Quantum magic and multipartite entanglement in the structure of nuclei

Brökemeier, Florian; Hengstenberg, S. Momme; Keeble, James W. T.; Robin, Caroline E. P.; Rocco, Federico; Savage, Martin J.

doi:10.1103/PhysRevC.111.034317

Quantum magic and multipartite entanglement in the structure of nuclei

Journal Article · Tue Mar 11 00:00:00 EDT 2025 · Physical Review. C

DOI:https://doi.org/10.1103/PhysRevC.111.034317· OSTI ID:2530434

; ; ; ; ;

Motivated by the Gottesman-Knill theorem, we present a detailed study of the quantum complexity of $p$ -shell and $s d$ -shell nuclei. Valence-space nuclear shell-model wave functions generated by the code are mapped to qubit registers using the Jordan-Wigner mapping (12 qubits for the $p$ shell and 24 qubits for the $s d$ shell), from which measures of the many-body entanglement ( $n$ -tangles) and magic (nonstabilizerness) are determined. While exact evaluations of these measures are possible for nuclei with a modest number of active nucleons, Monte Carlo simulations are required for the more complex nuclei. The broadly applicable Pauli-string $\hat{I} \hat{Z}$ exact (PSIZe) Markov chain Monte Carlo (MCMC) technique is introduced to accelerate the evaluation of measures of magic in deformed nuclei (with hierarchical wave functions), by factors of $\approx 8$ for some nuclei. Significant multinucleon entanglement is found in the $s d$ shell, dominated by proton-neutron configurations, along with significant measures of magic. This is evident not only for the deformed states, but also for nuclei on the path to instability via regions of shape coexistence and level inversion. These results indicate that quantum-computing resources will accelerate precision simulations of such nuclei and beyond.

Published by the American Physical Society 2025

View Journal Article

Research Organization:: University of Washington, Seattle, WA (United States)

Sponsoring Organization:: National Energy Research Scientific Computing Center (NERSC); USDOE; USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-05CH11231; SC0020970

OSTI ID:: 2530434

Alternate ID(s):: OSTI ID: 2540124

Report Number(s):: [IQuS@UW-21--088; 034317

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 3 Vol. 111; ISSN PRVCAN; ISSN 2469-9985

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (143)

