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The uncertainty principle enables non-classical dynamics in an interferometer

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  • Oscar C. O. Dahlsten

    (Atomic and Laser Physics, Clarendon Laboratory, University of Oxford
    Center for Quantum Technologies, National University of Singapore)

  • Andrew J. P. Garner

    (Atomic and Laser Physics, Clarendon Laboratory, University of Oxford)

  • Vlatko Vedral

    (Atomic and Laser Physics, Clarendon Laboratory, University of Oxford
    Center for Quantum Technologies, National University of Singapore)

Abstract

The quantum uncertainty principle stipulates that when one observable is predictable there must be some other observables that are unpredictable. The principle is viewed as holding the key to many quantum phenomena and understanding it deeper is of great interest in the study of the foundations of quantum theory. Here we show that apart from being restrictive, the principle also plays a positive role as the enabler of non-classical dynamics in an interferometer. First we note that instantaneous action at a distance should not be possible. We show that for general probabilistic theories this heavily curtails the non-classical dynamics. We prove that there is a trade-off with the uncertainty principle that allows theories to evade this restriction. On one extreme, non-classical theories with maximal certainty have their non-classical dynamics absolutely restricted to only the identity operation. On the other extreme, quantum theory minimizes certainty in return for maximal non-classical dynamics.

Suggested Citation

  • Oscar C. O. Dahlsten & Andrew J. P. Garner & Vlatko Vedral, 2014. "The uncertainty principle enables non-classical dynamics in an interferometer," Nature Communications, Nature, vol. 5(1), pages 1-7, December.
    • Handle: RePEc:nat:natcom:v:5:y:2014:i:1:d:10.1038_ncomms5592
    DOI: 10.1038/ncomms5592
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