We propose that observables in quantum theory are properly understood as representatives
of symmetry-invariant quantities relating one system to another, the latter to be called a …

arxiv:quant-ph/0105036v1 9 May 2001 Page 1 arxiv:quant-ph/0105036v1 9 May 2001 ARE
NUMBER AND PHASE COMPLEMENTARY OBSERVABLES? P. BUSCH, P. LAHTI, J.-P …

Positive operator measures (with values in the space of bounded operators on a Hilbert
space) and their generalizations, mainly positive sesquilinear form measures, are …

A normalized positive operator measure X⟼ E (X) has the norm-1-property if‖ E (X)‖= 1
whenever E (X)≠ O. This property reflects the fact that the measurement outcome …

Mathematica Slovaca Page 1 Mathematica Slovaca Pekka Lahti; Kari Ylinen Dilations of
positive operator measures and bimeasures related to quantum mechanics Mathematica …

A fuzzy observable is regarded as a smearing of a sharp observable, and the structure of
covariant fuzzy observables is studied. It is shown that the covariant coarse-grainings of …

Abstract We compare the Pegg-Barnett (PB) formalism with the covariant phase observable
approach to the problem of quantum phase and show that PB-formalism gives essentially …

arxiv:quant-ph/0212147v1 27 Dec 2002 Page 1 arxiv:quant-ph/0212147v1 27 Dec 2002
POSITIVE OPERATOR VALUED MEASURES COVARIANT WITH RESPECT TO AN ABELIAN …

This thesis concerns how symmetries im**e on quantum mechanical measurements, and
preclude certain self adjoint operators from representing observable quantities. After …

Covariant phase observables constitute a particular solution to the problem of quantum
phase see, eg, Ref. 1, and 2. In this article, we study general mathematical properties of …