Quantum simulations of SO(5) many-fermion systems using qudits

Illa, Marc; Robin, Caroline E. P.; Savage, Martin J.

doi:10.1103/physrevc.108.064306

Cited by 6 publications

(1 citation statement)

References 146 publications

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“…Atomic nuclei are systems of interacting spin-1/2 fermions. As such, their simulation is a strong candidate for a possibly revolutionary treatment using quantum computation, as has been explored in nuclei [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] and other many-fermion systems [17][18][19]. A standard microscopic (treating nucleons as the degree of freedom) method to interpret observed states of nuclei is the configuration interaction nuclear shell model [20][21][22] in which nucleons interact in a defined single-particle basis to produce correlated eigenstates of a model Hamiltonian.…”

Section: Introductionmentioning

confidence: 99%

Shell-model study of ⁵⁸Ni using quantum computing algorithm

Bhoy,

Stevenson

2024

New J. Phys.

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This study presents a simulated quantum computing approach for the investigation into the shell-model energy levels of 58Ni through the application of the variational quantum eigensolver (VQE) method in combination with a problem-specific ansatz. The primary objective is to achieve a fully accurate low-lying energy spectrum of 58Ni. The chosen isotope, 58Ni is particularly interesting in nuclear physics through its role in astrophysical reactions while also being a simple but non-trivial nucleus for shell-model study, it being two particles outside a closed shell. Our ansatz, along with the VQE method are shown to be able to reproduce exact energy values for the ground state and first and second excited states. We compare a classical shell model code, the values obtained by diagonalization of the Hamiltonian after qubit mapping, and a noiseless simulated ansatz+VQE simulation. The exact agreement between classical and qubit-mapped diagonalization shows the correctness of our method, and the high accuracy of the simulation means that the ansatz is suitable to allow a full reconstruction of the full nuclear wave function.

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Section: Introductionmentioning

confidence: 99%

Shell-model study of ⁵⁸Ni using quantum computing algorithm

Bhoy,

Stevenson

2024

New J. Phys.

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Nuclear Physics in the Era of Quantum Computing and Quantum Machine Learning

García‐Ramos,

Sáiz,

Arias

et al. 2024

Adv Quantum Tech

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In this paper, the application of quantum simulations and quantum machine learning is explored to solve problems in low‐energy nuclear physics. The use of quantum computing to address nuclear physics problems is still in its infancy, and particularly, the application of quantum machine learning (QML) in the realm of low‐energy nuclear physics is almost nonexistent. Three specific examples are presented where the utilization of quantum computing and QML provides, or can potentially provide in the future, a computational advantage: i) determining the phase/shape in schematic nuclear models, ii) calculating the ground state energy of a nuclear shell model‐type Hamiltonian, and iii) identifying particles or determining trajectories in nuclear physics experiments.

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Realization of chiral two-mode Lipkin–Meshkov–Glick models via acoustics

Zhou,

Wang,

Cao

et al. 2024

Rep. Prog. Phys.

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The chirality-controlled two-mode Lipkin–Meshkov–Glick (LMG) models are mimicked in a potential hybrid quantum system, involving two ensembles of solid-state spins coupled to a pair of interconnected surface-acoustic-wave cavities. With the assistance of dichromatic classical optical drives featuring chiral designs, it can simulate two-mode LMG-type long-range spin-spin interactions with left-right asymmetry. For applications, this unconventional LMG model can not only engineer both ensembles of collective spins into two-mode spin-squeezed states but also simulate novel quantum critical phenomena and time crystal behaviors, among others. Since this acoustic-based system can generate ion-trap-like interactions without requiring any additional trapping techniques, our work is considered a fresh attempt at realizing chiral quantum manipulation of spin-spin interactions using acoustic hybrid systems.

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Quantum simulations of SO(5) many-fermion systems using qudits

Cited by 6 publications

References 146 publications

Shell-model study of ⁵⁸Ni using quantum computing algorithm

Shell-model study of ⁵⁸Ni using quantum computing algorithm

Nuclear Physics in the Era of Quantum Computing and Quantum Machine Learning

Realization of chiral two-mode Lipkin–Meshkov–Glick models via acoustics

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Quantum simulations of SO(5) many-fermion systems using qudits

Cited by 6 publications

References 146 publications

Shell-model study of 58Ni using quantum computing algorithm

Shell-model study of 58Ni using quantum computing algorithm

Nuclear Physics in the Era of Quantum Computing and Quantum Machine Learning

Realization of chiral two-mode Lipkin–Meshkov–Glick models via acoustics

Contact Info

Product

Resources

About

Shell-model study of ⁵⁸Ni using quantum computing algorithm

Shell-model study of ⁵⁸Ni using quantum computing algorithm