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Quantum information processing by NMR using strongly coupled spins

Quantum information processing by NMR using strongly coupled spins
Quantum information processing by NMR using strongly coupled spins
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 the same species (homonuclei) might become strongly coupled. In strongly coupled spin-systems, spins lose 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 of 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 using a Z-COSY experiment.
nuclear-magnetic-resonance, transition-selective pulses, logic gates, computation, computer, states, implementation, spectroscopy, algorithm, quadrupolar
932-944
Mahesh, T.S.
1f3272b4-c179-4c5f-be5e-dc534bec4137
Sinha, Neeraj
5b82293d-0811-4d61-b973-15e8631061f5
Ghosh, Arindam
982e889a-4c96-4cb6-827f-7125e4457775
Das, Ranabir
65fdfc85-a65d-492b-92a7-d6b2c73e2116
Suryaprakash, N.
1f620178-e9fb-4a40-b87e-f34f07f9ba7f
Levitt, Malcolm H.
bcc5a80a-e5c5-4e0e-9a9a-249d036747c3
Ramanathan, K.V.
37040d09-9648-4330-be9c-6dd46bfc28ce
Kumar, Anil
133bdc58-f607-4279-bb3f-ac867aa26a79
Mahesh, T.S.
1f3272b4-c179-4c5f-be5e-dc534bec4137
Sinha, Neeraj
5b82293d-0811-4d61-b973-15e8631061f5
Ghosh, Arindam
982e889a-4c96-4cb6-827f-7125e4457775
Das, Ranabir
65fdfc85-a65d-492b-92a7-d6b2c73e2116
Suryaprakash, N.
1f620178-e9fb-4a40-b87e-f34f07f9ba7f
Levitt, Malcolm H.
bcc5a80a-e5c5-4e0e-9a9a-249d036747c3
Ramanathan, K.V.
37040d09-9648-4330-be9c-6dd46bfc28ce
Kumar, Anil
133bdc58-f607-4279-bb3f-ac867aa26a79

Mahesh, T.S., Sinha, Neeraj, Ghosh, Arindam, Das, Ranabir, Suryaprakash, N., Levitt, Malcolm H., Ramanathan, K.V. and Kumar, Anil (2003) Quantum information processing by NMR using strongly coupled spins. Current Science, 85 (7), 932-944.

Record type: Article

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 the same species (homonuclei) might become strongly coupled. In strongly coupled spin-systems, spins lose 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 of 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 using a Z-COSY experiment.

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More information

Published date: 10 October 2003
Keywords: nuclear-magnetic-resonance, transition-selective pulses, logic gates, computation, computer, states, implementation, spectroscopy, algorithm, quadrupolar

Identifiers

Local EPrints ID: 20038
URI: http://eprints.soton.ac.uk/id/eprint/20038
PURE UUID: 4dc1b070-3d63-485a-a8e7-2bd1362672f4
ORCID for Malcolm H. Levitt: ORCID iD orcid.org/0000-0001-9878-1180

Catalogue record

Date deposited: 24 Feb 2006
Last modified: 09 Jan 2022 03:05

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Contributors

Author: T.S. Mahesh
Author: Neeraj Sinha
Author: Arindam Ghosh
Author: Ranabir Das
Author: N. Suryaprakash
Author: K.V. Ramanathan
Author: Anil Kumar

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