http://swrc.ontoware.org/ontology#TechnicalReport
Simulating Time Evolution with Fully Optimized Single-Qubit Gates on Parameterized Quantum Circuits
en
Department of Applied Physics and Physico-Informatics, Keio University
IBM Quantum, IBM Japan／Quantum Computing Center, Keio University
Materials Informatics Initiative, RD Technology & Digital Transformation Center, JSR Corporation／Quantum Computing Center, Keio University
Quantum Computing Center, Keio University／JST PRESTO
Quantum Computing Center, Keio University
Quantum Computing Center, Keio University／Department of Applied Physics and Physico-Informatics, Keio University
Quantum Computing Center, Keio University
Kaito Wada
Rudy Raymond
Yu-ya Ohnishi
Eriko Kaminishi
Michihiko Sugawara
Naoki Yamamoto
Hiroshi C. Watanabe
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.
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-5
26
1-11
2022-03-17
2435-6492