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Journal of Magnetic Resonance

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

T. S. Mahesh, Kavita Dorai, Arvind, Anil Kumar

Published Jan 1, 2001• 37 citations
Publisher
DOI
10.1006/jmre.2000.2225

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