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Mixed-state non-Abelian holonomy for subsystems
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Quantum Chemistry. (Quantum information theory)
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Quantum Chemistry. (Quantum information theory)
2005 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 71, no 1, 012110- p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2005. Vol. 71, no 1, 012110- p.
Keyword [en]
Quantum holonomy, purification, mixed states
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:uu:diva-73209DOI: 10.1103/PhysRevA.71.012110ISI: 000227283300026OAI: oai:DiVA.org:uu-73209DiVA: diva2:101120
Note
Also in Virtual Journal of Nanoscale Science and Technology, February 14 issue 2005 and Virtual Journal of Quantum Information, February issue 2005. Available from: 2006-12-13 Created: 2006-12-13 Last updated: 2017-12-14

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Sjöqvist, Erik

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