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Autores principales: Mumma, Darin C., Sun, Zhonghao, Mercenne, Alexis, Launey, Kristina D., Rethinasamy, Soorya, Sauls, James A.
Formato: Preprint
Publicado: 2024
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Acceso en línea:https://arxiv.org/abs/2412.06979
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author Mumma, Darin C.
Sun, Zhonghao
Mercenne, Alexis
Launey, Kristina D.
Rethinasamy, Soorya
Sauls, James A.
author_facet Mumma, Darin C.
Sun, Zhonghao
Mercenne, Alexis
Launey, Kristina D.
Rethinasamy, Soorya
Sauls, James A.
contents Solving atomic nuclei from first principles places enormous demands on computational resources, which grow exponentially with increasing number of particles and the size of the space they occupy. We present first quantum simulations based on the variational quantum eigensolver for the low-lying structure of the $^{12}$C nucleus that provide acceptable bound-state energies even in the presence of noise. We achieve this by taking advantage of two critical developments. First, we utilize an almost perfect symmetry of atomic nuclei that, in a complete symmetry-adapted basis, drastically reduces the size of the model space. Second, we use the efficacious Gray encoding, for which it has been recently shown that it is resource efficient, especially when coupled with a near band-diagonal structure of the nuclear Hamiltonian.
format Preprint
id arxiv_https___arxiv_org_abs_2412_06979
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Efficacious qubit mappings for quantum simulations of the $^{12}$C rotational band
Mumma, Darin C.
Sun, Zhonghao
Mercenne, Alexis
Launey, Kristina D.
Rethinasamy, Soorya
Sauls, James A.
Quantum Physics
Nuclear Theory
Solving atomic nuclei from first principles places enormous demands on computational resources, which grow exponentially with increasing number of particles and the size of the space they occupy. We present first quantum simulations based on the variational quantum eigensolver for the low-lying structure of the $^{12}$C nucleus that provide acceptable bound-state energies even in the presence of noise. We achieve this by taking advantage of two critical developments. First, we utilize an almost perfect symmetry of atomic nuclei that, in a complete symmetry-adapted basis, drastically reduces the size of the model space. Second, we use the efficacious Gray encoding, for which it has been recently shown that it is resource efficient, especially when coupled with a near band-diagonal structure of the nuclear Hamiltonian.
title Efficacious qubit mappings for quantum simulations of the $^{12}$C rotational band
topic Quantum Physics
Nuclear Theory
url https://arxiv.org/abs/2412.06979