ar X iv : 1 70 8 . 02 82 2 v 1 [ qu an t - ph ] 9 A ug 2 01 7 General implementation of arbitrary nonlinear quadrature phase gates

ar X iv : 0 80 8 . 10 23 v 1 [ qu an t - ph ] 7 A ug 2 00 8 CATEGORICAL QUANTUM MECHANICS

ar X iv : 0 70 8 . 29 64 v 1 [ qu an t - ph ] 2 2 A ug 2 00 7 General multipartite entangled states and complex projective variety

We discuss and investigate the geometrical structure of general multipartite states. In particular, we show that a geometrical measure of entanglement for general multipartite states can be constructed by the complex projective varieties defined by quadratic polynomials.

ar X iv : 0 70 6 . 02 37 v 1 [ qu an t - ph ] 1 J un 2 00 7 Quantum Mechanics in Phase Space

In this paper, I am presenting the basics of the Wigner formulation of Quantum-Mechanics in a very simple language and write about few interpretational stuff raised around it.

ar X iv : 0 70 8 . 24 05 v 1 [ qu an t - ph ] 1 7 A ug 2 00 7 PT - symmetry and Integrability ∗

We briefly explain some simple arguments based on pseudo Hermiticity, supersymmetry and PT -symmetry which explain the reality of the spectrum of some non-Hermitian Hamiltonians. Subsequently we employ PT -symmetry as a guiding principle to construct deformations of some integrable systems, the Calogero-Moser-Sutherland model and the Korteweg deVries equation. Some properties of these models ar...

ar X iv : 0 70 6 . 02 37 v 2 [ qu an t - ph ] 1 1 Ju n 20 08 Quantum Mechanics in Phase Space

The basics of the Wigner formulation of Quantum-Mechanics and few related interpretational issues are presented in a simple language. This formulation has extensive applications in Quantum Optics and in Mixed Quantum-Classical formulations.