  With the advent of hybrid quantum classical algorithms using parameterized
quantum circuits the question of how to optimize these algorithms and circuits
emerges. In this paper we show that the number of single-qubit rotations in
parameterized quantum circuits can be decreased without compromising the
relative expressibility or entangling capability of the circuit. We also show
that the performance of a variational quantum eigensolver is unaffected by a
similar decrease in single-qubit rotations. We compare relative expressibility
and entangling capability across different number of qubits in parameterized
quantum circuits. High-dimensional qudits as a platform for hybrid quantum
classical algorithms is a rarity in the literature. Therefore we consider
quantum frequency comb photonics as a platform for such algorithms and show
that we can obtain an relative expressibility and entangling capability
comparable to the best regular parameterized quantum circuits.
