Jul 26 – 30, 2021
US/Eastern timezone

Qubit Regularization of Asymptotic Freedom

Jul 26, 2021, 2:45 PM
15m
Oral presentation Algorithms (including Machine Learning, Quantum Computing, Tensor Networks) Algorithms (including Machine Learning, Quantum Computing, Tensor Networks)

Speaker

Hersh Singh (Duke University)

Description

We provide strong evidence that the asymptotically free (1+1)-dimensional non-linear O(3) sigma model can be regularized using a quantum lattice Hamiltonian, referred to as the "Heisenberg-comb", that acts on a Hilbert space with only two qubits per spatial lattice site. The Heisenberg-comb consists of a spin-half anti-ferromagnetic Heisenberg-chain coupled anti-ferromagnetically to a second local spin-half particle at every lattice site. Using a world-line Monte Carlo method we show that the model reproduces the universal step-scaling function of the traditional model up to correlation lengths of 200,000 in lattice units and argue how the continuum limit could emerge. We provide a quantum circuit description of time-evolution of the model and argue that near-term quantum computers may suffice to demonstrate asymptotic freedom.

Primary author

Hersh Singh (Duke University)

Co-authors

Prof. Shailesh Chandrasekharan (Duke University) Tanmoy Bhattacharya (T-2) Rajan Gupta (Los Alamos National Lab) Alex Buser (Caltech)

Presentation materials