Ole Andersson, Hoshang Heydari
Geometric phase has found a broad spectrum of applications in both classical and quantum physics, such as condensed matter and quantum computation. In this paper we introduce an operational geometric phase for mixed quantum states, based on spectral weighted traces of holonomies, and we prove that it generalizes the standard definition of geometric phase for mixed states, which is based on quantum interferometry. Our approach is rigorous, geometrically elegant, and applies to general unitary evolutions of both nondegenerate and degenerate mixed states. Moreover, since we provide an explicit formula for the geometric phase that can be easily implemented, it is extremely suitable for computations in quantum physics.
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http://arxiv.org/abs/1302.1838
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