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EPRC is a leading institute in Europe for comparative research on public policy, with a particular focus on regional development policies. Spanning 30 European countries, EPRC research programmes have a strong emphasis on applied research and knowledge exchange, including the provision of policy advice to EU institutions and national and sub-national government authorities throughout Europe.

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Generalization of the geometric phase to completely positive maps

Ericsson, M and Sjoqvist, E and Brannlund, J and Oi, D K L and Pati, A K (2003) Generalization of the geometric phase to completely positive maps. Physical Review A, 67 (2). -. ISSN 1094-1622

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Abstract

We generalize the notion of relative phase to completely positive (CP) maps with known unitary representation, based on interferometry. Parallel transport conditions that define the geometric phase for such maps are introduced. The interference effect is embodied in a set of interference patterns defined by flipping the environment state in one of the two paths. We show for the qubit that this structure gives rise to interesting additional information about the geometry of the evolution defined by the CP map.