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Implementation of State Transfer Hamiltonians in Spin Chains with Magnetic Resonance Techniques

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Quantum State Transfer and Network Engineering

Part of the book series: Quantum Science and Technology ((QST))

Abstract

Nuclear spin systems and magnetic resonance techniques have provided a fertile platform for experimental investigation of quantum state transfer in spin chains. From the first observation of polarization transfer, predating the formal definition of quantum state transfer, to the realization of state transfer simulations in small molecules and in larger solid-state spin systems, the experiments have drawn on the strengths of nuclear magnetic resonance (NMR), in particular on its long history of well-developed control techniques. NMR implementations have been invaluable both as proof-of-principle demonstrations of quantum state transfer protocols and to explore dynamics occurring in real systems that go beyond what can be analytically solved or numerically simulated. In addition, control techniques developed in these systems to engineer the Hamiltonians required for transport can be adopted in potentially scalable quantum information processing architectures. In this contribution we describe recent results and outline future directions of research in magnetic-resonance based implementations of quantum state transfer in spin chains.

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Acknowledgements

It is a pleasure to thank David Cory, Chandrasekhar Ramanathan and Lorenza Viola for a fruitful collaboration on magnetic-resonance based transport in spin chains. P.C. acknowledges partial support from the National Science Foundation under Grant No. DMR-1005926 and by AFOSR.

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  1. Nuclear Science and Engineering Department, Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, 01239, USA

    Paola Cappellaro

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  1. Institute of Electronic Structure and Laser, Foundation for Research and Technology - Hellas, Heraklion, Greece

    Georgios M. Nikolopoulos

  2. Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University Department of Physics, Prague, Czech Republic

    Igor Jex

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Cappellaro, P. (2014). Implementation of State Transfer Hamiltonians in Spin Chains with Magnetic Resonance Techniques. In: Nikolopoulos, G., Jex, I. (eds) Quantum State Transfer and Network Engineering. Quantum Science and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39937-4_6

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