Geometric measure of entanglement of symmetric d-qubits is polynomial-time computable

Abstract

We give a simple formula for finding the spectral norm of d-mode symmetric tensor in two variables over the complex or real numbers in terms of the complex or real roots of a corresponding polynomial in one complex variable. This result implies that the geometric measure of entanglement of symmetric d-qubits is polynomial-time computable. We discuss a generalization to d-mode symmetric tensor in more than two variables.

revised version, 36 pages, 18 tables

References in corpus (3)

• Multiqubit symmetric states with high geometric entanglement
• The maximally entangled symmetric state in terms of the geometric measure
• Maximally entangled three-qubit states via geometric measure of entanglement

Cited by in corpus (1)

• Theoretical and computational aspects of entanglement