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Spin Chains as Data Buses, Logic Buses and Entanglers

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Quantum State Transfer and Network Engineering

Abstract

In this contribution, we describe some uses of the nonequilibrium dynamics of a spin chain in connecting remote registers for scalable quantum information processing. We first present a brief motivation, and a basic scheme to illustrate the idea of quantum state transfer through a spin chain. This is followed by an outline survey (by no means exhaustive) of the progress to date. We then describe one of the recently proposed methods which provides a high fidelity state transfer with minimal engineering, encoding and control. Next we present a couple of protocols for using nonequilibrium dynamics induced by quenches for establishing entanglement between well separated spins – these use the natural entanglement in a canonical condensed matter system, namely the Kondo system, but convert it to a useful form through the dynamics. Finally the possibility of usage of spin chains for quantum logic between remote registers is discussed along with a specific application to atomic systems.

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Acknowledgements

SB acknowledges the support of an ERC grant. Much of the reviewed work was supported, when it was done, by the EPSRC, the Royal Society and the Wolfson Foundation. LB and PV want to thank their collaborators in the work reported, namely, Tony John George Apollaro, Alessandro Cuccoli and Ruggero Vaia. PS thanks CNPq (Brazil) and the EC Seventh Framework Programme (FP7/2007–2013) under grant 295234-FP7-PEOPLE-2011-IRSES (project QICFT) for financial support. P.V. acknowledges financial support from the Consiglio Nazionale delle Ricerche, in the framework of the Short Term Mobility Program 2010.

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Bose, S., Bayat, A., Sodano, P., Banchi, L., Verrucchi, P. (2014). Spin Chains as Data Buses, Logic Buses and Entanglers. 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_1

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