PIRSA:12100045 Scientific Series Quantum Information

DOI10.48660/12100045

Series: Perimeter Institute Quantum Discussions

Byrd, M. (2012). The effect of initial correlations on the evolution of quantum states. Perimeter Institute. https://pirsa.org/12100045

Byrd, Mark. The effect of initial correlations on the evolution of quantum states. Perimeter Institute, Oct. 15, 2012, https://pirsa.org/12100045 

@misc{ pirsa_PIRSA:12100045,
  doi = {10.48660/12100045},
  url = {https://pirsa.org/12100045},
  author = {Byrd, Mark},
  keywords = {Quantum Information},
  language = {en},
  title = {The effect of initial correlations on the evolution of quantum states},
  publisher = {Perimeter Institute},
  year = {2012},
  month = {oct},
  note = {PIRSA:12100045 see, \url{https://pirsa.org}}
}

Abstract

Until fairly recently, it was generally assumed that the initial state of a quantum system prepared for information processing was in a product state with its environment.  If this is the case,
the evolution is described by a completely positive map.  However, if the system and environment are initially correlated, or entangled, such that the so-called quantum discord is non-zero, then the
evolution is described by a map which is not completely positive. Maps that are not completely positive are not as well understood and the implications of having such a map are not completely known.  I will discuss a few examples and a theorem (or two) which may help us understand the implications of having maps which are not completely positive.

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