Classical randomness in quantum measurements

  title={Classical randomness in quantum measurements},
  author={Giacomo Mauro D’Ariano and Paoloplacido Lo Presti and Paolo Perinotti},
  journal={Journal of Physics A},
Similarly to quantum states, also quantum measurements can be ‘mixed’, corresponding to a random choice within an ensemble of measuring apparatuses. Such mixing is equivalent to a sort of hidden variable, which produces a noise of purely classical nature. It is then natural to ask which apparatuses are indecomposable, i.e. do not correspond to any random choice of apparatuses. This problem is interesting not only for foundations, but also for applications, since most optimization strategies… 
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Foundations of quantum mechanics and ordered linear spaces : Advanced Study Institute, Marburg 1973
Orderings of vector spaces.- Duality of cones in locally convex spaces.- Order unit and base norm spaces.- Minimal decompositions in base normed spaces.- Simplex spaces.- Representation of Banach
Probabilistic and Statistical Aspects of Quantum Theory
Foreword to 2nd English edition.- Foreword to 2nd Russian edition.- Preface.- Chapters: I. Statistical Models.- II. Mathematics of Quantum Theory.- III. Symmetry Groups in Quantum Mechanics.- IV.