Since you are interested in quantum simulation, I would actually suggest reading Feynman and Hibbs Quantum Mechanics and Path Integrals. It is very cheap which is a big plus and also remarkably readable as everything Feynman wrote is. Even though the book would be considered advanced because path integrals are considered advanced, much of what the book does is frame fairly basic statistical mechanics in terms of path integrals.
There are other very good reasons to read this book based on your question. One is that Feynman did some of the earliest work on very low temperature Helium which is about as quantum of a fluid as one can get. Helium turns into a super-fluid at very low temperatures, and one can understand and model this using path integrals quite naturally. This is actually discussed a bit in the book. Feynman also provides a nice introduction to some of the problems which are still major problems in quantum statistical mechanics today. Those being things like the "sign problem" (of which there are actually a few different ones).
As far as academic literature goes, this isn't molecular dynamics, but I would suggest reading the review on the theory of condensed helium, Rev. Mod. Phys. 67, 279, as he gives a very nice introduction to path integral monte carlo and actually closes the loop on a lot of the things Feynman discusses in the book I mentioned before. Also, there are a lot more conceptual similarities between path integral monte carlo and path integral molecular dynamics than between ordinary monte carlo and ordinary molecular dynamics.
Finally, you should absolutely read the following paper: Chandler, D., & Wolynes, P. G. (1981). Exploiting the isomorphism between quantum theory and classical statistical mechanics of polyatomic fluids. The Journal of Chemical Physics, 74(7), 4078-4095.
This paper uses the fact that the propagator of path integrals in imaginary time has the same form as the classical partition function of a classical system in an extended phase space.
Finally, for more modern work in PIMD, I would suggest looking at the work of Michele Ceriotti, who is one of the primarily developers of i-PI, which is a good package for doing PIMD simulations.