Programmable silicon-photonic quantum simulator based on a linear combination of unitaries  

作　　者：YUE YU YULIN CHI CHONGHAO ZHAI JIESHAN HUANG QIHUANG GONG JIANWEI WANG 

机构地区：[1]State Key Laboratory for Mesoscopic Physics,School of Physics,Peking University,Beijing 100871,China [2]Frontiers Science Center for Nano-optoelectronics&Collaborative Innovation Center of Quantum Matter,Peking University,Beijing 100871,China [3]Collaborative Innovation Center of Extreme Optics,Shanxi University,Taiyuan 030006,China [4]Yangtze Delta Institute of Optoelectronics,Peking University,Nantong 226010,China [5]Hefei National Laboratory,Hefei 230088,China [6]Department of Electrical and Computer Engineering,University of Washington,Seattle,Washington 98195,USA [7]China Mobile Research Institute,Beijing 100053,China

出　　处：《Photonics Research》2024年第8期1760-1767,共8页光子学研究（英文版）

基　　金：Innovation Program for Quantum Science and Technology(2021ZD0301500);Key R&D Program of Guangdong Province(2018B030329001);Beijing Natural Science Foundation(Z190005,Z220008);National Natural Science Foundation of China(12325410,61975001,62235001);National Key Research and Development Program of China(2019YFA0308702)。

摘　　要：Simulating the dynamic evolution of physical and molecular systems in a quantum computer is of fundamental interest in many applications.The implementation of dynamics simulation requires efficient quantum algorithms.The Lie-Trotter-Suzuki approximation algorithm,also known as the Trotterization,is basic in Hamiltonian dynamics simulation.A multi-product algorithm that is a linear combination of multiple Trotterizations has been proposed to improve the approximation accuracy.However,implementing such multiproduct Trotterization in quantum computers remains challenging due to the requirements of highly controllable and precise quantum entangling operations with high success probability.Here,we report a programmable integrated-photonic quantum simulator based on a linear combination of unitaries,which can be tailored for implementing the linearly combined multiple Trotterizations,and on the simulator we benchmark quantum simulation of Hamiltonian dynamics.We modify the multi-product algorithm by integrating it with oblivious amplitude amplification to simultaneously reach high simulation precision and high success probability.The quantum simulator is devised and fabricated on a large-scale silicon-photonic quantum chip,which allows the initialization,manipulation,and measurement of arbitrary four-qubit states and linearly combined unitary gates.As an example,the quantum simulator is reprogrammed to emulate the dynamics of an electron spin and nuclear spin coupled system.This work promises the practical dynamics simulations of real-world physical and molecular systems in future large-scale quantum computers.

关 键 词：QUANTUM HAMILTONIAN LINEARLY 

分 类 号：TP38[自动化与计算机技术—计算机系统结构]