Quantum Information Processing by NMR using strongly coupled spins

TL;DR

This paper demonstrates that strongly coupled nuclear spins in NMR can be used for quantum information processing by employing transition-selective pulses, enabling the implementation of quantum algorithms despite loss of individual spin identity.

Contribution

It introduces a method to perform QIP in strongly coupled spin systems using transition-selective pulses, expanding the applicability of NMR quantum computing.

Findings

Successfully prepared pseudopure states in strongly coupled systems

Created maximally entangled states in 2, 3, and 4 spin systems

Implemented Deutsch-Jozsa algorithm in strongly coupled spins

Abstract

The enormous theoretical potential of Quantum Information Processing (QIP) is driving the pursuit for its practical realization by various physical techniques. Currently Nuclear Magnetic Resonance (NMR) has been the forerunner by demonstrating a majority of quantum algorithms. In NMR, spin systems consisting of coupled nuclear spins are utilized as qubits. In order to carry out QIP, a spin system has to meet two major requirements: (i) qubit addressability and (ii) mutual coupling among the qubits. It has been demonstrated that the magnitude of the mutual coupling among qubits can be increased by orienting the spin-systems in a liquid crystal matrix and utilizing the residual dipolar couplings. While utilizing residual dipolar couplings may be useful to increase the number of qubits, nuclei of same species (homonuclei) might become strongly coupled. In strongly coupled spin-systems, spins loose their individual identity of being qubits. We propose that even such strongly coupled spin-systems can be used for QIP and the qubit-manipulation can be achieved by transition-selective pulses. We demonstrate experimental preparation of pseudopure states, creation of maximally entangled states, implementation logic gates and implementation of Deutsch-Jozsa (DJ) algorithm in strongly coupled 2,3 and 4 spin systems. The energy levels of the strongly coupled 3 and 4 spin systems were obtained by using a Z-COSY experiment.