Formulating Lattice Field Theory for a Quantum Computer

19 Jun 2019, 09:40
20m
Shimao 5

Shimao 5

Parallel Algorithms and Machines Algorithms and Machines

Speaker

Richard Brower (Boston University)

Description

The quantum link (or QCD abacus) Hamiltonian was introduced as a
classical algorithm representing both gauge and matter fields by
single bit fermion operators in an extra dimension. This formalism is
recast for quantum computing, as a Hamiltonian in Minkowski space for
real time Qubit simulations. The advantages of pseudo-fermions
to implement the Jordan Wigner transformation and the Trotter
expansion in local gauge invariant local kernels is discussed. For
U(1) compact QED the kernels on a triangular lattice are defined
and a Qubit circuit implementation given to test on existing hardware.

Authors

Richard Brower (Boston University) Prof. David Berenstein (UC Santa Barbara)

Presentation materials