Simulating lattice gauge theories on a quantum computer

T Byrnes, Y Yamamoto - Physical Review A—Atomic, Molecular, and Optical …, 2006 - APS
We examine the problem of simulating lattice gauge theories on a universal quantum
computer. The basic strategy of our approach is to transcribe lattice gauge theories in the …

Efficient Solvability of Hamiltonians and Limits on the Power<? format?> of Some Quantum Computational Models

R Somma, H Barnum, G Ortiz, E Knill - Physical review letters, 2006 - APS
One way to specify a model of quantum computing is to give a set of control Hamiltonians
acting on a quantum state space whose initial state and final measurement are specified in …

Semi-fermionic representation for spin systems under equilibrium and non-equilibrium conditions

MN Kiselev - International Journal of Modern Physics B, 2006 - World Scientific
We present a general derivation of semi-fermionic representation for spin operators in terms
of a bilinear combination of fermions in real and imaginary time formalisms. The constraint …