Generalization of the geometric phase to completely positive maps
Journal Article
·
· Physical Review. A
- Department of Quantum Chemistry, Uppsala University, Box 518, Se-751 20 (Sweden)
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.
- OSTI ID:
- 20633656
- Journal Information:
- Physical Review. A, Vol. 67, Issue 2; Other Information: DOI: 10.1103/PhysRevA.67.020101; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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