relEntropy

This is a MATLAB routine for computing the relative entropy of entanglement of input bipartite density matrices.

Standard usage:

[Xopt,relEnt] = relEntropy(m,n,rho);

where

• m,n are dimensions of subspaces
• rho is input mn x mn density matrix
• Xopt is closest PPT state to rho
• relEnt is numerical approximation to the relative entropy of entanglement of rho

Requirements

• MATLAB
• CVX by CVX Research, Inc. (http://cvxr.com/cvx/)
• PartialTranspose routine from QETLAB (http://www.qetlab.com) (see: (https://github.com/nathanieljohnston/QETLAB/blob/master/PartialTranspose.m))

References

M.W. Girard, Y. Zinchenko, S. Friedland, and G. Gour. Erratum: Numerical estimation of the relative entropy of entanglement. [Phys. Rev. A 91, 029901] (https://journals.aps.org/pra/abstract/10.1103/PhysRevA.91.029901) (2015).

Y. Zinchenko, S. Friedland, and G. Gour. Numerical estimation of the relative entropy of entanglement. Phys. Rev. A 82, 052336 (2010).