Kadison-Schwarz divisibility is introduced for quantum dynamical maps and shown to be equivalent to dissipativity of the time-local generator, with a new criterion for qubit Pauli channels.
Now, if Ψ satisfies KS condi- tion (9), then Φ(XX†)≥ Φ(X)Φ(1 l)−1Φ(X†)
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Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality
Kadison-Schwarz divisibility is introduced for quantum dynamical maps and shown to be equivalent to dissipativity of the time-local generator, with a new criterion for qubit Pauli channels.