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

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 s...

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Main Authors: Molladavoudi, Saeid, Zainuddin, Hishamuddin
Format: Article
Language:English
Published: Elsevier 2015
Online Access:http://psasir.upm.edu.my/id/eprint/45888/1/POIN.pdf
http://psasir.upm.edu.my/id/eprint/45888/
https://www.sciencedirect.com/science/article/pii/S0393044015001217#!
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spelling my.upm.eprints.458882021-04-29T02:39:20Z http://psasir.upm.edu.my/id/eprint/45888/ Poincare polynomials for Abelian symplectic quotients of pure r-qubits via wall-crossings Molladavoudi, Saeid Zainuddin, Hishamuddin 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. Elsevier 2015-10 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/45888/1/POIN.pdf 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 https://www.sciencedirect.com/science/article/pii/S0393044015001217#! 10.1016/j.geomphys.2015.05.009
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Article
author Molladavoudi, Saeid
Zainuddin, Hishamuddin
spellingShingle Molladavoudi, Saeid
Zainuddin, Hishamuddin
Poincare polynomials for Abelian symplectic quotients of pure r-qubits via wall-crossings
author_facet Molladavoudi, Saeid
Zainuddin, Hishamuddin
author_sort Molladavoudi, Saeid
title Poincare polynomials for Abelian symplectic quotients of pure r-qubits via wall-crossings
title_short Poincare polynomials for Abelian symplectic quotients of pure r-qubits via wall-crossings
title_full Poincare polynomials for Abelian symplectic quotients of pure r-qubits via wall-crossings
title_fullStr Poincare polynomials for Abelian symplectic quotients of pure r-qubits via wall-crossings
title_full_unstemmed Poincare polynomials for Abelian symplectic quotients of pure r-qubits via wall-crossings
title_sort poincare polynomials for abelian symplectic quotients of pure r-qubits via wall-crossings
publisher Elsevier
publishDate 2015
url http://psasir.upm.edu.my/id/eprint/45888/1/POIN.pdf
http://psasir.upm.edu.my/id/eprint/45888/
https://www.sciencedirect.com/science/article/pii/S0393044015001217#!
_version_ 1699238811716812800
score 13.209306

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