Sequential measurements of conjugate observables
arXiv:1105.4976 · doi:10.1088/1751-8113/44/28/285304
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.
25 pages
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- Measurement uncertainty relations for position and momentum: Relative entropy formulation
- Local measurement uncertainties impose a limit on non-local quantum correlations
- Necessary and sufficient condition for joint measurability
- Saturation of repeated quantum measurements
- Electromagnetism in terms of quantum measurements
- Quantum state tomography via sequential uses of the same informationally incomplete measuring apparatus
- Postponing the choice: advantage of deferred measurements in quantum information processing