Don’t use abstract types for struct fields, as explained in the manual. If you want to support any type of AbstractArray here, then you can do:
mutable struct mystate{Tq,Tv<:AbstractVector{Tq}}
x::Tv
end
or simply
mutable struct mystate{Tv<:AbstractVector}
x::Tv
end
(AbstractVector{T} is just a convenient synonym for AbstractArray{T,1}.)