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Quantum Simulation
Simulating the Femtouniverse on a Quantum Computer
arXiv
Authors: Nouman Butt, Patrick Draper, Jiayu Shen
Year
2022
Paper ID
6671
Status
Preprint
Abstract Read
~2 min
Abstract Words
97
Citations
N/A
Abstract
We compute the low-lying spectrum of 4D SU(2) Yang-Mills in a finite volume using quantum simulations. In contrast to small-volume lattice truncations of the Hilbert space, we employ toroidal dimensional reduction to the "femtouniverse" matrix quantum mechanics model. In this limit the theory is equivalent to the quantum mechanics of three interacting particles moving inside a 3-ball with certain boundary conditions. We use the variational quantum eigensolver and quantum subspace expansion techniques to compute the string tension to glueball mass ratio near the small/large-volume transition point, finding qualitatively good agreement with large volume Euclidean lattice simulations.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We compute the low-lying spectrum of 4D SU(2) Yang-Mills in a finite volume using quantum simulations.
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