In the context of a physical theory, two devices, A and B, described by the theory are called
incompatible if the theory does not allow the existence of a third device C that would have …

The uncertainty principle formulated by Heisenberg in 1927 describes a trade-off between
the error of a measurement of one observable and the disturbance caused on another …

In the quantum regime, the third law of thermodynamics implies the unattainability of pure
states. As shown recently, such unattainability implies that a unitary interaction between the …

The notion that any physical quantity is defined and measured relative to a reference frame
is traditionally not explicitly reflected in the theoretical description of physical experiments …

We show that there are informationally complete joint measurements of two conjugated
observables on a finite quantum system, meaning that they enable the identification of all …

In standard formulations of the uncertainty principle, two fundamental features are typically
cast as impossibility statements: two noncommuting observables cannot in general both be …

In quantum theory, sets of operations that cannot be performed simultaneously exist. These
sets of operations are referred to as incompatible. While this definition of incompatibility …

We discuss a quantum counterpart, in the sense of the Berezin–Toeplitz quantization, of
certain constraints on Poisson brackets coming from “hard” symplectic geometry. It turns out …

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 …

To find the essential nature of quantum theory has been an important problem for not only
theoretical interest but also applications to quantum technologies. In those studies on …