How to distinguish quantum covariances using uncertainty relations

Uncertainty Relations for Quantum Coherence

Coherence of a quantum state intrinsically depends on the choice of the reference basis. A natural question to ask is the following: if we use two or more incompatible reference bases, can there be some trade-off relation between the coherence measures in different reference bases? We show that the quantum coherence of a state as quantified by the relative entropy of coherence in two or more no...

Dynamic Normative Reasoning Under Uncertainty: How to Distinguish Between Obligations Under Uncertainty and Prima Facie Obligations

The deontic update semantics is a dynamic semantics for prescriptive obligations based on Veltman's update semantics, in which the dynamic evaluation of connicts of hierarchic obligations naturally leads to defeasibility. In this paper we use this dynamic semantics to study the diagnostic problem of defeasible deontic logic. For example, consider a defeasible obligationòught to be done' togethe...

Entropic Uncertainty Relations in Quantum Physics

Non quantum uncertainty relations of stochastic dynamics

First we describe briefly an information-action method for the study of stochastic dynamics of hamiltonian systems perturbed by thermal noise and chaotic instability. It is shown that, for the ensemble of possible paths between two configuration points, the action principle acquires a statistical form 〈δA〉 = 0. The main objective of this paper is to prove that, via this information-action descr...

Entropic Uncertainty Relations in Quantum Physics

Uncertainty relations have become the trademark of quantum theory since they were formulated by Bohr and Heisenberg. This review covers various generalizations and extensions of the uncertainty relations in quantum theory that involve the Rényi and the Shannon entropies. The advantages of these entropic uncertainty relations are pointed out and their more direct connection to the observed pheno...