Is full Homomorphic encryption quantum resistant? Since most of our asymmetric encryption algorithms are going to be out-of-date in a couple of year due to Shor's algorithm, I was wondering about the future of FHE schemes. 
I have found this paper, which states:

"It is impossible to construct secure group homomorphic encryption in the
quantum world, if the plain-text and cipher-text spaces form abelian groups."

And I'm asking: are there any candidates which are also quantum resistant?
Actually, most of the primitives that are currently believed to be secure FHE methods would appear to be quantum resistant; a partial list would include Craig Gentry's original scheme based on ideal lattices, BGV (based on ring-LWE), and this NTRU-based approach.  All three are based on hard problems that are not susceptible to Shor's algorithm.