南京信息工程大学主页平台管理系统王友乐--中文主页-- Variational Quantum Gibbs State Preparation with a Truncated Taylor Series

论文成果

Variational Quantum Gibbs State Preparation with a Truncated Taylor Series

发布时间：2023-09-08点击次数：

发表刊物：Physical Review Applied
关键字：Variational quantum algorithm, quantum state preparation, Gibbs state
摘要：The preparation of a quantum Gibbs state is an essential part of quantum computation and has wide-ranging applications in various areas, including quantum simulation, quantum optimization, and quantum machine learning. In this paper, we propose variational hybrid quantum-classical algorithms for quantum Gibbs state preparation. We first utilize a truncated Taylor series to evaluate the free energy and choose the truncated free energy as the loss function. Our protocol then trains the parameterized quantum circuits to learn the desired quantum Gibbs state. Notably, this algorithm can be implemented on near-term quantum computers equipped with parameterized quantum circuits. By performing numerical experiments, we show that shallow parameterized circuits with only one additional qubit can be trained to prepare the Ising chain and spin chain Gibbs states with a fidelity higher than 95%. In particular, for the Ising chain model, we find that a simplified circuit ansatz with only one parameter and one additional qubit can be trained to realize a 99% fidelity in Gibbs state preparation at inverse temperatures larger than 2.
论文类型：期刊论文
是否译文：否
发表时间：2021-11-18
发布刊物链接：https://journals.aps.org/prapplied/abstract/10.1103/PhysRevApplied.16.054035

最后更新时间：--

访问量：