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Mixing of quantum states under Markovian dissipation and coherent control

Mixing of quantum states under Markovian dissipation and coherent control

Given any two quantum states $\ensuremath{\rho}$ and $\ensuremath{\sigma}$ in Hilbert spaces of equal dimension satisfying the majorization condition $\ensuremath{\rho}\ensuremath{\succ}\ensuremath{\sigma}$, it is always possible to transform $\ensuremath{\rho}\ensuremath{\mapsto}\ensuremath{\sigma}$ by a unital quantum map. In fact, any such transformation can be achieved just by means of noisy operations, i.e., by access to maximally …