Year: 2005
Type: article
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 analyzed for holonomic quantum computation using ion traps.
Source: Physical Review A
Authors: Mikael Nordling, Erik Sjöqvist
Institution: Uppsala University
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1991543256