"Formulating Lattice Field Theory for a Quantum Computer"
Presented by Richard Brower, Boston University
Wednesday, November 13, 2019, 2:30 pm — Small Seminar Room, Bldg. 510
The quantum link (or D-theory) formulation of lattice field theory, introduced 20 years ago by Brower-Chandrasekharan-Wiese, replaced all gauge and matter fields as single bit fermion operators for a Hamiltonian in an extra dimension. This can been recast as real time quantum evolution in Minkowski space ideally suited for Qubit quantum simulations. In addition a map from fermionic (anti-computing operators) to Pauli matrix Qubit has been found using pseudo-fermions and a local Jordan Wigner transformation in the group manifold, which is simpler than the Bravyi-Kitaev map due to local gauge invariance. With the trotter expansions the gauge invariant kernels for U(1) compact QED on triangular lattice are represented as Qubit circuit are ready to be tested on the IMB-Q.
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