Polynomial-Time Simulation of Pairing Models on a Quantum Computer

L.-A. Wu, M. S. Byrd, D. A. Lidar
2002 Physical Review Letters  
We propose a polynomial-time algorithm for simulation of the class of pairing Hamiltonians, e.g., the BCS Hamiltonian, on an NMR quantum computer. The algorithm adiabatically finds the low-lying spectrum in the vicinity of the gap between ground and first excited states, and provides a test of the applicability of the BCS Hamiltonian to mesoscopic superconducting systems, such as ultra-small metallic grains.
doi:10.1103/physrevlett.89.057904 pmid:12144467 fatcat:fmntkzgwgjanznfdl3ndwao6qe