An Optimal Measurement Strategy to Beat the Quantum Uncertainty in Correlated System

Abstract

Uncertainty principle is an inherent nature of quantum system that undermines the precise measurement of incompatible observables and hence the applications of quantum theory. Entanglement, another unique feature of quantum physics, may help to reduce the quantum uncertainty. In this paper, a practical method is proposed to reduce the one party measurement uncertainty by determining the measurement on the other party of an entangled bipartite system. In light of this method, a family of conditional majorization uncertainty relations in the presence of quantum memory is constructed, which is applicable to arbitrary number of observables. The new family of uncertainty relations implies sophisticated structures of quantum uncertainty and non‐locality, that are usually studied by using scalar measures. Applications to reduce the local uncertainty and to witness quantum non‐locality are also presented.

Multipartite uncertainty relation with quantum memory

“…It means that our multipartite uncertainty relation will have significant applications in entanglement detection and precision measurements. In a forthcoming paper, one may motivate to extend the results to get an uncertainty relation for multipartite systems based on conditional majorization in comparison to recent study 17 .…”

“…In the literature, substantial efforts have been made to improve Berta et al’s bound 9 – 17 . To be explicit, Pati et al 9 improved Berta et al’s bound by a term added to the right-hand side of inequality ( 2 ).…”

“…Besides, Huang et al 16 presented a Holevo bound for QMA-EUR, where the difference between the entropic uncertainties and the new bound is always a fixed value. More recently, Li and Qiao 17 proposed a method to decrease the local uncertainty. In this remarkable study a new kind of uncertainty relation based on conditional majorization 18 – 20 has been formulated, which can be calculated for any number of observables.…”

Optimal control for Hamiltonian parameter estimation in non-commuting and bipartite quantum dynamics

“…In order to reach the ultimate precision limit set by the physical system, much efforts have been made in the development of standard metrological approaches involving the preparation of optimal probe states [4,[19][20][21][22][23] and the execution of optimal measurements [24][25][26][27][28][29]. It is known that under unitary dynamics, when the whole Hamiltonian takes a multiplicative form of the parameter, H (𝑥) = 𝑥H (as in the case of "phase estimation"), the optimal probe state is of the form (| 𝜆 𝑚𝑎𝑥 + | 𝜆 𝑚𝑖𝑛 )/ √ 2, where | 𝜆 𝑚𝑎𝑥 and | 𝜆 𝑚𝑖𝑛 are eigenvectors of H corresponding to its maximum and minimum eigenvalues [4].…”

The Minimum AC Signal Model of Bipolar Transistor in Amplification Region for Weak Signal Detection

“…With the development of microelectronics, Li et al [20] find that graphene material has a high carrier mobility, which has a significant advantage in improving semiconductor sensing ability. For the theoretical calculation model of transistor, Ebors and Moll propose a semiconductor equivalent circuit model (EM1) for nonlinear DC analysis [21]. On the basis of the first generation model, considering the effect of nonlinear charge storage and series resistance, the second generation small signal model (EM2) is proposed, which has higher simulation accuracy and faster calculation speed [22].…”