Implementing logic gates and the Deutsch-Jozsa quantum algorithm by two-dimensional NMR using spin- and transition-selective pulses

Mahesha, T. S. ; Dorai, Kavita ; Arvind, Arvind ; Anil Kumar, (2001) Implementing logic gates and the Deutsch-Jozsa quantum algorithm by two-dimensional NMR using spin- and transition-selective pulses Journal of Magnetic Resonance, 148 (1). pp. 95-103. ISSN 1090-7807

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S10907...

Related URL: http://dx.doi.org/10.1006/jmre.2000.2225

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:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Two-dimensional NMR; Quantum Computation; Logic Gate; Toffoli Gate; Deutsch-jozsa Algorithm
ID Code:720
Deposited On:25 Sep 2010 04:59
Last Modified:12 May 2011 08:49

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