Implementation of two-qubit and three-qubit quantum computers using liquid-state nuclear magnetic resonance
Article first published online: 30 JAN 2012
DOI: 10.1002/cmr.a.21222
Copyright © 2012 Wiley Periodicals, Inc.
1552-5023/asset/cover.gif?v=1&s=1cd1f90fee21b1e8f663963ff693f586fc2a1675 "Concepts in Magnetic Resonance Part A")
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How to Cite
Golze, D., Icker, M. and Berger, S. (2012), Implementation of two-qubit and three-qubit quantum computers using liquid-state nuclear magnetic resonance. Concepts Magn. Reson., 40A: 25–37. doi: 10.1002/cmr.a.21222
Publication History
- Issue published online: 30 JAN 2012
- Article first published online: 30 JAN 2012
- Manuscript Accepted: 23 DEC 2011
- Manuscript Revised: 10 NOV 2011
- Manuscript Received: 25 JUL 2011
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Keywords:
- quantum computer;
- NMR;
- initialization;
- pseudo-pure state;
- spatial averaging
Abstract
The field of quantum computing has grown rapidly in the last years. Most realizations of quantum computers were done on liquid-state NMR quantum computers so far. We present in a didactic approach how to build small NMR quantum computers with two and three qubits. The two-qubit quantum computer was implemented on α-D-methylglucose using 13C spins, whereas the three-qubit quantum computer was implemented on 4-bromo-1,1,2-trifluoro-1-butene using 19F spins. We describe in detail how to initialize these systems by generating pseudo-pure states. For initialization, we used the spatial averaging method, which has the advantage that it can be easily understood by product operators. Furthermore, the implementation of quantum logic gate operations will be presented. © 2012 Wiley Periodicals, Inc. Concepts Magn Reson Part A 40: 25–37, 2012.