Description of quantum entanglement with nilpotent polynomials: extensive characterization of entanglement and canonical forms

Aikaterini Mandilara; Vladimir M. Akulin; Andrei V. Smilga; Lorenza Viola

doi:10.1117/12.683104

31 May 2006 Description of quantum entanglement with nilpotent polynomials: extensive characterization of entanglement and canonical forms

Aikaterini Mandilara, Vladimir M. Akulin, Andrei V. Smilga, Lorenza Viola

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Proceedings Volume 6264, Quantum Informatics 2005; 626402 (2006) https://doi.org/10.1117/12.683104
Event: Quantum Informatics 2005, 2005, Moscow, Russian Federation

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.

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Aikaterini Mandilara, Vladimir M. Akulin, Andrei V. Smilga, and Lorenza Viola "Description of quantum entanglement with nilpotent polynomials: extensive characterization of entanglement and canonical forms", Proc. SPIE 6264, Quantum Informatics 2005, 626402 (31 May 2006); https://doi.org/10.1117/12.683104

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