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Proceedings Paper

Description of quantum entanglement with nilpotent polynomials: extensive characterization of entanglement and canonical forms
Author(s): Aikaterini Mandilara; Vladimir M. Akulin; Andrei V. Smilga; Lorenza Viola
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Paper Abstract

We propose a general method for introducing extensive characteristics of quantum entanglement. The method relies on polynomials of nilpotent raising operators, that create entangled states acting on a reference vacuum state. By introducing the notion of tanglemeter (the logarithm of the state vector represented in a special canonical form and expressed via polynomials of nilpotent variables), we show how this description provides a simple criterion for entanglement as well as a universal method for constructing the invariants characterizing entanglement.

Paper Details

Date Published: 31 May 2006
PDF: 12 pages
Proc. SPIE 6264, Quantum Informatics 2005, 626402 (31 May 2006); doi: 10.1117/12.683104
Show Author Affiliations
Aikaterini Mandilara, Washington Univ., St. Louis (United States)
Vladimir M. Akulin, Lab. Aime Cotton, CNRS (France)
Andrei V. Smilga, SUBATECH, Univ. de Nantes (France)
Lorenza Viola, Dartmouth College (United States)


Published in SPIE Proceedings Vol. 6264:
Quantum Informatics 2005
Yuri I. Ozhigov, Editor(s)

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