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Implementing Logic Gates and the Deutsch-Jozsa Quantum Algorithm by Two-Dimensional NMR Using Spin- and Transition-Selective Pulses

Mahesh, TS and Dorai, Kavita and Arvind, * and Kumar, Anil (2001) Implementing Logic Gates and the Deutsch-Jozsa Quantum Algorithm by Two-Dimensional NMR Using Spin- and Transition-Selective Pulses. In: Journal of Magnetic Resonance, 148 (1). pp. 95-103.

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Abstract

Quantum logical operations using two-dimensional NMR have recently been described using the scalar coupling evolution technique [J. Chem. Phys. 109, 10603 (1998)]. In the present paper, we describe the implementation of quantum logical operations using two-dimensional NMR, with the help of spin- and transition-selective pulses. A number of logic gates are implemented using two and three qubits with one extra observer spin. Some many-in-one gates (or Portmanteau gates) are also implemented. Toffoli gate (or AND/NAND gate) and OR/NOR gates are implemented on three qubits. The Deutsch-Jozsa quantum algorithm for one and two qubits, using one extra work qubit, has also been implemented using spin- and transition-selective pulses after creating a coherent superposition state in the two-dimensional methodology.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Elsevier Science.
Keywords: Two-dimensional NMR;quantum computation;logic gate;Toffoli gate;Deutsch-Jozsa algorithm.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 20 Aug 2009 11:22
Last Modified: 19 Sep 2010 04:55
URI: http://eprints.iisc.ernet.in/id/eprint/17036

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