Five Experimental Tests on the 5-Qubit IBM Quantum Computer

TL;DR

This paper reports on five experimental tests conducted on IBM's 5-qubit quantum computer, evaluating its performance in quantum information tasks like dense coding, Fourier transforms, and Bell's inequalities.

Contribution

It provides an empirical assessment of IBM's 5-qubit quantum computer through multiple fundamental quantum experiments, demonstrating its capabilities and limitations.

Findings

Successful implementation of dense coding and quantum Fourier transforms.

Violation of Bell's and Mermin's inequalities observed.

Construction of the prime state |p_3⟩ demonstrated.

Abstract

The 5-qubit quantum computer prototypes that IBM has given open access to on the cloud allow the implementation of real experiments on a quantum processor. We present the results obtained in five experimental tests performed on these computers: dense coding, quantum Fourier transforms, Bell's inequality, Mermin's inequalities (up to $n=5$) and the construction of the prime state $|p_3\rangle$. These results serve to assess the functioning of the IBM 5Q chips.