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Position Measurements Obeying Momentum Conservation

Paul Busch and Leon Loveridge
Phys. Rev. Lett. 106, 110406 – Published 18 March 2011
Physics logo See Synopsis: Position measurements and quantum reality

Abstract

We present a hitherto unknown fundamental limitation to a basic measurement: that of the position of a quantum object when the total momentum of the object and apparatus is conserved. This result extends the famous Wigner-Araki-Yanase theorem, and shows that accurate position measurements are only practically feasible if there is a large momentum uncertainty in the apparatus.

  • Received 5 May 2010

DOI:https://doi.org/10.1103/PhysRevLett.106.110406

© 2011 American Physical Society

Synopsis

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Position measurements and quantum reality

Published 24 March 2011

A newly found fundamental limitation puts bounds on the accuracy of measurements in quantum-mechanical systems.

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Authors & Affiliations

Paul Busch* and Leon Loveridge

  • Mathematical Physics Section, Department of Mathematics, University of York, York, United Kingdom

  • *paul.busch@york.ac.uk
  • ldl500@york.ac.uk

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Issue

Vol. 106, Iss. 11 — 18 March 2011

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