We construct the transition operators in terms of the generators of the general Yangian and the reduced Yangian. By acting these operators on a two-qubit pure state, we find that the entanglement degrees of the states...We construct the transition operators in terms of the generators of the general Yangian and the reduced Yangian. By acting these operators on a two-qubit pure state, we find that the entanglement degrees of the states are all decreased from the certain values to zero for the reduced Yangian algebra, which makes the state disentangled. This result sheds new light on the physical meaning of Y （sl（2） ） in quantum information.展开更多
The behavior of the perturbation map is analyzed quantitatively by using the concept of contingent derivatives for set-valued maps under Benson proper efficiency. Let W(u) = Pmin[G(u),S],y∧∈W(u∧). It is shown that,...The behavior of the perturbation map is analyzed quantitatively by using the concept of contingent derivatives for set-valued maps under Benson proper efficiency. Let W(u) = Pmin[G(u),S],y∧∈W(u∧). It is shown that, under some conditions, DW(u∧,y∧) Pmin[DG(u∧,y∧),S] , and under some other conditions, DW(u∧,y∧) Pmin[DG(u∧,y∧),S].展开更多
基金Supported by National Natural Science Foundation of China under Grant Nos.10775092 and 10875026Shanghai Leading Academic Discipline Project (Project number S30105)Shanghai Research Foundation under Grant No.07d222020
文摘We construct the transition operators in terms of the generators of the general Yangian and the reduced Yangian. By acting these operators on a two-qubit pure state, we find that the entanglement degrees of the states are all decreased from the certain values to zero for the reduced Yangian algebra, which makes the state disentangled. This result sheds new light on the physical meaning of Y （sl（2） ） in quantum information.
基金Supported by the National Natural Science Foundation of China(69972036)
文摘The behavior of the perturbation map is analyzed quantitatively by using the concept of contingent derivatives for set-valued maps under Benson proper efficiency. Let W(u) = Pmin[G(u),S],y∧∈W(u∧). It is shown that, under some conditions, DW(u∧,y∧) Pmin[DG(u∧,y∧),S] , and under some other conditions, DW(u∧,y∧) Pmin[DG(u∧,y∧),S].
