The quantum multiparameter estimation is very different from the classical multiparameter
estimation due to Heisenberg's uncertainty principle in quantum mechanics. When the …

How well can multiple incompatible observables be implemented by a single measurement?
This is a fundamental problem in quantum mechanics with wide implications for the …

Information-theoretic definitions for noise and disturbance in quantum measurements were
given in [Phys. Rev. Lett. 112, 050401 (2014)] and a state-independent noise-disturbance …

In quantum mechanics, the variance-based Heisenberg-type uncertainty relations are a
series of mathematical inequalities posing the fundamental limits on the achievable …

The Heisenberg uncertainty principle, which underlies many quantum key features, is under
close scrutiny regarding its applicability to new scenarios. Using both the Bell-Kochen …

We derive a state-dependent error-disturbance trade-off based on a statistical distance in
the sequential measurements of a pair of noncommutative observables and experimentally …

The indeterminacy inherent in quantum measurements is an outstanding character of
quantum theory, which manifests itself typically in the uncertainty principle. In the last …

In this work, we employ the squared Hilbert-Schmidt norm of the Gram matrix for a quantum
channel as a reversibility quantifier of this channel, which is shown to be complementary to …

In multiparameter quantum metrology, the weighted-arithmetic-mean error of estimation is
often used as a scalar cost function to be minimized during design optimization. However …

The principle of superposition is one of the main building blocks of quantum physics and has
tremendous consequences both for our fundamental understanding of nature and for …