Accessible coherence in open quantum system dynamics

Understand

Quantum coherence generated in a physical process can only be cast as a potentially useful resource if its effects can be detected at a later time.

• Recently, the notion of non-coherence-generating-and-detecting (NCGD) dynamics has been introduced and related to the classicality of the statistics associated with sequential measurements at different times.
• However, in order for a dynamics to be NCGD, its propagators need to satisfy a given set of conditions for all triples of consecutive times.
• We reduce this to a finite set of $d(d-1)$ conditions, where $d$ is the dimension of the quantum system, provided that the generator is time-independent.