English

Geometry of decomposition dependent evolutions of mixed states

Quantum Physics 2018-02-09 v2

Abstract

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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Cite

@article{arxiv.quant-ph/0312094,
  title  = {Geometry of decomposition dependent evolutions of mixed states},
  author = {David Kult and Erik Sjöqvist},
  journal= {arXiv preprint arXiv:quant-ph/0312094},
  year   = {2018}
}

Comments

Small typographical corrections, journal reference added