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Position Measurements Obeying Momentum Conservation
Published 4 May 2010 in quant-ph | (1005.0569v3)
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 (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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