Implementing Logic Gates and the Deutsch–Jozsa Quantum Algorithm by Two-Dimensional NMR Using Spin- and Transition-Selective Pulses
✍ Scribed by T.S. Mahesh; Kavita Dorai; Arvind; Anil Kumar
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 157 KB
- Volume
- 148
- Category
- Article
- ISSN
- 1090-7807
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✦ Synopsis
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.