ADAPT-QSCI: Adaptive Construction of an Input State for Quantum-Selected Configuration Interaction

Fuente: arXiv
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Auteurs principaux: Nakagawa, Yuya O., Kamoshita, Masahiko, Mizukami, Wataru, Sudo, Shotaro, Ohnishi, Yu-ya
Format: Preprint
Publié: 2023
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author Nakagawa, Yuya O.
Kamoshita, Masahiko
Mizukami, Wataru
Sudo, Shotaro
Ohnishi, Yu-ya
author_facet Nakagawa, Yuya O.
Kamoshita, Masahiko
Mizukami, Wataru
Sudo, Shotaro
Ohnishi, Yu-ya
contents We present a quantum-classical hybrid algorithm for calculating the ground state and its energy of the quantum many-body Hamiltonian by proposing an adaptive construction of a quantum state for the quantum-selected configuration interaction (QSCI) method. QSCI allows us to select important electronic configurations in the system to perform CI calculation (subspace diagonalization of the Hamiltonian) by sampling measurement for a proper input quantum state on a quantum computer, but how we prepare a desirable input state has remained a challenge. We propose an adaptive construction of the input state for QSCI in which we run QSCI repeatedly to grow the input state iteratively. We numerically illustrate that our method, dubbed ADAPT-QSCI, can yield accurate ground-state energies for small molecules, including a noisy situation for eight qubits where error rates of two-qubit gates and the measurement are both as large as 1%. ADAPT-QSCI serves as a promising method to take advantage of current noisy quantum devices and pushes forward its application to quantum chemistry.
format Preprint
id arxiv_https___arxiv_org_abs_2311_01105
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle ADAPT-QSCI: Adaptive Construction of an Input State for Quantum-Selected Configuration Interaction
Nakagawa, Yuya O.
Kamoshita, Masahiko
Mizukami, Wataru
Sudo, Shotaro
Ohnishi, Yu-ya
Quantum Physics
We present a quantum-classical hybrid algorithm for calculating the ground state and its energy of the quantum many-body Hamiltonian by proposing an adaptive construction of a quantum state for the quantum-selected configuration interaction (QSCI) method. QSCI allows us to select important electronic configurations in the system to perform CI calculation (subspace diagonalization of the Hamiltonian) by sampling measurement for a proper input quantum state on a quantum computer, but how we prepare a desirable input state has remained a challenge. We propose an adaptive construction of the input state for QSCI in which we run QSCI repeatedly to grow the input state iteratively. We numerically illustrate that our method, dubbed ADAPT-QSCI, can yield accurate ground-state energies for small molecules, including a noisy situation for eight qubits where error rates of two-qubit gates and the measurement are both as large as 1%. ADAPT-QSCI serves as a promising method to take advantage of current noisy quantum devices and pushes forward its application to quantum chemistry.
title ADAPT-QSCI: Adaptive Construction of an Input State for Quantum-Selected Configuration Interaction
topic Quantum Physics
url https://arxiv.org/abs/2311.01105