UPM Institutional Repository

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.


Download File

[img] Text
POIN.pdf - Published Version

Download (5kB)

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
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item