PPTMixer: A tool to detect genuine multipartite entanglement

Test whether a given quantum-mechanical state is genuinely multipartite entangled.

The provided functions tackle a common problem in the field of quantum information. Given an arbitrary multiparticle state, is it genuinely multipartite entangled ? If the state is detected as entangled, the functions also provide a so-called entanglement witness for it.

Besides a documentation, the zip-file contains functions for the detection and quantification of genuine multipartite entanglement. For this purposes, the ideas of B. Jungnitsch, T. Moroder and O. Gühne, Phys. Rev. Lett. 106, 190502 (2011) (or http://arxiv.org/abs/1010.6049) are applied.

More precisely, the following files are provided:

* fdecwit.m
A function to detect genuine multipartite entanglement of a multipartite state of any dimension. In case the state is detected as entangled, it also provides a witness.

* fpptwit.m
This function also detects genuine multipartite entanglement and provides a witness. However, the involved minimization is less complex. Therefore, although it detects fewer states, this function is feasible for a higher number of particles.

* entmon.m
Evaluates the entanglement monotone presented in Phys. Rev. Lett. 106, 190502 (2011) for a multipartite state.

* pt.m
An auxiliary function to calculate the partial transpose of a hermitian operator.