A proof for the informational completeness of the rotated quadrature observables

Abstract

We give a new mathematically rigorous proof for the fact that, when $S$ is a dense subset of $[0,2\pi )$, the rotated quadrature operators $Q_{\theta }$, $\theta \in S$, of a single mode electromagnetic field constitute an informationally complete set of observables.

11 pages

References in corpus (1)

• Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling

Cited by in corpus (6)

• Symmetric informationally complete positive operator valued measure and probability representation of quantum mechanics
• Complementary observables in quantum mechanics
• Informationally complete sets of Gaussian measurements
• Quantum tomography, phase space observables, and generalized Markov kernels
• Continuous variable tomographic measurements
• On the complementarity of the quadrature observables