Operational approach to the Uhlmann holonomy

Journal Article · Thu Mar 15 00:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.75.032106· OSTI ID:20982237

Aberg, Johan ^[1]; Kult, David; Sjoeqvist, Erik ^[2]; Oi, Daniel K. L. ^[1]

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1. Centre for Quantum Computation, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA (United Kingdom)
2. Department of Quantum Chemistry, Uppsala University, Box 518, Se-751 20 Uppsala (Sweden)

We suggest a physical interpretation of the Uhlmann amplitude of a density operator. Given this interpretation we propose an operational approach to obtain the Uhlmann condition for parallelity. This allows us to realize parallel transport along a sequence of density operators by an iterative preparation procedure. At the final step the resulting Uhlmann holonomy can be determined via interferometric measurements.

• OSTI ID: 20982237
• Journal Information: Physical Review. A, Vol. 75, Issue 3; Other Information: DOI: 10.1103/PhysRevA.75.032106; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
DENSITY
INTERFEROMETRY
ITERATIVE METHODS
MATHEMATICAL OPERATORS