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Quantum Simulation of Quantum Field Theory in the Light-Front Formulation

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arxiv 2002.04016 v2 pith:FCK3D2NY submitted 2020-02-10 quant-ph hep-th

classification quant-phhep-th
keywords quantumfieldformulationlight-frontprecisionalgorithmsqftsqubit
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Quantum chromodynamics (QCD) describes the structure of hadrons such as the proton at a fundamental level. The precision of calculations in QCD limits the precision of the values of many physical parameters extracted from collider data. For example, uncertainty in the parton distribution function (PDF) is the dominant source of error in the $W$ mass measurement at the LHC. Improving the precision of such measurements is essential in the search for new physics. Quantum simulation offers an efficient way of studying quantum field theories (QFTs) such as QCD non-perturbatively. Previous quantum algorithms for simulating QFTs have qubit requirements that are well beyond the most ambitious experimental proposals for large-scale quantum computers. Can the qubit requirements for such algorithms be brought into range of quantum computation with several thousand logical qubits? We show how this can be achieved by using the light-front formulation of quantum field theory. This work was inspired by the similarity of the light-front formulation to quantum chemistry, first noted by Kenneth Wilson.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-Abelian dynamics on a cube: improving quantum compilation through qudit-based simulations

    quant-ph 2025-06 conditional novelty 7.0 of 10

    A qudit-based circuit for SU(2) lattice gauge theory on a cube, with improved decompositions for uniformly-controlled rotations and new elementary-gate resource estimates.

  2. Quantum simulating multi-particle processes in high energy nuclear physics: dijet production and color (de)coherence

    hep-ph 2026-04 unverdicted novelty 6.0 of 10

    A quantum-circuit framework maps partonic cross-sections for multi-particle QCD processes in media, benchmarked on dipole formation and antenna radiation at leading order.

  3. Quantum simulation of real-time current correlators and DIS-inspired observables in the Schwinger model

    hep-ph 2025-12 conditional novelty 6.0 of 10

    The hadronic tensor and longitudinal structure function of the massive Schwinger model are computed from real-time current–current correlators using tensor networks and quantum circuits, benchmarked against exact diag...

  4. Ab initio many-fermion structure calculations on a quantum computer

    nucl-th 2025-05 conditional novelty 6.0 of 10

    A quantum-classical resolvent method with a new fermionic block-encoding input scheme computes the spectrum and J values of 20O in a truncated sd-shell space, matching classical diagonalization.

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