Position Measurements Obeying Momentum Conservation

Details Position Measurements Obeying Momentum Conservation Position Measurements Obeying Momentum Conservation

2010-05-04

arxiv.org/abs/1005.0569v3

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevLett.106.110406

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
(WAY) theorem, and shows that accurate position measurements are only
practically feasible if there is a large momentum uncertainty in the apparatus.

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