9.–13. Mai 2022
Max Planck Institute of Quantum Optics
Europe/Berlin Zeitzone

Qubit Regularization, Qubit Embedding Algebra and Asymptotic Freedom

10.05.2022, 15:00
40m
Max Planck Institute of Quantum Optics

Max Planck Institute of Quantum Optics

Sprecher

Shailesh Chandrasekharan (Duke University)

Beschreibung

Quantum computation of quantum field theories requires one to regularize the local lattice Hilbert space. We define this type of regularization as Qubit Regularization. This naturally leads to the concept of a Qubit Embedding Algebra (QEA) which replaces the traditional symmetry algebra. We derive some QEAs for lattice spin models and gauge theories. We discover a simple qubit regularization of the two dimensional O(3) non-linear sigma model and show asymptotic freedom emerging from it. We contrast this discovery with the D-theory approach to asymptotic freedom.

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