Operational approach to the Uhlmann holonomy

Abstract

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.

Added material, references, and journal references

References in corpus (6)

• Abelian and non-Abelian geometric phases in adiabatic open quantum systems
• Subspace preserving completely positive maps
• Subspace local quantum channels
• Gluing of completely positive maps
• Operations and single particle interferometry
• Fidelity and Coherence Measures from Interference