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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?

Nielsen and Chuang's statement of Kraus' Theorem includes the inequality $$ \sum_k A_k^* A_k \leq I.$$ What does this inequality represent? What quantities are being compared by this symbol?
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