Video URL

https://pirsa.org/12100045

The effect of initial correlations on the evolution of quantum states

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

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

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2012},
            month = {oct},
            note = {PIRSA:12100045 see, \url{https://scivideos.org/pirsa/12100045}}
          }

Mark Byrd Southern Illinois University

DOI 10.48660/12100045
Source Repository PIRSA
Collection
Talk Type Scientific Series
Subject

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.