Ts. Mahesh et A. Dorai, K",arvind,"kumar, Implementing logic gates and the Deutsch-Jozsa quantum algorithm by two-dimensional NMR using spin- and transition-selective pulses, J MAGN RES, 148(1), 2001, pp. 95-103
Quantum logical operations using two-dimensional NMR have recently been des
cribed using the scalar coupling evolution technique [J. Chem. Phys. 109, 1
0603 (1998)]. In the present paper, we describe the implementation of quant
um 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 quant
um algorithm for one and two qubits, using one extra work qubit, has also b
een implemented using spin- and transition-selective pulses after creating
a coherent superposition state in the two-dimensional methodology. (C) 2001
Academic Press.