Success probability for postselective transformations of pure quantum states
Dmitry Anatolevich Kronberg · Physical Review A · 2022
The situation is studied when an ensemble of pure quantum states is mapped onto another ensemble of pure quantum states. In general, this operation may not be done with unit probability. In this work, the bounds for success probability of such operation are provided, with closed-form expressions involving the Gram matrices and quantum max-relative entropy. We also discuss a partial version of this operation which has arbitrary success probability.