Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physics Reports

The nuclear shell model as a testing ground for many-body quantum chaos

Vladimir Zelevinsky, B. ALEX BROWN, Njema Frazier, Mihai Horoi

Published Nov 1, 1996• 436 citations
Publisher
DOI
10.1016/s0370-1573(96)00007-5

Related papers

Chaos vs Thermalization in Nuclear Shell Model

V. G. Zelevinsky, Mihai Horoi

•Jan 1, 1995•0 citations

Quantum interference vs. quantum chaos in the nuclear shell model

Gerardo Fernández, Edna M. Hernández, Mathieu Hautefeuille +6 more

In this paper we study the complexity of the nuclear states in terms of a two body quadupole-quadrupole interaction. Energy distributions and eigenvectors composition exhibit a visible interference pattern which is dependent on the intensity of the interaction. In analogy with optics, the visibility of the interference is related to the purity of the states, therefore, we show that the fluctuations associated with quantum chaos have as their origin the remaining quantum coherence with a visibility magnitude close to 5%.

Journal of Physics Conference Series•Jan 22, 2015•2 citations

Classical and quantum chaos in atomic nuclei

Pavel Stránský

•Jan 1, 2009•0 citations

Shadow-based quantum subspace algorithm for the nuclear shell model

Ruyu Yang, Tianren Wang, Bing-Nan Lu +2 more

In recent years, researchers have been exploring the applications of noisy intermediate-scale quantum (NISQ) computation in various fields. One important area in which quantum computation can outperform classical computers is the ground-state problem of a many-body system, e.g., the nucleus. However, using a quantum computer in the NISQ era to solve a meaningful-scale system remains a challenge. To calculate the ground energy of nuclear systems, we propose a new algorithm that combines classical shadow and subspace diagonalization techniques. Our subspace is composed of matrices, with the basis of the subspace being the classical shadow of the quantum state. We test our algorithm on nuclei described by the Cohen-Kurath shell model and USD shell model. We find that the accuracy of the results improves as the number of shots increases, following the Heisenberg scaling.

arXiv:2306.08885•Physical Review A•Jan 21, 2025•2 citations

Dynamical simulations of many-body quantum chaos on a quantum computer

Laurin E. Fischer, Matea Leahy, Andrew Eddins +16 more

arXiv:2411.00765•Nature Physics•Jan 20, 2026•16 citations

Chaos in quantum many-body systems

Gary E. Mitchell

Bulletin of the American Physical Society•Oct 28, 2006•1 citation
In this paper we study the complexity of the nuclear states in terms of a two body quadupole-quadrupole interaction. Energy distributions and eigenvectors composition exhibit a visible interference pattern which is dependent on the intensity of the interaction. In analogy with optics, the visibility of the interference is related to the purity of the states, therefore, we show that the fluctuations associated with quantum chaos have as their origin the remaining quantum coherence with a visibility magnitude close to 5%.
In recent years, researchers have been exploring the applications of noisy intermediate-scale quantum (NISQ) computation in various fields. One important area in which quantum computation can outperform classical computers is the ground-state problem of a many-body system, e.g., the nucleus. However, using a quantum computer in the NISQ era to solve a meaningful-scale system remains a challenge. To calculate the ground energy of nuclear systems, we propose a new algorithm that combines classical shadow and subspace diagonalization techniques. Our subspace is composed of matrices, with the basis of the subspace being the classical shadow of the quantum state. We test our algorithm on nuclei described by the Cohen-Kurath shell model and USD shell model. We find that the accuracy of the results improves as the number of shots increases, following the Heisenberg scaling.