qics.cones.QuantEntr¶

class qics.cones.QuantEntr(n, iscomplex=False)[source]¶

A class representing a (homogenized) quantum entropy cone

\[\mathcal{QE}_{n} = \text{cl}\{ (t, u, X) \in \mathbb{R} \times \mathbb{R}_{++} \times \mathbb{H}^n_{++} : t \geq -u S(u^{-1}X) \},\]

where

\[S(X) = -\text{tr}[X \log(X)],\]

is the quantum (von Neumann) entropy function.

Parameters:

nint: Dimension of the matrix \(X\).
iscomplexbool: Whether the matrix \(X\) is defined over \(\mathbb{H}^n\) (True), or restricted to \(\mathbb{S}^n\) (False). The default is False.