Fermionic Quantum Computation Bravyi, Sergey B.; Kitaev, Alexei Yu. Annals of Physics, Vol. 298, Issue 1 https://doi.org/10.1006/aphy.2002.6254	journal	May 2002
Groundstate properties of a generalized VBS-model Kl�mper, A.; Schadschneider, A.; Zittartz, J. Zeitschrift f�r Physik B Condensed Matter, Vol. 87, Issue 3 https://doi.org/10.1007/BF01309281	journal	October 1992
Finitely correlated states on quantum spin chains Fannes, M.; Nachtergaele, B.; Werner, R. F. Communications in Mathematical Physics, Vol. 144, Issue 3 https://doi.org/10.1007/BF02099178	journal	March 1992
Entanglement in Few-Nucleon Scattering Events Kirchner, Tanja; Elkamhawy, Wael; Hammer, Hans-Werner Few-Body Systems, Vol. 65, Issue 2 https://doi.org/10.1007/s00601-024-01897-2	journal	March 2024
The n-tangle of odd n qubits Li, Dafa Quantum Information Processing, Vol. 11, Issue 2 https://doi.org/10.1007/s11128-011-0256-8	journal	July 2011
Effective interactions for the 1p shell Cohen, S.; Kurath, D. Nuclear Physics, Vol. 73, Issue 1 https://doi.org/10.1016/0029-5582(65)90148-3	journal	November 1965
Geometry and entanglement in the scattering matrix Beane, Silas R.; Farrell, Roland C. Annals of Physics, Vol. 433 https://doi.org/10.1016/j.aop.2021.168581	journal	October 2021
Factorization in large-scale many-body calculations Johnson, Calvin W.; Ormand, W. Erich; Krastev, Plamen G. Computer Physics Communications, Vol. 184, Issue 12 https://doi.org/10.1016/j.cpc.2013.07.022	journal	December 2013
Energy levels of light nuclei Tilley, D. R.; Kelley, J. H.; Godwin, J. L. Nuclear Physics A, Vol. 745, Issue 3-4 https://doi.org/10.1016/j.nuclphysa.2004.09.059	journal	December 2004
Quadrupole collectivity of 28Ne and the boundary of the island of inversion Iwasaki, H.; Motobayashi, T.; Sakurai, H. Physics Letters B, Vol. 620, Issue 3-4 https://doi.org/10.1016/j.physletb.2005.06.032	journal	August 2005
Intruder configurations in 29Ne at the transition into the island of inversion: Detailed structure study of 28Ne Wang, H.; Yasuda, M.; Kondo, Y. Physics Letters B, Vol. 843 https://doi.org/10.1016/j.physletb.2023.138038	journal	August 2023
Combining the in-medium similarity renormalization group with the density matrix renormalization group: Shell structure and information entropy Tichai, A.; Knecht, S.; Kruppa, A. T. Physics Letters B, Vol. 845 https://doi.org/10.1016/j.physletb.2023.138139	journal	October 2023
Spin entanglement in neutron-proton scattering Bai, Dong Physics Letters B, Vol. 845 https://doi.org/10.1016/j.physletb.2023.138162	journal	October 2023
Spectroscopy of N = 50 isotones with the valence-space density matrix renormalization group Tichai, A.; Kapás, K.; Miyagi, T. Physics Letters B, Vol. 855 https://doi.org/10.1016/j.physletb.2024.138841	journal	August 2024
Hints of entanglement suppression in hyperon-nucleon scattering Liu, Qiaofeng; Low, Ian Physics Letters B, Vol. 856 https://doi.org/10.1016/j.physletb.2024.138899	journal	September 2024
Nuclear clusters and nuclear molecules Vonoertzen, W.; Freer, M.; Kanadaenyo, Y. Physics Reports, Vol. 432, Issue 2 https://doi.org/10.1016/j.physrep.2006.07.001	journal	September 2006
Parallel quantum simulation of large systems on small NISQ computers Barratt, F.; Dborin, James; Bal, Matthias npj Quantum Information, Vol. 7, Issue 1 https://doi.org/10.1038/s41534-021-00420-3	journal	May 2021
Measuring magic on a quantum processor Oliviero, Salvatore F. E.; Leone, Lorenzo; Hamma, Alioscia npj Quantum Information, Vol. 8, Issue 1 https://doi.org/10.1038/s41534-022-00666-5	journal	December 2022
Holographic dynamics simulations with a trapped-ion quantum computer Chertkov, Eli; Bohnet, Justin; Francois, David Nature Physics, Vol. 18, Issue 9 https://doi.org/10.1038/s41567-022-01689-7	journal	August 2022
Logical quantum processor based on reconfigurable atom arrays Bluvstein, Dolev; Evered, Simon J.; Geim, Alexandra A. Nature, Vol. 626, Issue 7997 https://doi.org/10.1038/s41586-023-06927-3	journal	December 2023
Nuclear shell-model simulation in digital quantum computers Pérez-Obiol, A.; Romero, A. M.; Menéndez, J. Scientific Reports, Vol. 13, Issue 1 https://doi.org/10.1038/s41598-023-39263-7	journal	July 2023
The Bravyi-Kitaev transformation for quantum computation of electronic structure Seeley, Jacob T.; Richard, Martin J.; Love, Peter J. The Journal of Chemical Physics, Vol. 137, Issue 22 https://doi.org/10.1063/1.4768229	journal	December 2012
