Superposition States on Different Axes of the Bloch Sphere for
  Cost-Effective Circuits Realization on IBM Quantum Computers
A proposed method for preparing the superposition states of qubits using
different axes of the Bloch sphere. This method utilizes the Y-axis of the
Bloch sphere using IBM native (square root of X) gates, instead of utilizing
the X-axis of the Bloch sphere using IBM non-native Hadamard gates, for
transpiling cost-effective quantum circuits on IBM quantum computers. In this
paper, our presented method ensures that the final transpiled quantum circuits
always have a lower quantum cost than that of the transpiled quantum circuits
using the Hadamard gates.
A. Al-Bayaty M. Perkowski