2023-09-27T19:54:20Zhttps://ipsj.ixsq.nii.ac.jp/ej/?action=repository_oaipmhoai:ipsj.ixsq.nii.ac.jp:002176482023-04-27T10:00:04Z01164:10193:10905:10906
Simulating Time Evolution with Fully Optimized Single-Qubit Gates on Parameterized Quantum CircuitsSimulating Time Evolution with Fully Optimized Single-Qubit Gates on Parameterized Quantum Circuitsenghttp://id.nii.ac.jp/1001/00217540/Technical Reporthttps://ipsj.ixsq.nii.ac.jp/ej/?action=repository_action_common_download&item_id=217648&item_no=1&attribute_id=1&file_no=1Copyright (c) 2022 by the Information Processing Society of JapanDepartment of Applied Physics and Physico-Informatics, Keio UniversityIBM Quantum, IBM Japan／Quantum Computing Center, Keio UniversityMaterials Informatics Initiative, RD Technology & Digital Transformation Center, JSR Corporation／Quantum Computing Center, Keio UniversityQuantum Computing Center, Keio University／JST PRESTOQuantum Computing Center, Keio UniversityQuantum Computing Center, Keio University／Department of Applied Physics and Physico-Informatics, Keio UniversityQuantum Computing Center, Keio UniversityKaito, WadaRudy, RaymondYu-ya, OhnishiEriko, KaminishiMichihiko, SugawaraNaoki, YamamotoHiroshi, C. WatanabeWe propose a novel method to sequentially optimize arbitrary single-qubit gates in parameterized quantum circuits for simulating real and imaginary time evolution. The method utilizes full degrees of freedom of single-qubit gates and therefore can potentially obtain better performance. Specifically, it simultaneously optimizes both the axis and the angle of a single-qubit gate, while the known methods either optimize the angle with the axis fixed, or vice versa. Furthermore, we demonstrate how it can be extended to optimize a set of parameterized two-qubit gates with excitation-conservation constraints. We perform numerical experiments showing the power of the proposed method to find ground states of typical Hamiltonians with quantum imaginary time evolution using parameterized quantum circuits. In addition, we show the method can be applied to real time evolution and discuss the tradeoff between its simulation accuracy and hardware efficiency.We propose a novel method to sequentially optimize arbitrary single-qubit gates in parameterized quantum circuits for simulating real and imaginary time evolution. The method utilizes full degrees of freedom of single-qubit gates and therefore can potentially obtain better performance. Specifically, it simultaneously optimizes both the axis and the angle of a single-qubit gate, while the known methods either optimize the angle with the axis fixed, or vice versa. Furthermore, we demonstrate how it can be extended to optimize a set of parameterized two-qubit gates with excitation-conservation constraints. We perform numerical experiments showing the power of the proposed method to find ground states of typical Hamiltonians with quantum imaginary time evolution using parameterized quantum circuits. In addition, we show the method can be applied to real time evolution and discuss the tradeoff between its simulation accuracy and hardware efficiency.AA12894105量子ソフトウェア（QS）2022-QS-5261112022-03-172435-64922022-03-16