The Monte Carlo Method Metropolis, Nicholas; Ulam, S. Journal of the American Statistical Association, Vol. 44, Issue 247 https://doi.org/10.1080/01621459.1949.10483310	journal	September 1949
The density matrix renormalization group for finite fermi systems Dukelsky, Jorge; Pittel, Stuart Reports on Progress in Physics, Vol. 67, Issue 4 https://doi.org/10.1088/0034-4885/67/4/R02	journal	March 2004
Density matrix renormalization group and wavefunction factorization for nuclei Papenbrock, T.; Dean, D. J. Journal of Physics G: Nuclear and Particle Physics, Vol. 31, Issue 8 https://doi.org/10.1088/0954-3899/31/8/016	journal	July 2005
Entanglement and correlation in two-nucleon systems Kruppa, A. T.; Kovács, J.; Salamon, P. Journal of Physics G: Nuclear and Particle Physics, Vol. 48, Issue 2 https://doi.org/10.1088/1361-6471/abc2dd	journal	January 2021
Proton-neutron entanglement in the nuclear shell model Johnson, Calvin W.; Gorton, Oliver C. Journal of Physics G: Nuclear and Particle Physics, Vol. 50, Issue 4 https://doi.org/10.1088/1361-6471/acbece	journal	March 2023
The resource theory of stabilizer quantum computation Veitch, Victor; Hamed Mousavian, S. A.; Gottesman, Daniel New Journal of Physics, Vol. 16, Issue 1 https://doi.org/10.1088/1367-2630/16/1/013009	journal	January 2014
Lower bounds on the non-Clifford resources for quantum computations Beverland, Michael; Campbell, Earl; Howard, Mark Quantum Science and Technology, Vol. 5, Issue 3 https://doi.org/10.1088/2058-9565/ab8963	journal	June 2020
Monte Carlo sampling methods using Markov chains and their applications Hastings, W. K. Biometrika, Vol. 57, Issue 1 https://doi.org/10.1093/biomet/57.1.97	journal	April 1970
Scalable Measures of Magic Resource for Quantum Computers Haug, Tobias; Kim, M. S. PRX Quantum, Vol. 4, Issue 1 https://doi.org/10.1103/PRXQuantum.4.010301	journal	January 2023
Density-Matrix Renormalization Group Algorithm for Simulating Quantum Circuits with a Finite Fidelity Ayral, Thomas; Louvet, Thibaud; Zhou, Yiqing PRX Quantum, Vol. 4, Issue 2 https://doi.org/10.1103/PRXQuantum.4.020304	journal	April 2023
Many-Body Magic Via Pauli-Markov Chains—From Criticality to Gauge Theories Tarabunga, Poetri Sonya; Tirrito, Emanuele; Chanda, Titas PRX Quantum, Vol. 4, Issue 4 https://doi.org/10.1103/PRXQuantum.4.040317	journal	October 2023
Dynamical Magic Transitions in Monitored Clifford+ T Circuits Bejan, Mircea; McLauchlan, Campbell; Béri, Benjamin PRX Quantum, Vol. 5, Issue 3 https://doi.org/10.1103/PRXQuantum.5.030332	journal	August 2024
Simulations of subatomic many-body physics on a quantum frequency processor Lu, Hsuan-Hao; Klco, Natalie; Lukens, Joseph M. Physical Review A, Vol. 100, Issue 1 https://doi.org/10.1103/PhysRevA.100.012320	journal	July 2019
Optimal control for the quantum simulation of nuclear dynamics Holland, Eric T.; Wendt, Kyle A.; Kravvaris, Konstantinos Physical Review A, Vol. 101, Issue 6 https://doi.org/10.1103/PhysRevA.101.062307	journal	June 2020
Two-orbital quantum discord in fermion systems Faba, Javier; Martín, Vicente; Robledo, Luis Physical Review A, Vol. 103, Issue 3 https://doi.org/10.1103/PhysRevA.103.032426	journal	March 2021
Improving Hamiltonian encodings with the Gray code Di Matteo, Olivia; McCoy, Anna; Gysbers, Peter Physical Review A, Vol. 103, Issue 4 https://doi.org/10.1103/PhysRevA.103.042405	journal	April 2021
Correlation energy and quantum correlations in a solvable model Faba, Javier; Martín, Vicente; Robledo, Luis Physical Review A, Vol. 104, Issue 3 https://doi.org/10.1103/PhysRevA.104.032428	journal	September 2021
Analysis of quantum correlations within the ground state of a three-level Lipkin model Faba, Javier; Martín, Vicente; Robledo, Luis Physical Review A, Vol. 105, Issue 6 https://doi.org/10.1103/PhysRevA.105.062449	journal	June 2022
Demonstration of a quantum-classical coprocessing protocol for simulating nuclear reactions Turro, F.; Chistolini, T.; Hashim, A. Physical Review A, Vol. 108, Issue 3 https://doi.org/10.1103/PhysRevA.108.032417	journal	September 2023
Stabilizer entropy dynamics after a quantum quench Rattacaso, Davide; Leone, Lorenzo; Oliviero, Salvatore F. E. Physical Review A, Vol. 108, Issue 4 https://doi.org/10.1103/PhysRevA.108.042407	journal	October 2023
Combining matrix product states and noisy quantum computers for quantum simulation Anselme Martin, Baptiste; Ayral, Thomas; Jamet, François Physical Review A, Vol. 109, Issue 6 https://doi.org/10.1103/PhysRevA.109.062437	journal	June 2024
