Multi-Body Entanglement and Information Rearrangement in Nuclear Many-Body Systems

Abstract

We examine how effective-model-space (EMS) calculations of nuclear many-body systems rearrange and converge multi-particle entanglement. The generalized Lipkin-Meshkov-Glick (LMG) model is used to motivate and provide insight for future developments of entanglement-driven descriptions of nuclei. The effective approach is based on a truncation of the Hilbert space together with a variational rotation of the qubits (spins), which constitute the relevant elementary degrees of freedom. The non-commutivity of the rotation and truncation allows for an exponential improvement of the energy convergence throughout much of the model space. Our analysis examines measures of correlations and entanglement, and quantifies their convergence with increasing cut-off. We focus on one- and two-spin entanglement entropies, mutual information, and $n$-tangles for $n=2,4$ to estimate multi-body entanglement. The effective description strongly suppresses entropies and mutual information of the rotated spins, while being able to recover the exact results to a large extent with low cut-offs. Naive truncations of the bare Hamiltonian, on the other hand, artificially underestimate these measures. The $n$-tangles in the present model provide a basis-independent measures of $n$-particle entanglement. While these are more difficult to capture with the EMS description, the improvement in convergence, compared to truncations of the bare Hamiltonian, is significantly more dramatic. We conclude that the low-energy EMS techniques, that successfully provide predictive capabilities for low-lying observables in many-body systems, exhibit analogous efficacy for quantum correlations and multi-body entanglement in the LMG model, motivating future studies in nuclear many-body systems and effective field theories relevant to high-energy physics and nuclear physics.

arXiv comment24 pages, 14 figures

References in corpus (80)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• The density-matrix renormalization group in the age of matrix product states
• Introducing Quantum Discord
• Area laws for the entanglement entropy - a review
• Entanglement of a Pair of Quantum Bits
• Distributed Entanglement
• Efficient classical simulation of slightly entangled quantum computations
• A New Expansion for Nucleon-Nucleon Interactions
• Two-Nucleon Systems from Effective Field Theory
• Tensor networks for complex quantum systems
• The Two-Nucleon Potential from Chiral Lagrangians
• Cloud Quantum Computing of an Atomic Nucleus
• Entanglement in a second order quantum phase transition
• A potential multipartide entanglement measure
• Collective Neutrino Flavor Transformation In Supernovae
• Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
• Spin squeezing and pairwise entanglement for symmetric multiqubit states
• Entanglement entropy in the Lipkin-Meshkov-Glick model
• Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model
• Entanglement Measures for Single- and Multi-Reference Correlation Effects
• Entanglement in a first order quantum phase transition
• Entanglement dynamics in the Lipkin-Meshkov-Glick model
• Entanglement Suppression and Emergent Symmetries of Strong Interactions
• Neutrino-Neutrino Interactions and Flavor Mixing in Dense Matter
• Quantum Simulating Nature's Fundamental Fields
• The Spin-Flavor Dependence of Nuclear Forces from Large-N QCD
• Simulations of Subatomic Many-Body Physics on a Quantum Frequency Processor
• Algorithms for quantum simulation at finite energies
• Ab-initio No-Core Gamow Shell Model calculations with realistic interactions
• Entanglement Rearrangement in Self-Consistent Nuclear Structure Calculations
• Quantum Computing for Neutrino-nucleus Scattering
• Rodeo Algorithm for Quantum Computing
• Baryon-Baryon Interactions and Spin-Flavor Symmetry from Lattice Quantum Chromodynamics
• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (I) Axial Gauge
• Entanglement for rank-2 mixed states
• Density matrix renormalization group approach for many-body open quantum systems
• Quantum computing of the ${}^6$Li nucleus via ordered unitary coupled clusters
• Variational approaches to constructing the many-body nuclear ground state for quantum computing
• Solving Nuclear Structure Problems with the Adaptive Variational Quantum Algorithm
• Preparation of excited states for nuclear dynamics on a quantum computer
• Advanced density matrix renormalization group method for nuclear structure calculations
• Lipkin model on a quantum computer
• Entanglement of finite cyclic chains at factorizing fields
• Symmetry assisted preparation of entangled many-body states on a quantum computer
• Optimal Control for the Quantum Simulation of Nuclear Dynamics
• Minimal Entanglement and Emergent Symmetries in Low-energy QCD
• The Density Matrix Renormalization Group for finite Fermi systems
• Proton-neutron entanglement in the nuclear shell model
• Combining the in-medium similarity renormalization group with the density matrix renormalization group: Shell structure and information entropy
• Nuclear shell-model simulation in digital quantum computers
• Accessing ground state and excited states energies in many-body system after symmetry restoration using quantum computers
• Multipartite Entanglement Measure
• Measures of complexity and entanglement in fermionic many-body systems
• The Density Matrix Renormalization Group Method and Large-Scale Nuclear Shell-Model Calculations
• Multi-Neutrino Entanglement and Correlations in Dense Neutrino Systems
• Density matrix renormalization group approach to two-fluid open many-fermion systems
• Entanglement entropy, single-particle occupation probabilities, and short-range correlations
• Factorization and entanglement in general XYZ spin arrays in non-uniform transverse fields
• Quantum Simulations in Effective Model Spaces (I): Hamiltonian Learning-VQE using Digital Quantum Computers and Application to the Lipkin-Meshkov-Glick Model
• Entanglement entropy of nuclear systems
• Factorization of shell-model ground-states
• Entanglement generation in few-nucleon scattering
• Density matrix renormalization group and wave function factorization for nuclei
• Simulating excited states of the Lipkin model on a quantum computer
• Multiparticle Entanglement in the Lipkin-Meshkov-Glick Model
• On the convergence of nuclear effective field theory with perturbative pions
• Geometry and entanglement in the scattering matrix
• Solution of large scale nuclear structure problems by wave function factorization
• Entanglement and correlation in two-nucleon systems
• Density Matrix Renormalization Group study of ${}^{48}$Cr and ${}^{56}$Ni
• The Entanglement Entropy between Short Range Correlations and the Fermi Sea in Nuclear Structure
• Symmetry breaking/symmetry preserving circuits and symmetry restoration on quantum computers: A quantum many-body perspective
• Fermionic entanglement in the Lipkin model
• Two-orbital quantum discord in fermion systems
• Quantum Simulations of SO(5) Many-Fermion Systems using Qudits
• Density matrix renormalization group description of the island of inversion isotopes ${}^{28-33}$F
• A digital quantum simulation of the Agassi model
• Genuine Multipartite Correlations Distribution in the Criticality of Lipkin-Meshkov-Glick Model
• A quantum-classical co-processing protocol towards simulating nuclear reactions on contemporary quantum hardware
• Digital quantum simulation of an extended Agassi model: Using machine learning to disentangle its phase-diagram

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