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### Proceedings Paper

Properties of quantum reactivity for a multipartite state
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Paper Abstract

We discuss the properties of quantum state reactivity as a measure for quantum correlation. This information geometry-based definition is a generalization of the two qubit construction of Schumacher to multipartite quantum states. It requires a generalization of information distance to information areas as well as to higher-dimensional volumes. The reactivity is defined in the usual chemistry way as a ratio of surface area to volume. The reactivity is an average over all detector settings. We show that this measure posses the key features required for a measure of quantum correlation. We show that it is invariant under local unitary transformations, non{increasing under local operations and classical communication, and monotonic. Its maximum bound can't be obtained using only classical correlation. Furthermore, reactivity is an analytic function of measurement probabilities and easily extendable to higher multipartite states.

Paper Details

Date Published: 13 May 2019
PDF: 7 pages
Proc. SPIE 10984, Quantum Information Science, Sensing, and Computation XI, 1098402 (13 May 2019); doi: 10.1117/12.2524224
Show Author Affiliations
Shahabeddin Mostafanazhad Aslmarand, Florida Atlantic Univ. (United States)
Warner A. Miller, Florida Atlantic Univ. (United States)
Tahereh Razaei, Florida Atlantic Univ. (United States)
Paul M. Alsing, Air Force Research Lab. (United States)
Verinder S. Rana, Naval Information Warfare Ctr. Pacific (United States)

Published in SPIE Proceedings Vol. 10984:
Quantum Information Science, Sensing, and Computation XI
Eric Donkor; Michael Hayduk; Michael R. Frey; Samuel J. Lomonaco Jr.; John M. Myers, Editor(s)