[NT/RBRC seminar] Quantum algorithms for transport coefficients in gauge theories

by Ms Yukari Yamauchi (Maryland U)

Friday 8 Oct 2021, 09:00 → 11:00 US/Eastern

https://bnl.zoomgov.com/j/1606612554?pwd=SSsvb0c4T3pYUXhUMjBKeUtueThVUT09

In heavy-ion physics, phenomenological models along with hydrodynamics have successfully described the dynamics of QCD in the strongly coupled regime. Some of the transport coefficients in the hydrodynamic description of QCD, such as the shear viscosity, could be evaluated naturally on a quantum computer. I will describe a quantum algorithm for computing the shear viscosity of gauge theories. Two important building blocks of the algorithm are: the preparation of a thermal state with the temperature near the phase transition, and the implementation of correlators of the energy-momentum tensor in the Hamiltonian formulation on a lattice. The shear viscosity is extracted from the correlators of the energy-momentum tensor. Due to the limitation on quantum resources, such a calculation on a quantum computer is possible only for small-volume systems in the foreseeable future. I will discuss finite-volume effects on the computation of the shear viscosity in the context of the quantum algorithm.