Quantum Group SU_{q}(2) and Pairing in Nuclei

A scheme for treating the pairing of nucleons in terms of generators of Quantum Group SU_{q}(2) is presented. The possible applications to nucleon pairs in a single orbit, multishell case, pairing vibrations and superconducting nuclei are discussed. The formalism for performing BCS calculations with q-deformed nucleon pairs is constructed and the role played by deformation parameter q analyzed in the context of nucleons in a single orbit and for Sn Isotopes.Comment: 6 Pages, No figures, To be published in Proceedings of International Conference "Geometrical Aspects of Quantum Fields", Londrina PR, April 2000, World Scientifi

Genuine Four Tangle for Four Qubit States

We report a four qubit polynomial invariant that quantifies genuine four-body correlations. The four qubit invariants are obtained from transformation properties of three qubit invariants under a local unitary on the fourth qubit.Comment: 03 pages, This short communication is a contribution to the proceedings of QCMC 2012 held in Vienna, Austria, July 30th to August 3rd 201

Quantum coherences, K-way negativities and multipartite entanglement

A characterization of N-partite states, based on K-way (K = 2 to N) negativities, is proposed. The K-way partial transpose with respect to a subsystem is defined so as to shift the focus to K-way coherences instead of K subsystems of the composite system. For an N-partite system the fraction of K-way negativity, contributing to global negativity, is obtained. The entanglement measures for a given state ${\rho}$ are identified as the partial K-way negativities of the corresponding canonical state.Comment: 09 pages, revtex, new section adde