
 demonstrating the full procedure of solving the low-lying  energy levels of the H molecule and the transverse-field Ising models (TFIMs). We 
obtain the potential energy curves of H and show an indication of the  ferromagnetic to paramagnetic phase transition in the TFIMs from the 
average absolute magnetization. Moreover, we investigate multiple factors that affect  the algorithmic performance and provide a comparison
 with ancilla-free VQE algorithms. Our work demonstrates the experimental feasibility of the AEVQE  algorithm and offers a guidance for the 
VQE approach in solving realistic problems on publicly-accessible quantum platforms.  

Link to the article is here.