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Gluon Field Digitization for Quantum Computers

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arxiv 1906.11213 v2 pith:VFHE7EUJ submitted 2019-06-26 hep-lat nucl-thphysics.comp-phquant-ph

Andrei Alexandru , Paulo F. Bedaque , Siddhartha Harmalkar , Henry Lamm , Scott Lawrence , Neill C. Warrington (for the NuQS Collaboration) This is my paper · ORCID
classification hep-latnucl-thphysics.comp-phquant-ph
keywords digitizationsimulationsactioncomputersfieldgaugelatticeprecision
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Simulations of gauge theories on quantum computers require the digitization of continuous field variables. Digitization schemes that uses the minimum amount of qubits are desirable. We present a practical scheme for digitizing $SU(3)$ gauge theories via its discrete subgroup $S(1080)$. The $S(1080)$ standard Wilson action cannot be used since a phase transition occurs as the coupling is decreased, well before the scaling regime. We proposed a modified action that allows simulations in the scaling window and carry out classical Monte Carlo calculations down to lattice spacings of order $a\approx 0.08$ fm. We compute a set of observables with sub-percent precision at multiple lattice spacings and show that the continuum extrapolated value agrees with the full $SU(3)$ results. This suggests that this digitization scheme provides sufficient precision for NISQ-era QCD simulations.

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Cited by 4 Pith papers

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  1. Quantum computation of hadron scattering in a lattice gauge theory

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    On a trapped-ion quantum computer, the authors prepared multiple meson wave packets and simulated their early-time collisions in a 1+1D Z2 lattice gauge theory.

  2. Parton Physics on a Quantum Computer

    hep-lat 2019-08 conditional novelty 6.0 of 10

    A quantum-computer algorithm is proposed for computing parton distribution functions and hadronic tensors, with a Thirring-model demonstration and QCD resource estimates that favor extracting PDFs by fitting the hadro...

  3. Deeply inelastic scattering structure functions on a hybrid quantum computer

    hep-th 2019-08 conditional novelty 6.0 of 10

    A worldline representation of the QCD quark determinant is used to write a quantum circuit that computes F2 in a small-x dipole model, with a road map for generalizing to real-time DIS.

  4. Phase structure of the 1+1 dimensional massive Thirring model from matrix product states

    hep-lat 2019-08 conditional novelty 5.0 of 10

    The 1+1 dimensional massive Thirring model has a conformal critical phase and a gapped phase separated by a Berezinskii-Kosterlitz-Thouless transition, as shown by tensor-network simulations.

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