Optimal Covariant Measurement of Momentum on a Half Line

Yutaka Shikano, Akio Hosoya, Alexander I. Lvovsky · AIP conference proceedings · 2009

We investigate an optimal covariant measurement to measure a momentum of a particle. Given an instantaneous interaction and an infinite measurement time, we explicitly construct a measurement model to satisfy the optimal covariant positive operator valued measure by Holevo and physically consider this measurement model. Furthermore, we apply this model to measure a momentum of a particle on a half line.

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