7 papers
Convexity of a certain operator trace functional
Eric Evert, Scott McCullough, Tea Štrekelj +1
In this article the operator trace function is introduced and its convexity and concavity properties are investigated.…
Closest separable state when measured by a quasi-relative entropy
Anna Vershynina
It is well known that for pure states the relative entropy of entanglement is equal to the reduced entropy, and the closest separable state is explicitly known as well. The same ho…
Saturating the Data Processing Inequality for Renyi Relative Entropy
Sarah Chehade
It has been shown that the R{é}nyi relative entropy satisfies the Data Processing Inequality (DPI) for a certain range of 's and 's. Moreover, the range is completely c…
Quantum coherence, discord and correlation measures based on Tsallis relative entropy
Anna Vershynina
Several ways have been proposed in the literature to define a coherence measure based on Tsallis relative entropy. One of them is defined as a distance between a state and a set of…
Upper continuity bound on the quantum quasi-relative entropy
Anna Vershynina
We provide an upper bound on the quasi-relative entropy in terms of the trace distance. The bound is derived for two cases: 1) any operator monotone decreasing function and full ra…
On quantum quasi-relative entropy
Anna Vershynina
We consider a quantum quasi-relative entropy for an operator and an operator convex function . We show how to obtain the error bounds for the monotonicity and joint…