Discrete Quantum Causal Dynamics
 Richard F. Blute,
 Ivan T. Ivanov,
 Prakash Panangaden
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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.
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 Title
 Discrete Quantum Causal Dynamics
 Journal

International Journal of Theoretical Physics
Volume 42, Issue 9 , pp 20252041
 Cover Date
 20030901
 DOI
 10.1023/A:1027335119549
 Print ISSN
 00207748
 Online ISSN
 15729575
 Publisher
 Kluwer Academic PublishersPlenum Publishers
 Additional Links
 Topics
 Keywords

 discrete quantum systems
 causality
 entanglement
 Industry Sectors
 Authors

 Richard F. Blute ^{(1)}
 Ivan T. Ivanov ^{(1)}
 Prakash Panangaden ^{(2)}
 Author Affiliations

 1. Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario, Canada
 2. School of Computer Science, McGill University, Montreal, Quebec, Canada