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For questions about quantum channels or more generally quantum maps and the related formalism. For questions about unitary operations, please use quantum-gate instead.

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What does the inequality $\sum_k A_k^* A_k \leq I$ represent in Kraus' theorem?

$\sum_k A_k^\dagger A_k \leq 1$ is basically a statement about how trace-preserving the operator is. The simplest example of this is a 2 level system that emits energy randomly. It has the Kraus opera …
Billy Ballico's user avatar