Isometric tensor network optimization for extensive Hamiltonians is free of barren plateaus Miao, Qiang; Barthel, Thomas Physical Review A, Vol. 109, Issue 5 https://doi.org/10.1103/PhysRevA.109.L050402	journal	May 2024
Stabilizer entropies are monotones for magic-state resource theory Leone, Lorenzo; Bittel, Lennart Physical Review A, Vol. 110, Issue 4 https://doi.org/10.1103/PhysRevA.110.L040403	journal	October 2024
Class of quantum error-correcting codes saturating the quantum Hamming bound Gottesman, Daniel Physical Review A, Vol. 54, Issue 3 https://doi.org/10.1103/PhysRevA.54.1862	journal	September 1996
Distributed entanglement Coffman, Valerie; Kundu, Joydip; Wootters, William K. Physical Review A, Vol. 61, Issue 5 https://doi.org/10.1103/PhysRevA.61.052306	journal	April 2000
Potential multiparticle entanglement measure Wong, Alexander; Christensen, Nelson Physical Review A, Vol. 63, Issue 4 https://doi.org/10.1103/PhysRevA.63.044301	journal	March 2001
Four qubits can be entangled in nine different ways Verstraete, F.; Dehaene, J.; De Moor, B. Physical Review A, Vol. 65, Issue 5 https://doi.org/10.1103/PhysRevA.65.052112	journal	April 2002
Improved simulation of stabilizer circuits Aaronson, Scott; Gottesman, Daniel Physical Review A, Vol. 70, Issue 5 https://doi.org/10.1103/PhysRevA.70.052328	journal	November 2004
Fast simulation of stabilizer circuits using a graph-state representation Anders, Simon; Briegel, Hans J. Physical Review A, Vol. 73, Issue 2 https://doi.org/10.1103/PhysRevA.73.022334	journal	February 2006
Catalysis and activation of magic states in fault-tolerant architectures Campbell, Earl T. Physical Review A, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevA.83.032317	journal	March 2011
Quantifying nonstabilizerness of matrix product states Haug, Tobias; Piroli, Lorenzo Physical Review B, Vol. 107, Issue 3 https://doi.org/10.1103/PhysRevB.107.035148	journal	January 2023
Nonstabilizerness versus entanglement in matrix product states Frau, M.; Tarabunga, P. S.; Collura, M. Physical Review B, Vol. 110, Issue 4 https://doi.org/10.1103/PhysRevB.110.045101	journal	July 2024
Nonstabilizerness in U(1) lattice gauge theory Falcão, Pedro R. Nicácio; Tarabunga, Poetri Sonya; Frau, Martina Physical Review B, Vol. 111, Issue 8 https://doi.org/10.1103/PhysRevB.111.L081102	journal	February 2025
Preparation of excited states for nuclear dynamics on a quantum computer Roggero, Alessandro; Gu, Chenyi; Baroni, Alessandro Physical Review C, Vol. 102, Issue 6 https://doi.org/10.1103/PhysRevC.102.064624	journal	December 2020
Entanglement rearrangement in self-consistent nuclear structure calculations Robin, Caroline; Savage, Martin J.; Pillet, Nathalie Physical Review C, Vol. 103, Issue 3 https://doi.org/10.1103/PhysRevC.103.034325	journal	March 2021
Accessing ground-state and excited-state energies in a many-body system after symmetry restoration using quantum computers Ruiz Guzman, Edgar Andres; Lacroix, Denis Physical Review C, Vol. 105, Issue 2 https://doi.org/10.1103/PhysRevC.105.024324	journal	February 2022
Variational approaches to constructing the many-body nuclear ground state for quantum computing Stetcu, I.; Baroni, A.; Carlson, J. Physical Review C, Vol. 105, Issue 6 https://doi.org/10.1103/PhysRevC.105.064308	journal	June 2022
Solving nuclear structure problems with the adaptive variational quantum algorithm Romero, A. M.; Engel, J.; Tang, Ho Lun Physical Review C, Vol. 105, Issue 6 https://doi.org/10.1103/PhysRevC.105.064317	journal	June 2022
Quantum computation of nuclear observables involving linear combinations of unitary operators Siwach, Pooja; Arumugam, P. Physical Review C, Vol. 105, Issue 6 https://doi.org/10.1103/PhysRevC.105.064318	journal	June 2022
Entanglement and seniority Kruppa, A. T.; Kovács, J.; Salamon, P. Physical Review C, Vol. 106, Issue 2 https://doi.org/10.1103/PhysRevC.106.024303	journal	August 2022
Density matrix renormalization group description of the island of inversion isotopes F28–33 Fossez, K.; Rotureau, J. Physical Review C, Vol. 106, Issue 3 https://doi.org/10.1103/PhysRevC.106.034312	journal	September 2022
Quantum computing of the Li6 nucleus via ordered unitary coupled clusters Kiss, Oriel; Grossi, Michele; Lougovski, Pavel Physical Review C, Vol. 106, Issue 3 https://doi.org/10.1103/PhysRevC.106.034325	journal	September 2022
