Poincare polynomials for Abelian symplectic quotients of pure r-qubits via wall-crossings

Citation

Molladavoudi, Saeid and Zainuddin, Hishamuddin (2015) Poincare polynomials for Abelian symplectic quotients of pure r-qubits via wall-crossings. Journal of Geometry and Physics, 96. pp. 26-35. ISSN 0393-0440

Abstract

In this paper, we compute a recursive wall-crossing formula for the Poincaré polynomials and Euler characteristics of Abelian symplectic quotients of a complex projective manifold under a special effective action of a torus with non-trivial characters. An analogy can be made with the space of pure states of a composite quantum system containing -quantum bits under action of the maximal torus of Local Unitary operations.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science Institute for Mathematical Research
DOI Number:	https://doi.org/10.1016/j.geomphys.2015.05.009
Publisher:	Elsevier
Keywords:	Poincaré polynomials; n-dimensional polytopes; Multi-particle quantum states
Depositing User:	Ms. Nuraida Ibrahim
Date Deposited:	29 Apr 2021 02:39
Last Modified:	29 Apr 2021 02:39
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.geomphys.2015.05.009
URI:	http://psasir.upm.edu.my/id/eprint/45888
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