International Journal of Theoretical Physics

, Volume 42, Issue 9, pp 2025–2041

Discrete Quantum Causal Dynamics

Authors

  • Richard F. Blute
    • Department of Mathematics and StatisticsUniversity of Ottawa
  • Ivan T. Ivanov
    • Department of Mathematics and StatisticsUniversity of Ottawa
  • Prakash Panangaden
    • School of Computer ScienceMcGill University
Article

DOI: 10.1023/A:1027335119549

Cite this article as:
Blute, R.F., Ivanov, I.T. & Panangaden, P. International Journal of Theoretical Physics (2003) 42: 2025. doi:10.1023/A:1027335119549

Abstract

We give a mathematical framework to describe the evolution of open quantum systems subject to finitely many interactions with classical apparatuses and with each other. The systems in question may be composed of distinct, spatially separated subsystems which evolve independently, but may also interact. This evolution, driven both by unitary operators and measurements, is coded in a mathematical structure in such a way that the crucial properties of causality, covariance, and entanglement are faithfully represented. The key to this scheme is the use of a special family of spacelike slices—we call them locative—that are not so large as to result in acausal influences but large enough to capture nonlocal correlations.

discrete quantum systemscausalityentanglement

Copyright information

© Plenum Publishing Corporation 2003