Deeply inelastic scattering structure functions on a hybrid quantum computer

Abstract

We outline a strategy to compute deeply inelastic scattering structure functions using a hybrid quantum computer. Our approach takes advantage of the representation of the fermion determinant in the QCD path integral as a quantum mechanical path integral over 0+1-dimensional fermionic and bosonic worldlines. The proper time evolution of these worldlines can be determined on a quantum computer. While extremely challenging in general, the problem simplifies in the Regge limit of QCD, where the interaction of the worldlines with gauge fields is strongly localized in proper time and the corresponding quantum circuits can be written down. As a first application, we employ the Color Glass Condensate effective theory to construct the quantum algorithm for a simple dipole model of the $F_2$ structure function. We outline further how this computation scales up in complexity and extends in scope to other real-time correlation functions.

arXiv commentAccepted for publication in PRD. 15 pages, 5 figures, two sections of appendix now included in main text (in sections III and V), section VI added, references added

References in corpus (76)

• Quantum Computing in the NISQ era and beyond
• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• The Color Glass Condensate
• The Wilson renormalization group for low x physics: towards the high density regime
• Green's Functions in the Color Field of a Large Nucleus
• On the Power of One Bit of Quantum Information
• Nonlinear Gluon Evolution in the Color Glass Condensate: II
• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• Parton Physics on Euclidean Lattice
• The Wilson renormalization group for low x physics: Gluon evolution at finite parton density
• Impact Parameter Space Interpretation for Generalized Parton Distributions
• Quantum Algorithms for Quantum Field Theories
• Perturbative Quantum Field Theory in the String-Inspired Formalism
• Field Theory Without Feynman Diagrams: One-Loop Effective Actions
• Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
• Renormalization and tensor product states in spin chains and lattices
• Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
• Entanglement and the Power of One Qubit
• Quantum Algorithms for Fermionic Simulations
• Quark Imaging in the Proton Via Quantum Phase-Space Distributions
• Can One Trust Quantum Simulators?
• Fock Space Distributions, Structure Functions, Higher Twists and Small x
• Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
• A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
• Parton distributions and lattice QCD calculations: a community white paper
• Nucleon Helicity and Transversity Parton Distributions from Lattice QCD
• Deep inelastic scattering as a probe of entanglement
• A Formulation of Lattice Gauge Theories for Quantum Simulations
• A Lattice Calculation of Parton Distributions
• Origin of Difference between $\overline{d}$ and $\overline{u}$ Partons in the Nucleon
• Density Matrix Renormalisation Group Approach to the Massive Schwinger Model
• Path integral approach to eikonal and next-to-eikonal exponentiation
• Digitization of Scalar Fields for Quantum Computing
• Matrix product states for gauge field theories
• General Methods for Digital Quantum Simulation of Gauge Theories
• Nonperturbative Evolution of Parton Quasi-Distributions
• Gluon Field Digitization for Quantum Computers
• Structure Functions of the Nucleon and their Interpretation
• Webs in multiparton scattering using the replica trick
• The Theory of Deeply Inelastic Scattering
• From deep inelastic scattering to heavy-flavor semi-leptonic decays: Total rates into multi-hadron final states from lattice QCD
• Entanglement renormalization and gauge symmetry
• Particle production in field theories coupled to strong external sources I. Formalism and main results
• The chiral anomaly, Berry's phase and chiral kinetic theory, from world-lines in quantum field theory
• World-line construction of a covariant chiral kinetic theory
• Hadrons and Nuclei
• Worldline Path Integrals for Fermions with Scalar, Pseudoscalar and Vector Couplings
• Thermal excitation spectrum from entanglement in an expanding quantum string
• Random walks of partons in SU(N_c) and classical representations of color charges in QCD at small x
• Sigma models on quantum computers
• Worldline Path Integrals for Fermions with General Couplings
• Towards the nucleon hadronic tensor from lattice QCD
• Prepotential formulation of SU(3) lattice gauge theory
• Tensor Networks and their use for Lattice Gauge Theories
• Constructing phase space distributions with internal symmetries
• Particles with non abelian charges
• First lattice QCD study of the gluonic structure of light nuclei
• Limitations on using the operator product expansion at small values of x
• Wong's equations and the small x effective action in QCD
• Axial Couplings on the World-Line
• Yukawa Couplings for the Spinning Particle and the World Line Formalism
• Sizable CP Violation in the Bosonized Standard Model
• Discrete Wigner Formalism for Qubits and Non-Contextuality of Clifford Gates on Qubit Stabilizer States
• Matrix product representation of gauge invariant states in a Z_2 lattice gauge theory
• World-line approach to the Bern-Kosower formalism in two-loop Yang-Mills theory
• Model independent determination of the shape function for inclusive B decays and of the structure functions in DIS
• Minding one's P's and Q's : from the one loop effective action in quantum field theory to classical transport theory
• Two-loop Yang-Mills theory in the world-line formalism and an Euler-Heisenberg type action
• Chiral symmetry breaking, entanglement, and the nucleon spin decomposition
• Structure functions at small x from world-lines. I: Unpolarized distributions
• Discrete Wigner Function Derivation of the Aaronson-Gottesman Tableau Algorithm
• Semiclassical Formulation of Gottesman-Knill and Universal Quantum Computation
• On the Yang-Mills two-loop effective action with wordline methods

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