A general theorem as a necessary condition for the separability of quantum states in both
finite and infinite dimensional systems, based on concave-function uncertainty relations, is …

In this paper, we propose two uncertainty relations that reveal a previously unnoticed
complementarity in quantum uncertainty not captured by the conventional Robertson and …

Entropic uncertainty relations place nontrivial lower bounds to the sum of Shannon
information entropies for noncommuting observables. Here we obtain a lower bound on the …

The concept of quantum coherence, including various ways to quantify the degree of
coherence with respect to the prescribed basis, is currently the subject of active research …

Abstract Information entropies provide powerful and flexible way to express restrictions
imposed by the uncertainty principle. This approach seems to be very suitable in application …

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 …

A limitation on simultaneous measurement of two arbitrary positive-operator-valued
measures is discussed. In general, simultaneous measurement of two noncommutative …

In quantum theory, it is known for a pair of noncommutative observables that there is no state
on which they take simultaneously definite values and that there is no joint measurement of …

We revisit the connection between the complementarity and uncertainty principles of
quantum mechanics within the framework of Mach–Zehnder interferometry. We focus our …

The role of quantum coherence as an information resource has attracted increasing
attention in recent years. Many protocols of quantum information science deal with specially …