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

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

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.

Original languageEnglish
Title of host publicationQuantum Informatics 2005
DOIs
Publication statusPublished - Jul 24 2006
EventQuantum Informatics 2005 - Moscow, Russian Federation
Duration: Oct 3 2005Oct 7 2005

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume6264
ISSN (Print)0277-786X

Other

OtherQuantum Informatics 2005
CountryRussian Federation
CityMoscow
Period10/3/0510/7/05

    Fingerprint

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

Mandilara, A., Akulin, V. M., Smilga, A. V., & Viola, L. (2006). Description of quantum entanglement with nilpotent polynomials: Extensive characterization of entanglement and canonical forms. In Quantum Informatics 2005 [626402] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 6264). https://doi.org/10.1117/12.683104