Journal
JOURNAL OF MAGNETIC RESONANCE
Volume 148, Issue 1, Pages 95-103Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1006/jmre.2000.2225
Keywords
two-dimensional NMR; quantum computation; logic gate; Toffoli gate; Deutsch-Jozsa algorithm
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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. (C) 2001 Academic Press.
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