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A no-summoning theorem in relativistic quantum theory

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Abstract

Alice gives Bob an unknown localized physical state at some point P. At some point Q in the causal future of P, Alice will ask Bob for the state back. Bob knows this, but does not know at which point Q until the request is made. Bob can satisfy Alice’s summons, with arbitrarily short delay, for a quantum state in Galilean space-time or a classical state in Minkowski space-time. However, given an unknown quantum state in Minkowski space-time, he cannot generally fulfil her summons. This no-summoning theorem is a fundamental feature of, and intrinsic to, relativistic quantum theory. It follows from the no-signalling principle and the no-cloning theorem, but not from either alone.

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Authors and Affiliations

  1. Centre for Quantum Information and Foundations, DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, UK

    Adrian Kent

  2. Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, ON, N2L 2Y5, Canada

    Adrian Kent

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Correspondence to Adrian Kent.

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Kent, A. A no-summoning theorem in relativistic quantum theory. Quantum Inf Process 12, 1023–1032 (2013). https://doi.org/10.1007/s11128-012-0431-6

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  • DOI: https://doi.org/10.1007/s11128-012-0431-6

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