Geometry of decomposition dependent evolutions of mixed states

Details Geometry of decomposition dependent evolutions of mixed states Geometry of decomposition dependent evolutions of mixed states

2003-12-10

arxiv.org/abs/quant-ph/0312094v2

Int. J. Quantum Comp. 2, 247 (2004)

Physics

Quantum Physics

Small typographical corrections, journal reference added

Scientific paper

We examine evolutions where each component of a given decomposition of a mixed quantal state evolves independently in a unitary fashion. The geometric phase and parallel transport conditions for this type of decomposition dependent evolution are delineated. We compare this geometric phase with those previously defined for unitarily evolving mixed states, and mixed state evolutions governed by completely positive maps.

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