Uncertainty relations take a crucial and fundamental part in the frame of quantum theory,
and are bringing on many marvelous applications in the emerging field of quantum …

Uncertainty relations for Hermitian operators have been confirmed through many
experiments. However, previous experiments have only tested the special case of non …

The uncertainty relation usually is one of the most important features in quantum mechanics
and is the backbone of quantum theory, which distinguishes it from the rule in its classical …

We construct an uncertainty relation for arbitrary finite-dimensional PT-invariant non-
Hermitian quantum systems within a special inner product framework. This construction is …

The Heisenberg uncertainty principle describes a basic restriction on an observer's ability of
precisely predicting the measurement of a pair of noncommuting observables, and virtually …

Different fields of physics characterize differently how much two quantum operations
disagree: quantum information theory features uncertainty relations cast in terms of …

We report an experimental investigation of conditional majorization uncertainty relations
(CMURs) in the presence of quantum memory. We find that the CMUR bounds are always …

Leggett-Garg inequalities are tests of macroscopic realism that can be violated by quantum
mechanics. In this letter, we realise photonic Leggett-Garg tests on a three-level system and …

The uncertainty principle imposes constraints on an observer's ability to make precision
measurements for two incompatible observables; thus, uncertainty relations play a key role …

In this paper, we construct stronger lower bounds for the variance-based uncertainty
relations of two unitary operators, via the power-mean inequalities. It is proved that these …