Implementation of the quantum Fourier transform on a hybrid qubit-qutrit NMR quantum emulator

TL;DR

This paper presents a method to implement the quantum Fourier transform for hybrid qubit-qutrit systems using NMR technology, demonstrating the first experimental realization on an emulator.

Contribution

It develops a circuit decomposition for hybrid qudits and demonstrates its implementation on an NMR quantum emulator, advancing qudit-based quantum computing.

Findings

Successful experimental implementation of hybrid qudit QFT

Demonstration of selective rotations for generalized gates

First NMR-based realization of qubit-qutrit QFT

Abstract

The quantum Fourier transform (QFT) is a key ingredient of several quantum algorithms and a qudit-specific implementation of the QFT is hence an important step toward the realization of qudit-based quantum computers. This work develops a circuit decomposition of the QFT for hybrid qudits based on generalized Hadamard and generalized controlled-phase gates, which can be implemented using selective rotations in NMR. We experimentally implement the hybrid qudit QFT on an NMR quantum emulator, which uses four qubits to emulate a single qutrit coupled to two qubits.