Entanglement generation in few-nucleon scattering Bai, Dong; Ren, Zhongzhou Physical Review C, Vol. 106, Issue 6 https://doi.org/10.1103/PhysRevC.106.064005	journal	December 2022
Minimal entanglement and emergent symmetries in low-energy QCD Liu, Qiaofeng; Low, Ian; Mehen, Thomas Physical Review C, Vol. 107, Issue 2 https://doi.org/10.1103/PhysRevC.107.025204	journal	February 2023
Quantum information in nucleon-nucleon scattering Bai, Dong Physical Review C, Vol. 107, Issue 4 https://doi.org/10.1103/PhysRevC.107.044005	journal	April 2023
Measures of complexity and entanglement in many-fermion systems Bulgac, Aurel; Kafker, Matthew; Abdurrahman, Ibrahim Physical Review C, Vol. 107, Issue 4 https://doi.org/10.1103/PhysRevC.107.044318	journal	April 2023
Entanglement entropy between short range correlations and the Fermi sea in nuclear structure Pazy, Ehoud Physical Review C, Vol. 107, Issue 5 https://doi.org/10.1103/PhysRevC.107.054308	journal	May 2023
Entanglement entropy, single-particle occupation probabilities, and short-range correlations Bulgac, Aurel Physical Review C, Vol. 107, Issue 6 https://doi.org/10.1103/PhysRevC.107.L061602	journal	June 2023
Quantum simulations in effective model spaces: Hamiltonian-learning variational quantum eigensolver using digital quantum computers and application to the Lipkin-Meshkov-Glick model Robin, Caroline E. P.; Savage, Martin J. Physical Review C, Vol. 108, Issue 2 https://doi.org/10.1103/PhysRevC.108.024313	journal	August 2023
Entanglement entropy of nuclear systems Gu, Chenyi; Sun, Z. H.; Hagen, G. Physical Review C, Vol. 108, Issue 5 https://doi.org/10.1103/PhysRevC.108.054309	journal	November 2023
Prediction of the neutron drip line in oxygen isotopes using quantum computation Sarma, Chandan; Di Matteo, Olivia; Abhishek, Abhishek Physical Review C, Vol. 108, Issue 6 https://doi.org/10.1103/PhysRevC.108.064305	journal	December 2023
Quantum simulations of SO(5) many-fermion systems using qudits Illa, Marc; Robin, Caroline E. P.; Savage, Martin J. Physical Review C, Vol. 108, Issue 6 https://doi.org/10.1103/PhysRevC.108.064306	journal	December 2023
Entanglement maximization in low-energy neutron-proton scattering Miller, Gerald A. Physical Review C, Vol. 108, Issue 3 https://doi.org/10.1103/PhysRevC.108.L031002	journal	September 2023
Entanglement of elastic and inelastic scattering Miller, Gerald A. Physical Review C, Vol. 108, Issue 4 https://doi.org/10.1103/PhysRevC.108.L041601	journal	October 2023
Solving the Lipkin model using quantum computers with two qubits only with a hybrid quantum-classical technique based on the generator coordinate method Beaujeault-Taudière, Yann; Lacroix, Denis Physical Review C, Vol. 109, Issue 2 https://doi.org/10.1103/PhysRevC.109.024327	journal	February 2024
Toward experimental determination of spin entanglement of nucleon pairs Bai, Dong Physical Review C, Vol. 109, Issue 3 https://doi.org/10.1103/PhysRevC.109.034001	journal	March 2024
Weak entanglement approximation for nuclear structure Gorton, Oliver C.; Johnson, Calvin W. Physical Review C, Vol. 110, Issue 3 https://doi.org/10.1103/PhysRevC.110.034305	journal	September 2024
Entanglement in selected binary tree states: Dicke or total spin states or particle-number-projected BCS states Lacroix, Denis Physical Review C, Vol. 110, Issue 3 https://doi.org/10.1103/PhysRevC.110.034310	journal	September 2024
Density matrix renormalization group method and large-scale nuclear shell-model calculations Dukelsky, J.; Pittel, S.; Dimitrova, S. S. Physical Review C, Vol. 65, Issue 5 https://doi.org/10.1103/PhysRevC.65.054319	journal	May 2002
Factorization of shell-model ground states Papenbrock, T.; Dean, D. J. Physical Review C, Vol. 67, Issue 5 https://doi.org/10.1103/PhysRevC.67.051303	journal	May 2003
Solution of large scale nuclear structure problems by wave function factorization Papenbrock, T.; Juodagalvis, A.; Dean, D. J. Physical Review C, Vol. 69, Issue 2 https://doi.org/10.1103/PhysRevC.69.024312	journal	February 2004
New “USD” Hamiltonians for the sd shell Brown, B. Alex; Richter, W. A. Physical Review C, Vol. 74, Issue 3 https://doi.org/10.1103/PhysRevC.74.034315	journal	September 2006
Density matrix renormalization group study of Cr 48 and Ni 56 Thakur, B.; Pittel, S.; Sandulescu, N. Physical Review C, Vol. 78, Issue 4 https://doi.org/10.1103/PhysRevC.78.041303	journal	October 2008
Density matrix renormalization group approach to two-fluid open many-fermion systems Rotureau, J.; Michel, N.; Nazarewicz, W. Physical Review C, Vol. 79, Issue 1 https://doi.org/10.1103/PhysRevC.79.014304	journal	January 2009
Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction Delaroche, J. -P.; Girod, M.; Libert, J. Physical Review C, Vol. 81, Issue 1 https://doi.org/10.1103/PhysRevC.81.014303	journal	January 2010
Tensor correlation, pairing interaction, and deformation in Ne isotopes and Ne hypernuclei Li, A.; Hiyama, E.; Zhou, X. -R. Physical Review C, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevC.87.014333	journal	January 2013
Ab initio no-core Gamow shell model calculations with realistic interactions Papadimitriou, G.; Rotureau, J.; Michel, N. Physical Review C, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevC.88.044318	journal	October 2013
Spin alignment of excited projectiles due to target spin-flip interactions Charity, R. J.; Elson, J. M.; Manfredi, J. Physical Review C, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevC.91.024610	journal	February 2015
Advanced density matrix renormalization group method for nuclear structure calculations Legeza, Ö.; Veis, L.; Poves, A. Physical Review C, Vol. 92, Issue 5 https://doi.org/10.1103/PhysRevC.92.051303	journal	November 2015
Entanglement and collective flavor oscillations in a dense neutrino gas Cervia, Michael J.; Patwardhan, Amol V.; Balantekin, A. B. Physical Review D, Vol. 100, Issue 8 https://doi.org/10.1103/PhysRevD.100.083001	journal	October 2019
Spectral splits and entanglement entropy in collective neutrino oscillations Patwardhan, Amol V.; Cervia, Michael J.; Balantekin, A. B. Physical Review D, Vol. 104, Issue 12 https://doi.org/10.1103/PhysRevD.104.123035	journal	December 2021
Nuclear two point correlation functions on a quantum computer Baroni, A.; Carlson, J.; Gupta, R. Physical Review D, Vol. 105, Issue 7 https://doi.org/10.1103/PhysRevD.105.074503	journal	April 2022
Entanglement and correlations in fast collective neutrino flavor oscillations Roggero, Alessandro; Rrapaj, Ermal; Xiong, Zewei Physical Review D, Vol. 106, Issue 4 https://doi.org/10.1103/PhysRevD.106.043022	journal	August 2022
Role of non-Gaussian quantum fluctuations in neutrino entanglement Lacroix, Denis; Balantekin, A. B.; Cervia, Michael J. Physical Review D, Vol. 106, Issue 12 https://doi.org/10.1103/PhysRevD.106.123006	journal	December 2022
Entanglement in three-flavor collective neutrino oscillations Siwach, Pooja; Suliga, Anna M.; Balantekin, A. Baha Physical Review D, Vol. 107, Issue 2 https://doi.org/10.1103/PhysRevD.107.023019	journal	January 2023
Stabilizer entropy of quantum tetrahedra Cepollaro, Simone; Chirco, Goffredo; Cuffaro, Gianluca Physical Review D, Vol. 109, Issue 12 https://doi.org/10.1103/PhysRevD.109.126008	journal	June 2024
Qu8its for quantum simulations of lattice quantum chromodynamics Illa, Marc; Robin, Caroline E. P.; Savage, Martin J. Physical Review D, Vol. 110, Issue 1 https://doi.org/10.1103/PhysRevD.110.014507	journal	July 2024
Solving the nuclear pairing model with neural network quantum states Rigo, Mauro; Hall, Benjamin; Hjorth-Jensen, Morten Physical Review E, Vol. 107, Issue 2 https://doi.org/10.1103/PhysRevE.107.025310	journal	February 2023
Class of Quantum Many-Body States That Can Be Efficiently Simulated Vidal, G. Physical Review Letters, Vol. 101, Issue 11 https://doi.org/10.1103/PhysRevLett.101.110501	journal	September 2008
Estimating Entanglement Monotones with a Generalization of the Wootters Formula Chen, Zhi-Hua; Ma, Zhi-Hao; Gühne, Otfried Physical Review Letters, Vol. 109, Issue 20 https://doi.org/10.1103/PhysRevLett.109.200503	journal	November 2012
Improved Classical Simulation of Quantum Circuits Dominated by Clifford Gates Bravyi, Sergey; Gosset, David Physical Review Letters, Vol. 116, Issue 25 https://doi.org/10.1103/PhysRevLett.116.250501	journal	June 2016
Application of a Resource Theory for Magic States to Fault-Tolerant Quantum Computing Howard, Mark; Campbell, Earl Physical Review Letters, Vol. 118, Issue 9 https://doi.org/10.1103/PhysRevLett.118.090501	journal	March 2017
Cloud Quantum Computing of an Atomic Nucleus Dumitrescu, E. F.; McCaskey, A. J.; Hagen, G. Physical Review Letters, Vol. 120, Issue 21 https://doi.org/10.1103/PhysRevLett.120.210501	journal	May 2018
Entanglement Suppression and Emergent Symmetries of Strong Interactions Beane, Silas R.; Kaplan, David B.; Klco, Natalie Physical Review Letters, Vol. 122, Issue 10 https://doi.org/10.1103/PhysRevLett.122.102001	journal	March 2019
