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Remote State Preparation for Quantum Fields

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Abstract

Remote state preparation is generation of a desired state by a remote observer. In spite of causality, it is well known, according to the Reeh–Schlieder theorem, that it is possible for relativistic quantum field theories, and a “physical” process achieving this task, involving superoscillatory functions, has recently been introduced. In this work we deal with non-relativistic fields, and show that remote state preparation is also possible for them, hence obtaining a Reeh–Schlieder-like result for general fields. Interestingly, in the nonrelativistic case, the process may rely on completely different resources than the ones used in the relativistic case.

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Notes

  1. Note that \(\mathcal {N}_2\) is, as required, symmetric to exchange of \({\mathbf {x}}\) and \({\mathbf {y}}\).

  2. For some desired states, a finite T will only be achieved at the cost of an additional infidelity. This infidelity could be made arbitrarily small.

  3. This feature ‘protects’ causality. Without it, one could have used this process for signalling.

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Acknowledgments

The authors wish to thank B. Reznik and O. Kenneth for helpful discussions. EZ acknowledges the support of the Alexander-von-Humboldt foundation.

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Authors and Affiliations

  1. School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, 69978, Israel

    Ran Ber

  2. Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748, Garching bei München, Germany

    Erez Zohar

Authors
  1. Ran Ber
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  2. Erez Zohar
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Correspondence to Ran Ber.

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Ber, R., Zohar, E. Remote State Preparation for Quantum Fields. Found Phys 46, 804–814 (2016). https://doi.org/10.1007/s10701-016-0001-3

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