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 . These results serve to assess the functioning of the IBM 5Q chips.

Highlights

  • Quantum Computation has become a very exciting, promising and active field of research for hundreds of scientists around the world during the last decades

  • Any desired unitary transformation must be accomplished with just these gates. Another technical detail is that not all the qubits are connected among themselves due to experimental constraints. This means that controlled-NOT operations are restricted to some particular pairs of qubits, as shown in Figure 1

  • It can be argued that superconducting qubits are not the ideal system to be sent over large distances, but it should be considered how dense coding is going to be incorporated into a quantum computer that functions with superconducting qubits

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Summary

Introduction

Quantum Computation has become a very exciting, promising and active field of research for hundreds of scientists around the world during the last decades (see e.g. [1] [2]). Governments, universities and the big companies of the Information Technology sector are investing huge amounts of money, aiming to build a functional quantum computer in the coming years that could have a wide range of applications In this respect, IBM released in 2016 a 5-qubit universal quantum computer prototype accessible on the cloud, based on superconducting qubits: the IBM Quantum Experience [3]. Another technical detail is that not all the qubits are connected among themselves due to experimental constraints This means that controlled-NOT operations (cNOTs) are restricted to some particular pairs of qubits, as shown in Figure 1 (this fact turns out to be relevant in the present implementation of the quantum computer, because it increases the number of gates needed for some circuits, leading to a decrease in performance). Mean results and standard deviations among the five runs have been calculated in all cases

Dense Coding
Quantum Fourier Transform
Bell’s Inequality
Mermin’s Inequalities
Prime State
Findings
Conclusions
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