Answer by glS for What is the "complementary map" of a channel with given...
I'll discuss a slightly different approach to obtain the same result given in the other answer.You are given a completely positive quantum map in Kraus representation: some $\Phi:\mathrm L(\mathcal...
View ArticleAnswer by John Watrous for What is the "complementary map" of a channel with...
Let's start by finding a complementary channel for any channel given by a Kraus representation$$\Phi(X) = \sum_{k=1}^n A_k X A_k^{\dagger}.$$To make the necessary equations clear, let us assume that...
View ArticleWhat is the "complementary map" of a channel with given Kraus decomposition?
I have a quantum map described by the following Kraus operators$$A_0 = c_0 \begin{pmatrix} 1 & 0\\ 0 & 1 \end{pmatrix},\qquad A_1 = c_1 \begin{pmatrix} 1 & 0\\ 0 & -1...
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