Many-particle confinement by constructed disorder and quantum computing
Abstract
Many-particle confinement (localization) is studied for a 1D system of spinless fermions with nearest-neighbor hopping and interaction, or equivalently, for an anisotropic Heisenberg spin-1/2 chain. This system is frequently used to model quantum computers with perpetually coupled qubits. We construct a bounded sequence of site energies that leads to strong single-particle confinement of all states on individual sites. We show that this sequence also leads to a confinement of all many-particle states in an infinite system for a time that scales as a high power of the reciprocal hopping integral. The confinement is achieved for strong interaction between the particles while keeping the overall bandwidth of site energies comparatively small. The results show viability of quantum computing with time-independent qubit coupling.
Cite
@article{arxiv.cond-mat/0507493,
title = {Many-particle confinement by constructed disorder and quantum computing},
author = {M. I. Dykman and L. F. Santos and M. Shapiro},
journal= {arXiv preprint arXiv:cond-mat/0507493},
year = {2009}
}
Comments
An invited paper for the topical issue of J. Opt. B on quantum control