Cone oracles (qics.cones)

This module contains classes representing conic sets which users use to define the Cartesian product of cones \(\mathcal{K}\) the conic program is defined over. These classes contain feasibility, gradient, Hessian product, inverse Hessian product, and third order derivative oracles which are required by the interior-point algorithm. Symmetric cones contain additional oracles for computing the Nesterov-Todd scalings and other related functions.

Symmetric cones

NonNegOrthant(n)	Nonnegative orthant
PosSemidefinite(n[, iscomplex])	Positive semidefinite cone
SecondOrder(n)	Second order cone

Classical entropy cones

ClassEntr(n)	Classical entropy cone
ClassRelEntr(n)	Classical relative entropy cone

Quantum entropy cones

QuantEntr(n[, iscomplex])	Quantum entropy cone
QuantRelEntr(n[, iscomplex])	Quantum relative entropy cone
QuantCondEntr(sys, dims[, iscomplex])	Quantum conditional entropy cone
QuantKeyDist(G_info, K_info[, iscomplex])	Quantum key distribution cone

Operator perspective cones

OpPerspecTr(n, func[, iscomplex])	Trace operator perspective cone
OpPerspecEpi(n, func[, iscomplex])	Operator perspective epigraph

Renyi entropy cones

RenyiEntr(n, alpha[, iscomplex])	Renyi entropy cone
SandRenyiEntr(n, alpha[, iscomplex])	Sandwiched Renyi entropy cone
QuasiEntr(n, alpha[, iscomplex])	Quasi-relative entropy cone
SandQuasiEntr(n, alpha[, iscomplex])	Sandwiched quasi-relative entropy cone