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Gateway Schemes of Quantum Control for Spin Networks

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Electron Spin Resonance (ESR) Based Quantum Computing

Part of the book series: Biological Magnetic Resonance ((BIMR,volume 31))

Abstract

Towards the full-fledged quantum computing, what do we need? Obviously, the first thing we need is a (many-body) quantum system, which is reasonably isolated from its environment in order to reduce the unwanted effect of noise, and the second might be a good technique to fully control it. Although we would also need a well-designed quantum code for information processing for fault-tolerant computation, from a physical point of view, the primary requisites are a system and a full control for it. Designing and fabricating a controllable quantum system is a hard work in the first place, however, we shall focus on the subsequent steps that cannot be skipped and are highly nontrivial.

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Notes

  1. 1.

    Note that the condition (6) is a stronger property than the condition of controlling n, m by acting on n. According to Eq. (4) the latter in fact reads \( \left\langle i{H}_{nm},\mathcal{L}(n)\right\rangle =\mathcal{L}\left(n,m\right) \), which is implied by Eq. (6).

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Author information

Authors and Affiliations

  1. Department of Chemistry and Materials Science, Osaka City University, Osaka, 558-8585, Japan

    Koji Maruyama

  2. Institute of Mathematics and Physics, Aberystwyth University, Aberystwyth, SY23 3BZ, UK

    Daniel Burgarth

Authors
  1. Koji Maruyama
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  2. Daniel Burgarth
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Correspondence to Koji Maruyama .

Editor information

Editors and Affiliations

  1. Department of Chemistry, Osaka City University Grad School Science, Osaka, Japan

    Takeji Takui

  2. Department of Chemistry and Biochemistry, University of Denver, Denver, Colorado, USA

    Lawrence Berliner

  3. Centre for Advanced Imaging, The University of Queensland, St. Lucia, Queensland, Australia

    Graeme Hanson

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Maruyama, K., Burgarth, D. (2016). Gateway Schemes of Quantum Control for Spin Networks. In: Takui, T., Berliner, L., Hanson, G. (eds) Electron Spin Resonance (ESR) Based Quantum Computing. Biological Magnetic Resonance, vol 31. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-3658-8_6

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