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
Construction and Implementation of NMR Quantum Logic Gates for Two Spin Systems
✍ Scribed by M.D. Price; S.S. Somaroo; C.H. Tseng; J.C. Gore; A.F. Fahmy; T.F. Havel; D.G. Cory
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 84 KB
- Volume
- 140
- Category
- Article
- ISSN
- 1090-7807
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✦ Synopsis
The implementation of small prototype quantum computers has been studied through ensemble quantum computing via NMR measurements. In such laboratory studies it is convenient to have access to a wide array of logic gates. Here a systematic approach to reduce the logic gate to an NMR pulse sequence is introduced. This approach views the truth table for a quantum logic operation as a permutation matrix that corresponds to a propagator for an NMR transition. This propagator is then used as the starting point for the derivation of a pulse sequence. Pulse sequences for all the permutations of a four level system are reported along with implementations of representative examples on a two spin-1 2 system, 13 C-labeled chloroform.
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