Sequential measurements of conjugate observables

Details Sequential measurements of conjugate observables Sequential measurements of conjugate observables

2011-05-25

arxiv.org/abs/1105.4976v1

J. Phys. A: Math. Theor. 44 (2011) 285304

Physics

Quantum Physics

25 pages

Scientific paper

10.1088/1751-8113/44/28/285304

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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