Efficiently Computable Bounds for Magic State Distillation Wang, Xin; Wilde, Mark M.; Su, Yuan Physical Review Letters, Vol. 124, Issue 9 https://doi.org/10.1103/PhysRevLett.124.090505	journal	March 2020
Symmetry-Assisted Preparation of Entangled Many-Body States on a Quantum Computer Lacroix, Denis Physical Review Letters, Vol. 125, Issue 23 https://doi.org/10.1103/PhysRevLett.125.230502	journal	December 2020
Stabilizer Rényi Entropy Leone, Lorenzo; Oliviero, Salvatore F. E.; Hamma, Alioscia Physical Review Letters, Vol. 128, Issue 5 https://doi.org/10.1103/PhysRevLett.128.050402	journal	February 2022
Multi-Neutrino Entanglement and Correlations in Dense Neutrino Systems Illa, Marc; Savage, Martin J. Physical Review Letters, Vol. 130, Issue 22 https://doi.org/10.1103/PhysRevLett.130.221003	journal	May 2023
Validation of the Be10 Ground-State Molecular Structure Using Be10(p,pα)He6 Triple Differential Reaction Cross-Section Measurements Li, P. J.; Beaumel, D.; Lee, J. Physical Review Letters, Vol. 131, Issue 21 https://doi.org/10.1103/PhysRevLett.131.212501	journal	November 2023
Nonstabilizerness via Matrix Product States in the Pauli Basis Tarabunga, Poetri Sonya; Tirrito, Emanuele; Bañuls, Mari Carmen Physical Review Letters, Vol. 133, Issue 1 https://doi.org/10.1103/PhysRevLett.133.010601	journal	July 2024
Density matrix formulation for quantum renormalization groups White, Steven R. Physical Review Letters, Vol. 69, Issue 19 https://doi.org/10.1103/PhysRevLett.69.2863	journal	November 1992
Entanglement of a Pair of Quantum Bits Hill, Scott; Wootters, William K. Physical Review Letters, Vol. 78, Issue 26 https://doi.org/10.1103/PhysRevLett.78.5022	journal	June 1997
Entanglement of Formation of an Arbitrary State of Two Qubits Wootters, William K. Physical Review Letters, Vol. 80, Issue 10 https://doi.org/10.1103/PhysRevLett.80.2245	journal	March 1998
Efficient Classical Simulation of Slightly Entangled Quantum Computations Vidal, Guifré Physical Review Letters, Vol. 91, Issue 14 https://doi.org/10.1103/PhysRevLett.91.147902	journal	October 2003
Density Matrix Renormalization Group Approach for Many-Body Open Quantum Systems Rotureau, J.; Michel, N.; Nazarewicz, W. Physical Review Letters, Vol. 97, Issue 11 https://doi.org/10.1103/PhysRevLett.97.110603	journal	September 2006
Entanglement Renormalization Vidal, G. Physical Review Letters, Vol. 99, Issue 22 https://doi.org/10.1103/PhysRevLett.99.220405	journal	November 2007
Variational quantum eigensolver with fewer qubits Liu, Jin-Guo; Zhang, Yi-Hong; Wan, Yuan Physical Review Research, Vol. 1, Issue 2 https://doi.org/10.1103/PhysRevResearch.1.023025	journal	September 2019
Holographic quantum algorithms for simulating correlated spin systems Foss-Feig, Michael; Hayes, David; Dreiling, Joan M. Physical Review Research, Vol. 3, Issue 3 https://doi.org/10.1103/PhysRevResearch.3.033002	journal	July 2021
Crossing a topological phase transition with a quantum computer Smith, Adam; Jobst, Bernhard; Green, Andrew G. Physical Review Research, Vol. 4, Issue 2 https://doi.org/10.1103/PhysRevResearch.4.L022020	journal	April 2022
Quantum-classical eigensolver using multiscale entanglement renormalization Miao, Qiang; Barthel, Thomas Physical Review Research, Vol. 5, Issue 3 https://doi.org/10.1103/PhysRevResearch.5.033141	journal	August 2023
Entanglement – nonstabilizerness separation in hybrid quantum circuits Fux, Gerald E.; Tirrito, Emanuele; Dalmonte, Marcello Physical Review Research, Vol. 6, Issue 4 https://doi.org/10.1103/PhysRevResearch.6.L042030	journal	October 2024
What Limits the Simulation of Quantum Computers? Zhou, Yiqing; Stoudenmire, E. Miles; Waintal, Xavier Physical Review X, Vol. 10, Issue 4 https://doi.org/10.1103/PhysRevX.10.041038	journal	November 2020
The shell model as a unified view of nuclear structure Caurier, E.; Martínez-Pinedo, G.; Nowacki, F. Reviews of Modern Physics, Vol. 77, Issue 2 https://doi.org/10.1103/RevModPhys.77.427	journal	June 2005
Microscopic clustering in light nuclei Freer, Martin; Horiuchi, Hisashi; Kanada-En’yo, Yoshiko Reviews of Modern Physics, Vol. 90, Issue 3 https://doi.org/10.1103/RevModPhys.90.035004	journal	August 2018
Symmetry breaking/symmetry preserving circuits and symmetry restoration on quantum computers Lacroix, Denis; Ruiz Guzman, Edgar Andres; Siwach, Pooja The European Physical Journal A, Vol. 59, Issue 1 https://doi.org/10.1140/epja/s10050-022-00911-7	journal	January 2023
