Theory Seminar - Henry Lamm

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Speaker: Henry Lamm (Fermilab)

Title: All too well: approximating SU(3) by only 1080 group elements

Abstract: Quantum simulations of QCD require digitization of the infinite-dimensional gluon field. Schemes for doing this with the minimum amount of qubits are desirable. I will present a practical digitization for SU(3) gauge theories via its discrete subgroup S(1080) and use classical lattice calculations to explore its viability in the nonperturbative regime. Using a modified action that allows classical simulations down to a˜0.08 fm, the low-lying glueball spectrum is computed with percent-level precision at multiple lattice spacings and shown to extrapolate to the continuum limit SU(3) results. This, perhaps surprisingly result, suggests that this digitization scheme of the infinite SU(3) group by only 1080 finite elements is sufficient for precision quantum simulations of QCD.