philophysics / convextool

QVX - a library of convex cones for the study of entanglement

Conic programming library for quantum information

This library provides several useful cones for quantum information research.

• SeparableConeC provides exact/inner and outer approximations of the cone of bipartite separable operators

• AbsoluteRobustnessConeC, GeneralizedRobustnessConeC, RandomRobustnessConeC provide formulations of various robustness-based entanglement measures

• DUBConeC provides an entanglement cone formulation of an entanglement measure due to Duan&Wang, 2016

• NegativityConeC provides a conic formulation of the negativity entanglement measure

Some classes/functions are used internally by the library, but will be useful in other contexts:

• SymmetricSubspace provides methods to work with a canonical basis of the symmetric subspace: index <-> subindices conversion, orbit enumeration. Optimized.

• MultiIndex is an alternative implementation of ind2sub and sub2ind, designed to work with standard (and not cell) arrays. Optimized.

Organization

License

(C) Denis Rosset 2016 Placed under GPL license version 3, except for the files below, that can be distributed either under the original license of the ported code, or the GPL version 3.

Code attribution:

• LibDivide.m is lifted from libdivide, under ZLIB

• JacobiPolynomial.m has parts taken from QETLAB, under 2-Clause BSD