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A qubit model for U(1) lattice gauge theory

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arxiv 1905.09789 v1 pith:CA3MGOPS submitted 2019-05-23 hep-lat nucl-thquant-ph

A qubit model for U(1) lattice gauge theory

classification hep-lat nucl-thquant-ph
keywords gaugemodelreal-timedimensionslatticenumberqubitsspatial
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A conceptually simple model for strongly interacting compact U(1) lattice gauge theory is expressed as operators acting on qubits. The number of independent gauge links is reduced to its minimum through the use of Gauss's law. The model can be implemented with any number of qubits per gauge link, and a choice as small as two is shown to be useful. Real-time propagation and real-time collisions are observed on lattices in two spatial dimensions. The extension to three spatial dimensions is also developed, and a first look at 3-dimensional real-time dynamics is presented.

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