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31 July 2023 to 4 August 2023
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Simulating the Femto-universe on a Quantum Computer

2 Aug 2023, 09:40
20m
Comitium (WH2SE)

Comitium

WH2SE

Speaker

Nouman Butt (University of Illinois, Urbana-Champaign)

Description

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.

Topical area Quantum Computing and Quantum Information

Primary authors

Draper Patrick (University of Illinois, Urbana-Champaign) Jiayu Shen (University of Illinois, Urbana-Champaign) Nouman Butt (University of Illinois, Urbana-Champaign)

Presentation materials