Polynomial method to study the entanglement of pure N-qubit states

Abstract

We present a mapping which associates pure N-qubit states with a polynomial. The roots of the polynomial characterize the state completely. Using the properties of the polynomial we construct a way to determine the separability and the number of unentangled qubits of pure N-qubit states.

7 pages. Extensively revised and shortened

References in corpus (10)

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Cited by in corpus (8)

• N-qubit states as points on the Bloch sphere
• A Brief Overview of Bipartite and Multipartite Entanglement Measures
• Majorana representation for mixed states
• Characterization of symmetry-protected topological phases in polymerized models by trajectories of Majorana stars
• Majorana representation, qutrit Hilbert space and NMR implementation of qutrit gates
• Composite Pulses in N-level Systems with SU(2) Symmetry and their Geometrical Representation on the Majorana Sphere
• Geometric decomposition of geodesics and null phase curves using Majorana star representation
• Majorana stellar representation for mixed-spin $(s,\frac{1}{2})$ systems