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 …

Under the principle that quantum-mechanical observables are invariant under relevant
symmetry transformations, we explore how the usual, non-invariant quantities may capture …

Quantum reference frames are needed in quantum theory for much the same reasons as
reference frames are in classical relativity theories: to manifest invariance in line with …

Noise and disturbance in quantum measurement - ScienceDirect Skip to main contentSkip to
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We present a novel interpretation of the Wigner-Araki-Yanase (WAY) theorem based on a
relational view of quantum mechanics. Several models are analysed in detail, backed up by …

We introduce several notions of random positive operator valued measures (POVMs), and
we prove that some of them are equivalent. We then study statistical properties of the effect …

We consider questions related to quantizing complex valued functions defined on a locally
compact topological group. In the case of bounded functions, we generalize R. Werner's …

We present an operationally motivated treatment of quantum reference frames in the setting
that the frame is a covariant positive operator valued measure (POVM) on a finite …

arxiv:quant-ph/0504168v1 22 Apr 2005 Page 1 arxiv:quant-ph/0504168v1 22 Apr 2005 On
the coexistence of position and momentum observables Claudio Carmeli†, Teiko Heinonen‡ …

The quantum reference frames program is based on the idea that reference frames should
be treated as quantum physical systems. In this work, we combine these insights with the …