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arXiv · 1105.4976

Sequential measurements of conjugate observables

Claudio Carmeli·Teiko Heinosaari·Alessandro Toigo
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Abstract

We present a unified treatment of sequential measurements of two conjugate observables. Our approach is to derive a mathematical structure theorem for all the relevant covariant instruments. As a consequence of this result, we show that every Weyl-Heisenberg covariant observable can be implemented as a sequential measurement of two conjugate observables. This method is applicable both in finite and infinite dimensional Hilbert spaces, therefore covering sequential spin component measurements as well as position-momentum sequential measurements.

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Claudio Carmeli, Teiko Heinosaari, Alessandro Toigo. 2011-05-25. Sequential measurements of conjugate observables. https://doi.org/10.1088/1751-8113/44/28/285304

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