# Tight constraints on probabilistic convertibility of quantum states

@inproceedings{Regula2021TightCO, title={Tight constraints on probabilistic convertibility of quantum states}, author={Bartosz Regula}, year={2021} }

We develop two general approaches to characterising the manipulation of quantum states by means of probabilistic protocols constrained by the limitations of some quantum resource theory. First, we give a general necessary condition for the existence of a physical transformation between quantum states, obtained using a new resource monotone based on the Hilbert projective metric. In all affine quantum resource theories (e.g. coherence, asymmetry, imaginarity) as well as in entanglement…

## One Citation

Probabilistic Transformations of Quantum Resources.

- Computer SciencePhysical review letters
- 2022

This work introduces a new resource monotone that obeys a very strong type of monotonicity that can rule out all transformations, probabilistic or deterministic, between states in any quantum resource theory, and strengthens previous findings and extends recent no-go theorems.

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