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Open Quantum Systems Decoherence
Entanglement Theory Quantum Correlations
A Symmetry Approach to Geometric Phase for Quantum Ensembles
arXiv
Authors: Ole Andersson, Hoshang Heydari
Year
2014
Paper ID
46634
Status
Preprint
Abstract Read
~2 min
Abstract Words
74
Citations
N/A
Abstract
We use tools from the theory of dynamical systems with symmetries to stratify Uhlmann's standard purification bundle and derive a new connection for mixed quantum states. For unitarily evolving systems, this connection gives rise to the 'interferometric' geometric phase of Sjöqvist et al. [Phys. Rev. Lett. 85 2845 - 2849 (2000)], and for more generally evolving open systems it gives rise to the generalization of the interferometric geometric phase due to Tong et al. [Phys. Rev. Lett. 93 080405 (2004)].
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- We use tools from the theory of dynamical systems with symmetries to stratify Uhlmann's standard purification bundle and derive a new connection for mixed quantum states.
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