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Proceedings Paper

Some examples of sum uncertainty relations for compact classical Lie algebra
Author(s): Namrata Shukla; Hubert de Guise; Lorenzo Maccone; Barry C. Sanders
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Paper Abstract

We formulate the sum uncertainty relations for compact classical Lie algebras of the type su (n), so (2n), so (2n + 1) and sp (n). Then we present resulting uncertainty relations explicitly for the su (2) ; su (3) and su (4) cases. We numerically verified our bound by choosing a large number of random vectors within an irrep of each of these algebras. We verify the bounds for several irreps. We discuss what type of states saturate su (n) bound for n = 2; 3 and 4, and compare these states with states that saturate more familiar products uncertainty relations.

Paper Details

Date Published: 30 August 2017
PDF: 7 pages
Proc. SPIE 10409, Quantum Communications and Quantum Imaging XV, 104090S (30 August 2017); doi: 10.1117/12.2275349
Show Author Affiliations
Namrata Shukla, Univ. of Calgary (Canada)
Hubert de Guise, Lakehead Univ. (Canada)
Lorenzo Maccone, Univ. degli Studi di Pavia (Italy)
Barry C. Sanders, Univ. of Calgary (Canada)
Canadian Institute for Advanced Research (Canada)

Published in SPIE Proceedings Vol. 10409:
Quantum Communications and Quantum Imaging XV
Ronald E. Meyers; Yanhua Shih; Keith S. Deacon, Editor(s)

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