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arXiv · 1506.05516

Poincar\'e polynomials for Abelian symplectic quotients of pure $r$-qubits via wall-crossings

Saeid Molladavoudi·Hishamuddin Zainuddin
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Abstract

In this paper, we compute a recursive wall-crossing formula for the Poincar\'e 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 $r$ quantum bits under action of the maximal torus of Local Unitary operations.

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Saeid Molladavoudi, Hishamuddin Zainuddin. 2015-06-17. Poincar\'e polynomials for Abelian symplectic quotients of pure $r$-qubits via wall-crossings. https://doi.org/10.1016/j.geomphys.2015.05.009

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