Parton Physics on a Quantum Computer

Abstract

Parton distribution functions and hadronic tensors may be computed on a universal quantum computer without many of the complexities that apply to Euclidean lattice calculations. We detail algorithms for computing parton distribution functions and the hadronic tensor in the Thirring model. Their generalization to QCD is discussed, with the conclusion that the parton distribution function is best obtained by fitting the hadronic tensor, rather than direct calculation. As a side effect of this method, we find that lepton-hadron cross sections may be computed relatively cheaply. Finally, we estimate the computational cost of performing such a calculation on a digital quantum computer, including the cost of state preparation, for physically relevant parameters.

arXiv comment7 pg, 1 fig, v2 changed to match version accepted to PRR

References in corpus (44)

• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• Parton Physics on Euclidean Lattice
• Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
• Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
• Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
• Quantum Algorithms for Fermionic Simulations
• Quasi-PDFs, momentum distributions and pseudo-PDFs
• 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
• Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
• Simulations of non-Abelian gauge theories with optical lattices
• Exploring hadrons' partonic structure using ab initio lattice QCD calculations
• Simulating lattice gauge theories on a quantum computer
• Extracting Parton Distribution Functions from Lattice QCD Calculations
• Nucleon structure functions from lattice operator product expansion
• Origin of Difference between $\overline{d}$ and $\overline{u}$ Partons in the Nucleon
• U(1) Wilson lattice gauge theories in digital quantum simulators
• General Methods for Digital Quantum Simulation of Gauge Theories
• Pion Valence Quark Distribution from Matrix Element Calculated in Lattice QCD
• Quantum simulation of a lattice Schwinger model in a chain of trapped ions
• Digital lattice gauge theories
• Gluon Field Digitization for Quantum Computers
• Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits
• Simulation of Nonequilibrium Dynamics on a Quantum Computer
• Gauge-invariant implementation of the Abelian Higgs model on optical lattices
• Digital quantum simulation of lattice gauge theories in three spatial dimensions
• Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects
• Reconstructing parton distribution functions from Ioffe time data: from Bayesian methods to Neural Networks
• Linear Response on a Quantum Computer
• Moments of Ioffe time parton distribution functions from non-local matrix elements
• Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point
• Quantum simulation of the universal features of the Polyakov loop
• BQP-completeness of Scattering in Scalar Quantum Field Theory
• Quantum simulation of lattice gauge theories using Wilson fermions
• Parton Degrees of Freedom from the Path-Integral Formalism
• Efficient Quantum Algorithm for Computing n-time Correlation Functions
• Quantum simulation of scattering in the quantum Ising model
• Quantum simulation of $(1+1)$-dimensional U(1) gauge-Higgs model on a lattice by cold Bose gases
• Real time dynamics and proposal for feasible experiments of lattice gauge-Higgs model simulated by cold atoms
• A gauge-invariant, rotor Hamiltonian from dual variables of 3D U(1) gauge theory
• Universal features of the Abelian Polyakov loop in 1+1 dimension
• Parton distributions from lattice data: the nonsinglet case
• QCD Factorization and PDFs from Lattice QCD Calculation
• Model independent determination of the shape function for inclusive B decays and of the structure functions in DIS

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