Quantum information and quantum simulation of neutrino physics Balantekin, A. B.; Cervia, Michael J.; Patwardhan, Amol V. The European Physical Journal A, Vol. 59, Issue 8 https://doi.org/10.1140/epja/s10050-023-01092-7	journal	August 2023
Quantum computing with and for many-body physics Ayral, Thomas; Besserve, Pauline; Lacroix, Denis The European Physical Journal A, Vol. 59, Issue 10 https://doi.org/10.1140/epja/s10050-023-01141-1	journal	October 2023
Multi-body entanglement and information rearrangement in nuclear many-body systems: a study of the Lipkin–Meshkov–Glick model Hengstenberg, S. Momme; Robin, Caroline E. P.; Savage, Martin J. The European Physical Journal A, Vol. 59, Issue 10 https://doi.org/10.1140/epja/s10050-023-01145-x	journal	October 2023
Quantum entanglement patterns in the structure of atomic nuclei within the nuclear shell model Pérez-Obiol, A.; Masot-Llima, S.; Romero, A. M. The European Physical Journal A, Vol. 59, Issue 10 https://doi.org/10.1140/epja/s10050-023-01151-z	journal	October 2023
Deep quantum circuit simulations of low-energy nuclear states Li, Ang; Baroni, Alessandro; Stetcu, Ionel The European Physical Journal A, Vol. 60, Issue 5 https://doi.org/10.1140/epja/s10050-024-01286-7	journal	May 2024
Entanglement minimization in hadronic scattering with pions Beane, Silas R.; Farrell, Roland C.; Varma, Mira International Journal of Modern Physics A, Vol. 36, Issue 30 https://doi.org/10.1142/S0217751X21502055	journal	October 2021
Rank-Normalization, Folding, and Localization: An Improved Rˆ for Assessing Convergence of MCMC (with Discussion) Vehtari, Aki; Gelman, Andrew; Simpson, Daniel Bayesian Analysis, Vol. 16, Issue 2 https://doi.org/10.1214/20-BA1221	journal	June 2021
ArviZ a unified library for exploratory analysis of Bayesian models in Python Kumar, Ravin; Carroll, Colin; Hartikainen, Ari Journal of Open Source Software, Vol. 4, Issue 33 https://doi.org/10.21105/joss.01143	journal	January 2019
Simulation of quantum circuits by low-rank stabilizer decompositions Bravyi, Sergey; Browne, Dan; Calpin, Padraic Quantum, Vol. 3 https://doi.org/10.22331/q-2019-09-02-181	journal	September 2019
Efficient classical simulation of noisy random quantum circuits in one dimension Noh, Kyungjoo; Jiang, Liang; Fefferman, Bill Quantum, Vol. 4 https://doi.org/10.22331/q-2020-09-11-318	journal	September 2020
Stim: a fast stabilizer circuit simulator Gidney, Craig Quantum, Vol. 5 https://doi.org/10.22331/q-2021-07-06-497	journal	July 2021
Stabilizer entropies and nonstabilizerness monotones Haug, Tobias; Piroli, Lorenzo Quantum, Vol. 7 https://doi.org/10.22331/q-2023-08-28-1092	journal	August 2023
Efficient solution of the non-unitary time-dependent Schrodinger equation on a quantum computer with complex absorbing potential Mangin-Brinet, Mariane; Zhang, Jing; Lacroix, Denis Quantum, Vol. 8 https://doi.org/10.22331/q-2024-04-08-1311	journal	April 2024
Convergence and Quantum Advantage of Trotterized MERA for Strongly-Correlated Systems Miao, Qiang; Barthel, Thomas Quantum, Vol. 9 https://doi.org/10.22331/q-2025-02-11-1631	journal	February 2025
Matrix product state representations Perez-Garcia, D.; Verstraete, F.; Wolf, M. M. Quantum Information and Computation, Vol. 7, Issue 5&6 https://doi.org/10.26421/QIC7.5-6-1	journal	July 2007
Relationship between the n-tangle and the residual entanglement of even n qubits Li, X.; Li, D. arXiv https://doi.org/10.48550/arXiv.1003.4774	text	January 2010

Similar Records

Disoriented isospin condensates may be the source of anomalous kaon correlations measured in Pb-Pb collisions at

\sqrt{s_{N N}} = 2.76

TeV

Journal Article · Sun Mar 10 20:00:00 EDT 2024 · Physical Review. C · OSTI ID:2322594

Relaxation times for disoriented isospin condensates in high energy heavy ion collisions

Journal Article · Sun Feb 02 19:00:00 EST 2025 · Physical Review. C · OSTI ID:2510913

Measurement of the

e^{+} e^{-} \to p \bar{p} π^{0}

cross section at

\sqrt{s} = 2.1000 - 3.0800 GeV

Journal Article · Thu Sep 19 20:00:00 EDT 2024 · Physical Review. D. · OSTI ID:2447498

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Entanglement
Nuclear Structure
Nuclear many-body theory
Nuclear structure & decays
Quantum Complexity
Quantum correlations in quantum information
Quantum entanglement
Shell model

Quantum magic and multipartite entanglement in the structure of nuclei

Citation Formats

References (143)

Similar Records

Related Subjects