Critical points of the linear entropy for pure L-qubit states

Abstract

We present a substancially improved version of the method proposed in Sawicki et al (2012, 2014) for finding critical points of the linear entropy for L-qubit system. The new approach is based on the corespondance between momentum maps for abelian and non-abelian groups, as described in Kirwan (1984). The proposed method can be implemented numerically much easier than the previous one.

16 pages, 3 figures

References in corpus (1)

• Linear entropy as an entanglement measure in two-fermion systems

Cited by in corpus (2)

• Asymptotic properties of entanglement polytopes for large number of qubits
• Poincaré polynomials for Abelian symplectic quotients of pure $r$-qubits via wall-crossings