Quantum Complexity Fluctuations from Nuclear and Hypernuclear Forces

Abstract

Toward an improved understanding of the role of quantum information in nuclei and exotic matter, we examine the quantum magic (non-stabilizerness) in low-energy strong interaction processes. As stabilizer states can be prepared efficiently using classical computers, and include classes of entangled states, it is quantum magic and fluctuations in quantum magic, together with entanglement, that determine computational resource requirements. As a measure of fluctuations in quantum magic, and hence the severity of the exponentially-scaling classical computing resource requirements, induced by scattering, the "magic power" of the S-matrix is introduced. This provides indirect experimental constraints on quantum resources required to model nuclei and dense matter using fault-tolerant quantum computers. Using experimentally-determined scattering phase shifts and mixing parameters, the magic power in nucleon-nucleon and hyperon-nucleon scattering, along with the magic in the deuteron, are found to exhibit interesting and distinct features. The ${\Sigma }^{-}$-baryon is identified as a potential candidate catalyst for enhanced spreading of magic and entanglement in dense matter, depending on in-medium decoherence.

15 pages, 6 figures. v2: additional references, modifications to uncertainty bands; v3: version accepted for publication

References in corpus (87)

• Quantum Computing in the NISQ era and beyond
• Improved Simulation of Stabilizer Circuits
• Universal Quantum Computation with ideal Clifford gates and noisy ancillas
• From hadrons to quarks in neutron stars: a review
• Simulating Lattice Gauge Theories within Quantum Technologies
• Quantum Simulation for High Energy Physics
• In-medium nuclear interactions of low-energy hadrons
• Trading classical and quantum computational resources
• Stabilizer Rényi entropy
• Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
• Estimating outcome probabilities of quantum circuits using quasiprobabilities
• Quantum Computing for High-Energy Physics: State of the Art and Challenges. Summary of the QC4HEP Working Group
• Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface
• Nucleon-Nucleon Scattering From Fully-Dynamical Lattice QCD
• The Deuteron and Exotic Two-Body Bound States from Lattice QCD
• Entanglement Suppression and Emergent Symmetries of Strong Interactions
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Quantum Simulating Nature's Fundamental Fields
• Tensor Network Algorithms: a Route Map
• Two Nucleon Systems at $m_{\pi }\sim 450\mathrm{MeV}$ from Lattice QCD
• Helium nuclei, deuteron and dineutron in 2+1 flavor lattice QCD
• Hyperon-nucleon interaction within chiral effective field theory revisited
• Quantifying nonstabilizerness of matrix product states
• Stabilizer entropies and nonstabilizerness monotones
• Measuring magic on a quantum processor
• Ab-initio No-Core Gamow Shell Model calculations with realistic interactions
• Entanglement Rearrangement in Self-Consistent Nuclear Structure Calculations
• Many-body magic via Pauli-Markov chains -- from criticality to gauge theories
• Hyperon-Nucleon Interactions and the Composition of Dense Nuclear Matter from Quantum Chromodynamics
• 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
• Stabilizer entropies are monotones for magic-state resource theory
• Magic-state resource theory for the ground state of the transverse-field Ising model
• Density matrix renormalization group approach for many-body open quantum systems
• Towards grounding nuclear physics in QCD
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• Entanglement and collective flavor oscillations in a dense neutrino gas
• Two-nucleon S-wave interactions at the $SU(3)$ flavor-symmetric point with $m_{ud}\simeq m_s^{\mathrm{phys}}$: a first lattice QCD calculation with the stochastic Laplacian Heaviside method
• Advanced density matrix renormalization group method for nuclear structure calculations
• Nonstabilizerness determining the hardness of direct fidelity estimation
• Measurement of Bell-type inequalities and quantum entanglement from $\Lambda$-hyperon spin correlations at high energy colliders
• Minimal Entanglement and Emergent Symmetries in Low-energy QCD
• Hyperon-nuclear interactions from SU(3) chiral effective field theory
• Quantum interference as a resource for quantum speedup
• The Density Matrix Renormalization Group for finite Fermi systems
• Thermalization of Gauge Theories from their Entanglement Spectrum
• Spectral splits and entanglement entropy in collective neutrino oscillations
• Proton-neutron entanglement in the nuclear shell model
• Hyperon-nucleon interaction in chiral effective field theory at next-to-next-to-leading order
• Combining the in-medium similarity renormalization group with the density matrix renormalization group: Shell structure and information entropy
• Non-stabilizerness versus entanglement in matrix product states
• A variational study of two-nucleon systems with lattice QCD
• Stabilizer entropy dynamics after a quantum quench
• Measures of complexity and entanglement in fermionic many-body systems
• The Density Matrix Renormalization Group Method and Large-Scale Nuclear Shell-Model Calculations
• Entanglement-magic separation in hybrid quantum circuits
• Multi-Neutrino Entanglement and Correlations in Dense Neutrino Systems
• Entanglement entropy, single-particle occupation probabilities, and short-range correlations
• Density matrix renormalization group approach to two-fluid open many-fermion systems
• Quantum Simulations in Effective Model Spaces (I): Hamiltonian Learning-VQE using Digital Quantum Computers and Application to the Lipkin-Meshkov-Glick Model
• Entanglement and correlations in fast collective neutrino flavor oscillations
• Role of non-gaussian quantum fluctuations in neutrino entanglement
• 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
• Geometry and entanglement in the scattering matrix
• Quantum entanglement patterns in the structure of atomic nuclei within the nuclear shell model
• 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
• Entanglement in three-flavor collective neutrino oscillations
• The Entanglement Entropy between Short Range Correlations and the Fermi Sea in Nuclear Structure
• Multi-Body Entanglement and Information Rearrangement in Nuclear Many-Body Systems
• Quantum information and quantum simulation of neutrino physics
• Magic-induced computational separation in entanglement theory
• Thermal behavior as indicator for hyperons in binary neutron star merger remnants
• Two-orbital quantum discord in fermion systems
• Chiral symmetry breaking, entanglement, and the nucleon spin decomposition
• Quantum simulation of entanglement and hadronization in jet production: lessons from the massive Schwinger model
• Toward experimental determination of spin entanglement of nucleon pairs
• Spectroscopy of N=50 isotones with the valence-space density matrix renormalization group
• Density matrix renormalization group description of the island of inversion isotopes ${}^{28-33}$F
• Hints of Entanglement Suppression in Hyperon-Nucleon Scattering
• Stabilizer entropy of quantum tetrahedra
• Doped stabilizer states in many-body physics and where to find them
• Entanglement Structures in Quantum Field Theories II: Distortions of Vacuum Correlations Through the Lens of Local Observers

Cited by in corpus (7)

• Stabilizer Entropy and entanglement complexity in the Sachdev-Ye-Kitaev model
• Interplay of entanglement structures and stabilizer entropy in spin models
• The non-stabilizerness of fermionic Gaussian states
• Operational interpretation of the Stabilizer Entropy
• Computing quantum magic of state vectors
• Stabilizer-Accelerated Quantum Many-Body Ground-State Estimation
• Van Hove singularities in stabilizer entropy densities