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Quantum Simulation

Quantum Simulation of Large N Lattice Gauge Theories

arXiv
Authors: Anthony N. Ciavarella, Christian W. Bauer

Year

2024

Paper ID

36752

Status

Preprint

Abstract Read

~2 min

Abstract Words

116

Citations

N/A

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 Nc. 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 Nc

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2024 reference point for readers tracking recent quantum research.
  • A Hamiltonian lattice formulation of lattice gauge theories opens the possibility for quantum simulations of the non-perturbative dynamics of QCD.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2411.16704 [2] arXiv https://arxiv.org/abs/2411.16704 [3] Publisher https://arxiv.org/abs/2411.16704

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