  In this paper we construct quantum theta functions over noncommutative T^d
with general embeddings. Manin has constructed quantum theta functions from the
lattice embedding into vector space x finite group. We extend Manin's
construction of quantum thetas to the case of general embedding of vector space
x lattice x torus. It turns out that only for the vector space part of the
embedding there exists the holomorphic theta vector, while for the lattice part
there does not. Furthermore, the so-called quantum translations from embedding
into the lattice part become non-additive, while those from the vector space
part are additive.
