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NMR Quantum Computing

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Advances in Applied Mathematics and Global Optimization

Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 17))

Summary

Quantum computing is at the forefront of scientific and technological research and development of the 21st century. NMR quantum computing is one the most mature technologies for implementing quantum computation. It utilizes the motion of spins of nuclei in custom-designed molecules manipulated by RF pulses. The motion is on a nano- or microscopic scale governed by the Schrödinger equation in quantum mechanics. In this chapter, we explain the basic ideas and principles of NMR quantum computing, including basic atomic physics, NMR quantum gates, and operations. New progress in optically addressed solid-state NMR is expounded. Examples of Shor’s algorithm for factorization of composite integers and the quantum lattice-gas algorithm for the diffusion partial differential equation are also illustrated.

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Authors and Affiliations

  1. Department of Mathematics, Texas A&M University, College Station, 77843, TX, USA

    Zhigang Zhang & Goong Chen

  2. Department of Mathematics, Ohio University, 43950, Eastern, St., Clairsville, OH, USA

    Zijian Diao

  3. Department of Electrical and Computer Engineering, Texas A&M University, College Station, 77843, TX, USA

    Philip R. Hemmer

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  1. Dept. Mathematics, Virginia Tech, McBryde Hall 524, Blacksburg, 24061, U.S.A.

    David Y. Gao

  2. State University, Dept. Industrial & Systems Engineering, Virginia Polytechnic Institute &, Whittemore Hall 547, Blacksburg, 24061, U.S.A.

    Hanif D. Sherali

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Zhang, Z., Chen, G., Diao, Z., Hemmer, P.R. (2009). NMR Quantum Computing. In: Gao, D., Sherali, H. (eds) Advances in Applied Mathematics and Global Optimization. Advances in Mechanics and Mathematics, vol 17. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-75714-8_14

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