Superposition States on Different Axes of the Bloch Sphere for Cost-Effective Circuits Realization on IBM Quantum Computers

TL;DR

This paper introduces a method for preparing qubit superposition states on different axes of the Bloch sphere, optimizing circuit cost on IBM quantum computers by using native gates instead of non-native Hadamard gates.

Contribution

The paper proposes a novel approach that leverages native gates to reduce quantum circuit cost when preparing superposition states on IBM quantum hardware.

Findings

Transpiled circuits using the proposed method have lower quantum cost.

The method improves circuit efficiency by utilizing native gates.

Cost reduction is consistent across different superposition states.

Abstract

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.