Characterization of affine automorphisms and ortho-order automorphisms of quantum probabilistic maps

In quantum mechanics, often it is important for the representation of quantum system to study the structure-preserving bijective maps of the quantum system. Such maps are also called isomorphisms or automorphisms. In this note, using the Uhlhorn-type of Wigner's theorem, we characterize all affine automorphisms and ortho-order automorphisms of quantum probabilistic maps

Frozen the l1l_1-norm of coherence under strictly incoherent operations

Quantum coherence as an important physical resource plays the key role in implementing various quantum tasks, whereas quantum coherence is often deteriorated due to the system-environment interacting. We analyse under which dynamical conditions the $l_1$-norm of coherence is unaffected for an initial coherent state in a strictly incoherent operation (SIO). Based on this analysis, we give a complete classification of coherent states from operational coherence theory. This may provide an insightful physical interpretation for frozen phenomena of quantum coherence.Comment: 11 pages, 34 reference