Mixed state non-Abelian holonomy for subsystems
Quantum Physics
2016-08-16 v2
Abstract
Non-Abelian holonomy in dynamical systems may arise in adiabatic transport of energetically degenerate sets of states. We examine such a holonomy structure for mixtures of energetically degenerate quantal states. We demonstrate that this structure has a natural interpretation in terms of the standard Wilczek-Zee holonomy associated with a certain class of Hamiltonians that couple the system to an ancilla. The mixed state holonomy is analysed for holonomic quantum computation using ion traps.
Cite
@article{arxiv.quant-ph/0404162,
title = {Mixed state non-Abelian holonomy for subsystems},
author = {Mikael Nordling and Erik Sjöqvist},
journal= {arXiv preprint arXiv:quant-ph/0404162},
year = {2016}
}
Comments
Minor changes, journal reference added