Informational Time by Gunn Alex Quznetsov

It would then appear however that quantum bits, where information is preserved in a system, evolve reversibly up to the moment we make a measurement of them. A clock is a measurement system, and so to measure a "fine grained" notion of time on the quantal level might result in some irreversible destruction of entanglements. Of course quantum erasure procedures and third ancillary emtamged states can be used. I am uncertain whether this adequately would capture the measurement of anything we might call quantum time.

cheers,

L. C.