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Quantum Simulation of Large N Lattice Gauge Theories

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arxiv 2411.16704 v1 pith:WHWNZQVJ submitted 2024-11-14 hep-lat quant-ph

classification hep-latquant-ph
keywords gaugehilbertspacelatticehamiltonianinteractionslargeleading
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

A Hamiltonian lattice formulation of lattice gauge theories opens the possibility for quantum simulations of the non-perturbative dynamics of QCD. By parametrizing the gauge invariant Hilbert space in terms of plaquette degrees of freedom, we show how the Hilbert space and interactions can be expanded in inverse powers of $N_c$. At leading order in this expansion, the Hamiltonian simplifies dramatically, both in the required size of the Hilbert space as well as the type of interactions involved. Adding a truncation of the resulting Hilbert space in terms of local electric energy states we give explicit constructions that allow simple representations of SU(3) gauge fields on qubits and qutrits to leading order in large $N_c$

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Cited by 2 Pith papers

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

  1. Nonlocal Nonstabilizerness from Holographic Schwinger Pair Production

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    In holographic Schwinger pair production, the excess capacity of entanglement is √λ(d−2)/(d−1)³ — positive for d>2, zero for d=2 — so the produced pair carries nonlocal magic for d>2.

  2. String breaking dynamics in Ising chain with local vibrations

    quant-ph 2024-12 conditional novelty 4.0 of 10

    In the Ising-Holstein model with local vibrations, weak spin-phonon coupling slows string breaking in shallow wells, while strong coupling promotes string contraction over breaking.

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