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Generalized Parton Distribution Functions via Quantum Simulation of Quantum Field Theory in Light-front Coordinates

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arxiv 2211.07826 v2 pith:6BA3UUAY submitted 2022-11-15 hep-th

Generalized Parton Distribution Functions via Quantum Simulation of Quantum Field Theory in Light-front Coordinates

classification hep-th
keywords quantumdistributionfieldformulationfunctionslight-frontpartonsimulation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Quantum simulation of quantum field theories offers a new way to investigate properties of the fundamental constituents of matter. We develop quantum simulation algorithms based on the light-front formulation of relativistic field theories. The process of quantizing the system in light-cone coordinates will be explained for a Hamiltonian formulation, which becomes block diagonal, each block approximating the Fock space with a certain harmonic resolution K. We analyze a QCD theory in 2+1D. We compute the analogue of parton distribution functions, the generalized parton distribution functions for mesonic composite particles, like hadrons, in these theories. The dependence of such analyses on the scaling of the number of qubits is compared with other schemes and conventional computations. There is a notable advantage to the light-front formulation.

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Cited by 5 Pith papers

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    A Monte Carlo-assisted analytic method tightens energy-based bounds on boson truncation errors, substantially reducing the volume dependence of the required cutoff in scalar and gauge theories.

  3. Quantum Simulation of Generalized Parton Distributions in the Schwinger Model

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    Quantum algorithm for GPDs in Schwinger model using Wilson fermions, with polynomial resource scaling and exact-diagonalization benchmarks matching theory.

  4. Tightening energy-based boson truncation bound using Monte Carlo-assisted methods

    hep-lat 2026-04 unverdicted novelty 5.0

    New analytic and Monte Carlo-assisted method tightens energy-based boson truncation bounds, reducing volume dependence in (1+1)D scalar and (2+1)D U(1) gauge theories.

  5. Toward selective quantum advantage in hadronic tomography:explicit cases from Compton form factors, GPDs, TMDs, and GTMDs

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