title: Implementing logic gates and the Deutsch-Jozsa quantum algorithm by two-dimensional NMR using spin- and transition-selective pulses.
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.
authors.affiliation: Department of Physics, Indian Institute of Science, Bangalore, 560012, India.
authors.forename: T S
authors.initials: TS
authors.lastname: Mahesh
authors.forename: K
authors.initials: K
authors.lastname: Dorai
authors.lastname: Arvind
authors.forename: A
authors.initials: A
authors.lastname: Kumar