Quantum just means something that can be counted or measured, usually in discrete amounts like whole number. Assuming the audits and entries are discrete and transactional, the word makes sense. But yeah, it just looks like they are trying to go for marketing buzzwords.
In the context of computing technology, “quantum” is not the appropriate term, and I only agree it makes sense with the most generous interpretation of the term, whose meaning you describe finds itself mostly in certain physical theories. They could have used the word “discrete”, which is overwhelmingly more contextually accurate, if that’s what they mean.
I don't see why it wouldn't be appropriate. Within the context of computing, there is no one set meaning of "quantum". In fact, there are at least three:
1. Quantum computing, as in quantum physics.
2. Time quantum, as in the time slices a multitasking scheduler gives to threads.
3. Quantum Corporation, the disk/tape storage company.
Seems like there is room for one more meaning. They probably mean "quantum" as in "quantum leap" since this is a different paradigm for ledgers. It makes sense to me.