PIRSA: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. 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}}
          }

Mark Byrd Southern Illinois University

DOI 10.48660/12100045
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.