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OPTIMALITY CONDITIONS FOR EFFICIENCY OF CONSTRAINED VECTOR EQUILIBRIUM PROBLEMS
Tạp chí Khoa học Thăng Long - Tập 1 Số 4 - Trang 67-85 - 2023
Van Luu Do, Thi Mai Tran
Fritz John necessary conditions for local Henig and global efficient solutions of vector equilibrium problems involving equality, inequality and set constraints with nonsmooth functions are established via convexificators. Under suitable constraint qualications, Kuhn-Tucker necessary conditions for local Henig and gobally efficient solutions are derived. Note that Henig and global efficient soluti... hiện toàn bộ
#Local Henig efficient solution #local global solution #vector equilibrium problems #Fritz John and Kuhn-Tucker necessary conditions #convexificators
Coping with noise in joint remote preparation of a general two-qubit state by using nonmaximally entangled quantum channel
Communications in Physics - Tập 28 Số 1 - 2018
Hop Van Nguyen, Dat Thanh Le
Noise is unavoidable in practice and its presence makes quantum protocols imperfect. In this paper we consider a way to cope with typical types of noise in joint remote preparation of an arbitrary 2-qubit state. The idea is to use nonmaximally (in stead of maximally) entangled states as the initial quantum channel. Because noise changes the initial quantum channel we can beforehand tailor it to be... hiện toàn bộ
#joint remote state preparation #two-qubit state #noise
STATISTICAL QUANTUM NEURAL NETWORKS
Tạp chí Khoa học Thăng Long - Tập 1 Số 4 - Trang 57-65 - 2023
Ngoc Diep Do
We explain a new idea of how to use the high probability interval thresholds for neurons in quantum neural networks. Some basic quantum neural networks were analyzed and constructed in a recent work of the author. In particular the Least Square Error Problem (LSEP) and the Linear Regression Problem (LRP) was discussed. In this paper we an- alyze a new look on the threshold rules for neurons, takin... hiện toàn bộ
#Qubit #quantum gate #quantum network #statistical tests
INFORMATION-LEAKAGE-FREE QUANTUM DIALOGUE VIA GREENBERGER-HORNE-ZEILINGER STATES
Tạp chí Khoa học Thăng Long - Tập 1 Số 4 - Trang 87-102 - 2023
Ba An Nguyen
Secure communication in general and secure dialogue in particular are highly demanded, especially in the current information exploding era. Here we are concerned with secure dialogue. Because any dialogue conducted merely by classical means is fully eavesdropped without traces left behind, quantum version of dialogue, the so-called quantum dialogue, offers a promising solution to the security prob... hiện toàn bộ
#Quantum dialogue #GHZ states #information leakage
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