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Conference on Quantum Computation, Communication, and Cryptography

TQC 2010: Theory of Quantum Computation, Communication, and Cryptography pp 175–186Cite as

Teleportation of a Quantum State of a Spatial Mode with a Single Massive Particle

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6519))

Abstract

Mode entanglement exists naturally between regions of space in ultra-cold atomic gases. It has, however, been debated whether this type of entanglement is useful for quantum protocols. This is due to a particle number superselection rule that restricts the operations that can be performed on the modes. In this paper, we show how to exploit the mode entanglement of just a single particle for the teleportation of an unknown quantum state of a spatial mode. We detail how to overcome the superselection rule to create any initial quantum state and how to perform Bell state analysis on two of the modes. We show that two of the four Bell states can always be reliably distinguished, while the other two have to be grouped together due to an unsatisfied phase matching condition. The teleportation of an unknown state of a quantum mode thus only succeeds half of the time.

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Author information

Authors and Affiliations

  1. Clarendon Laboratory, Department of Physics, University of Oxford, Oxford, OX1 3PU, UK

    Libby Heaney

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  1. Libby Heaney
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of California, 93106-5110, Santa Barbara, CA, USA

    Wim van Dam

  2. School of Physics and Astronomy, University of Leeds, LS2 9JT, Leeds, UK

    Vivien M. Kendon

  3. Department of Physics and Astronomy, University College London, WC1E 6BT, London, UK

    Simone Severini

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Heaney, L. (2011). Teleportation of a Quantum State of a Spatial Mode with a Single Massive Particle. In: van Dam, W., Kendon, V.M., Severini, S. (eds) Theory of Quantum Computation, Communication, and Cryptography. TQC 2010. Lecture Notes in Computer Science, vol 6519. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18073-6_15

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  • DOI: https://doi.org/10.1007/978-3-642-18073-6_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-18072-9

  • Online ISBN: 978-3-642-18073-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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