Coherence and complementarity based on modified generalized skew information

On generalized skew information and uncertainty relation

A generalized skew correlation and a generalized skew information are defined and then a kind of the generalization of uncertainty relation is established by the help of the trace inequality which was recently proven by J.I.Fujii. In addition, we prove the trace inequality which is an extension of the conjecture addressed in [1]. This manuscript is based on our recent paper [2]. Mathematics Sub...

Uncertainty Relation on Generalized Wigner-Yanase-Dyson Skew Information

We give a trace inequality related to the uncertainty relation of generalized Wigner-Yanase-Dyson skew information which is two parameter’s extension of our result in [12].

Entanglement criterion based on skew information

We know that I(̺,M) and uncertainty δ2(M)̺ coincides on pure state, i.e, when ̺ is a pure state, then the inequalities (2) and (6) in lemma 1, 2 both become equality. let us recall the “Local Uncertainty Relations” (LURs), introduced by Hofmann and Takeuchi [4]. Let Ai be observables on Alice’s space of a bipartite system. If they do not share a common eigenstate, there is a number CA > 0 such tha...

On Modified Hermitian and Skew - Hermitian Splitting

The complementarity relations of quantum coherence in quantum information processing

We establish two complementarity relations for the relative entropy of coherence in quantum information processing, i.e., quantum dense coding and teleportation. We first give an uncertainty-like expression relating local quantum coherence to the capacity of optimal dense coding for bipartite system. The relation can also be applied to the case of dense coding by using unital memoryless noisy q...