NMR experimental realization of seventh-order coupling transformations and the seven-qubit modified Deutsch-Jozsa algorithm

TL;DR

This paper demonstrates a scalable NMR-based method for implementing high-order coupling transformations and applies it to realize a seven-qubit modified Deutsch-Jozsa algorithm, enabling complex entanglement and simulation of multi-body interactions.

Contribution

It introduces a novel scalable approach for constructing f-dependent phase transformations using nth-order couplings in NMR quantum computing, demonstrated on seven qubits.

Findings

Successful experimental realization of seventh-order coupling transformations.

Implementation of a seven-qubit modified Deutsch-Jozsa algorithm.

Potential for creating complex entangled states and simulating n-body interactions.

Abstract

We propose a scalable method on the basis of nth-order coupling operators to construct f-dependent phase transformations in the n-qubit modified Deutsch-Jozsa (D-J) quantum algorithm. The novel n-qubit entangling transformations are easily implemented via J-couplings between neighboring spins. The seven-qubit modified D-J quantum algorithm and seventh-order coupling transformations are then experimentally demonstrated with liquid state nuclear magnetic resonance (NMR) techniques. The method may offer the possibility of creating generally entangled states of n qubits and simulating n-body interactions on n-qubit NMR quantum computers.