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Quantum computing of chirality imbalance in SU(2) gauge theory

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arxiv 2411.18869 v3 pith:P3O5QKWG submitted 2024-11-28 hep-ph hep-lathep-thnucl-thquant-ph

Quantum computing of chirality imbalance in SU(2) gauge theory

classification hep-ph hep-lathep-thnucl-thquant-ph
keywords quantumgaugealgorithmchiralcomputingnon-abelianpotentialsystems
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We implement a variational quantum algorithm to investigate the chiral condensate in a 1+1 dimensional SU(2) non-Abelian gauge theory. The algorithm is evaluated using a proposed Monte Carlo sampling method, which allows the extension to large qubit systems. The obtained results through quantum simulations on classical and actual quantum hardware are in good agreement with exact diagonalization of the lattice Hamiltonian, revealing the phenomena of chiral symmetry breaking and restoration as functions of both temperature and chemical potential. Our findings underscore the potential of near-term quantum computing for exploring QCD systems at finite temperature and density in non-Abelian gauge theories.

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Cited by 2 Pith papers

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  1. 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.

  2. Applicability of kinetic theory in strongly coupled thermal quantum systems

    nucl-th 2026-06 unverdicted novelty 3.0

    In 1D lattice Schwinger and NJL models, single-particle momentum distributions dominate two-particle correlations once thermal kinetic energy becomes comparable to the interaction strength, supporting applicability of...