Quantum state tomography and quantum logical operations in a three qubits NMR quadrupolar system

TL;DR

This paper demonstrates quantum logic gates and algorithms in a three-qubit NMR quadrupolar system using strong modulating pulses, verified by quantum state tomography, highlighting the method's advantages and challenges.

Contribution

It introduces the implementation of quantum protocols in a three-qubit quadrupolar NMR system using SMP, with experimental verification via QST.

Findings

Successful implementation of Toffoli, Deutsch-Jozsa, and Grover algorithms.

Verification of quantum states through quantum state tomography.

Discussion of advantages and challenges of SMP in quadrupolar systems.

Abstract

In this work, we present an implementation of quantum logic gates and algorithms in a three effective qubits system, represented by a (I = 7/2) NMR quadrupolar nuclei. To implement these protocols we have used the strong modulating pulses (SMP). The various stages of each implementation were verified by quantum state tomography (QST). It is presented here the results for the computational base states, Toffolli logic gates, and Deutsch-Jozsa and Grover algorithms. Also, we discuss the difficulties and advantages of implementing such protocols using the SMP technique in quadrupolar systems.