Let p be a prime, \[p \equiv 1\bmod 4\] and consider \[{\mathbb{Z}_p}\].

Let Q_{p} be the set of all quadratic residues (non-zero squares) in \[{\mathbb{Z}_p}\].

I would like to know if there is a way to list down the elements of Q_{p} in such a way that the difference of any two consecutive elements in the list is also a quadratic residue.

Is this already a theorem? Or are there any theorems that might be relevant in finding a solution for this?

Thanks in advance.