Eur. Phys. J. B 24, 23-35 (2001)
https://doi.org/10.1007/s100510170018

Quantum computation based on magic-angle-spinning solid state nuclear magnetic resonance spectroscopy

¹ National Laboratory of Magnetic Resonance and Atomic and Molecular Physics, PO Box 71010, Wuhan, Hubei 430071, PR China
² Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, PO Box 71010, Wuhan, Hubei 430071, PR China
³ Department of Chemistry, National Sun Yat-Sen University, Kaohsiung, Taiwan 807, ROC
⁴ Department of Chemistry, University of British Columbia, 2036 Main Mall, Vancouver, British Columbia, Canada, V6T 1Z1

Corresponding author: ^a ding@mail.nsysu.edu.tw

Received: 19 April 2001
Published online: 15 November 2001

Abstract

Magic-angle spinning (MAS) solid state nuclear magnetic resonance (NMR) spectroscopy is shown to be a promising technique for implementing quantum computing. The theory underlying the principles of quantum computing with nuclear spin systems undergoing MAS is formulated in the framework of formalized quantum Floquet theory. The procedures for realizing state labeling, state transformation and coherence selection in Floquet space are given. It suggests that by this method, the largest number of qubits can easily surpass that achievable with other techniques. Unlike other modalities proposed for quantum computing, this method enables one to adjust the dimension of the working state space, meaning the number of qubits can be readily varied. The universality of quantum computing in Floquet space with solid state NMR is discussed and a demonstrative experimental implementation of Grover's search is given.