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The Scope of a Relativistic Quantum Process with Spin-Momentum Entanglement

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Unconventional Computation and Natural Computation (UCNC 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10867))

Abstract

Using an imperfectly prepared state, we show that under a Lorentz transformation, the evolution of a massive spin-1/2 particle violates many standard assumptions made in quantum information theory, including complete positivity. Unlike other recent endeavors in relativistic quantum information, we are able to quantify and maximize how much information can be transferred through such a quantum process by calculating the scope. We show that, surprisingly, in many instances the relativistic noise increases the amount of information that can be transferred, and in fact, even if the initial state is arbitrarily close to the completely mixed state, information can still be transferred perfectly.

The rights of this work are transferred to the extent transferable according to title 17 \({\mathbb S}\) 105 U.S.C.

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Acknowledgements

We are grateful to C. Fuchs, K. Martin, and D. Terno for their helpful discussions during the preparation of this manuscript.

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Authors and Affiliations

  1. The Naval Research Laboratory, Washington DC, 20375, USA

    Tanner Crowder & Marco Lanzagorta

Authors
  1. Tanner Crowder
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  2. Marco Lanzagorta
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Corresponding author

Correspondence to Tanner Crowder .

Editor information

Editors and Affiliations

  1. University of York, Heslington, York, United Kingdom

    Susan Stepney

  2. Université Paris-Est Créteil, Créteil, France

    Sergey Verlan

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Crowder, T., Lanzagorta, M. (2018). The Scope of a Relativistic Quantum Process with Spin-Momentum Entanglement. In: Stepney, S., Verlan, S. (eds) Unconventional Computation and Natural Computation. UCNC 2018. Lecture Notes in Computer Science(), vol 10867. Springer, Cham. https://doi.org/10.1007/978-3-319-92435-9_4

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  • DOI: https://doi.org/10.1007/978-3-319-92435-9_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-92434-2

  • Online ISBN: 978-3-319-92435-9

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