# Is metric a classical or a quantum field in General Relativity?

I am currently reading the article of A Castro about $AdS_3/CFT_2$. I have a confusion in reconciling several definitions. It appears that I've understood them imprecisely or may be wrong. These definitions are:

Einstein gravity, Quantum gravity and General Relativity.

Here are several quotes which I want to understand:

Semi-classical regime of pure general relativity...

Does it mean that there can be quantum regime of general relativity?
I have found that in semi-classical gravity we consider matter fields to be quantum while gravity field(metric) to be classical one. "Pure" means that we consider only gravity field without matter fields

Einstein gravity with cosmological constant of Plank scale...
Gravity in strongly coupled regime, where quantum effects are of order one...

As I believe now, in order for all these quotes to hold simultaneously I have to state that Einstein gravity, Quantum gravity and General Relativity are all synonyms. I also must assume that strong coupling equals quantum regime of gravity theory.

I was under impression that General Relativity (the same thing as Einstein gravity) is classical regime of Quantum gravity. Hence GR doesn't consider metric to be quantum field. Yet this doesn't seem to hold simultaneously with aforementioned quotes.