ﻻ يوجد ملخص باللغة العربية
The uncertainty relation lies at the heart of quantum theory and behaves as a non-classical constraint on the indeterminacies of incompatible observables in a system. In the literature, many experiments have been devoted to the test of the uncertainty relations which mainly focus on the pure states. Here we present an experimental investigation on the optimal majorization uncertainty for mixed states by means of the coherent light. The polarization states with adjustable mixedness are prepared by the combination of two coherent beams, and we test the majorization uncertainty relation for three incompatible observables using the prepared mixed states. The experimental results show that the direct sum majorization uncertainty relations are tight and optimal for general mixed systems.
Uncertainty relation is one of the fundamental principle in quantum mechanics and plays an important role in quantum information science. We experimentally test the error-disturbance uncertainty relation (EDR) with continuous variables for Gaussian s
Incompatible observables can be approximated by compatible observables in joint measurement or measured sequentially, with constrained accuracy as implied by Heisenbergs original formulation of the uncertainty principle. Recently, Busch, Lahti, and W
Uncertainty relation is not only of fundamental importance to quantum mechanics, but also crucial to the quantum information technology. Recently, majorization formulation of uncertainty relations (MURs) have been widely studied, ranging from two mea
Heisenbergs original uncertainty relation is related to measurement effect, which is different from the preparation uncertainty relation. However, it has been shown that Heisenbergs error-disturbance uncertainty relation can be violated in some cases
We derive an entropic uncertainty relation for generalized positive-operator-valued measure (POVM) measurements via a direct-sum majorization relation using Schur concavity of entropic quantities in a finite-dimensional Hilbert space. Our approach pr