Optimal Ancilla-free Pauli+V Circuits for Axial Rotations
  Recently Neil Ross and Peter Selinger analyzed the problem of approximating z- rotations by means of single-qubit Clifford+T circuits. Their main contribution is a deterministic-search technique which allowed them to make approximating circuits shallower. We adapt the deterministic-search technique to the case of Pauli+V circuits and prove similar results. Because of the relative simplicity of the Pauli+V framework, we use much simpler geometric methods. 
Andreas Blass, Alex Bocharov, and Yuri Gurevich
quant-ph