Simulating the Femtouniverse on a Quantum Computer
- URL: http://arxiv.org/abs/2211.10870v1
- Date: Sun, 20 Nov 2022 05:09:01 GMT
- Title: Simulating the Femtouniverse on a Quantum Computer
- Authors: Nouman Butt, Patrick Draper, Jiayu Shen
- Abstract summary: We compute the low-lying spectrum of 4D SU(2) Yang-Mills in a finite volume using quantum simulations.
In this limit the theory is equivalent to the quantum mechanics of three interacting particles moving inside a 3-ball with certain boundary conditions.
- Score: 0.0
- License: http://creativecommons.org/publicdomain/zero/1.0/
- 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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