47 citations · 143 across the 18 of their papers we have counts for
23 papers
Continuity inequalities for sandwiched Rényi and Tsallis conditional entropies with application to the channel entropy continuity
Anna Vershynina
For the sandwiched Rényi entropy the conditional entropy can be defined two ways: . In the limiting case, ,…
Dynamical Coherence Measures
Anna Vershynina
We present three measures of the dynamical coherence of channels, which generalize several previous results. The measures are based on a generalized distance-like function between…
Coherence as entropy increment for Tsallis and Renyi entropies
Anna Vershynina
Relative entropy of coherence can be written as an entropy difference of the original state and the incoherent state closest to it when measured by relative entropy. The natural qu…
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.…
Measure of genuine coherence based of quasi-relative entropy
Anna Vershynina
We present a genuine coherence measure based on a quasi-relative entropy as a difference between quasi-entropies of the dephased and the original states. The measure satisfies non-…
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…
Entanglement rates for Renyi, Tsallis and other entropies
Anna Vershynina
We provide an upper bound on the maximal entropy rate at which the entropy of the expected density operator of a given ensemble of two states changes under nonlocal unitary evoluti…
Recovery and the Data Processing Inequality for quasi-entropies
Eric A. Carlen, Anna Vershynina
We prove number of quantitative stability bounds for the cases of equality in Petz's monotonicity theorem for quasi-relative entropies defined in terms of an operator monotone decr…
Recovery map stability for the Data Processing Inequality
Eric A. Carlen, Anna Vershynina
The Data Processing Inequality (DPI) says that the Umegaki relative entropy is non-increasing under the action of completely positive trace…
Geometric inequalities from phase space translations
Stefan Huber, Robert Koenig, Anna Vershynina
We establish a quantum version of the classical isoperimetric inequality relating the Fisher information and the entropy power of a quantum state. The key tool is a Fisher informat…
Entanglement rates for bipartite open systems
Anna Vershynina
We provide upper bound on the maximal rate at which irreversible quantum dynamics can generate entanglement in a bipartite system. The generator of irreversible dynamics consists o…
Universal adiabatic quantum computation via the space-time circuit-to-Hamiltonian construction
David Gosset, Barbara M. Terhal, Anna Vershynina
We show how to perform universal adiabatic quantum computation using a Hamiltonian which describes a set of particles with local interactions on a two-dimensional grid. A single pa…
Complete criterion for convex-Gaussian state detection
Anna Vershynina
We present a new criterion that determines whether a fermionic state is a convex combination of pure Gaussian states. This criterion is complete and characterizes the set of convex…
A Gaussian refinement of the Lieb-Robinson bound
Elliott H. Lieb, Anna Vershynina
This paper has been withdrawn by the authors because of an error in the proof. We can, however, prove a weaker spatial fall-off that is still superlinear, namely exp[-x log x].
Upper bounds on mixing rates
Elliott H. Lieb, Anna Vershynina
We prove upper bounds on the rate, called "mixing rate", at which the von Neumann entropy of the expected density operator of a given ensemble of states changes under non-local uni…
Existence of the thermodynamic limit and asymptotic behavior of some irreversible quantum dynamical systems
Anna Vershynina
We discuss the properties of two open quantum systems with a general class of irreversible quantum dynamics. First we study Lieb-Robinson bounds in a quantum lattice systems. The t…
Non-equilibrium states of a photon cavity pumped by an atomic beam
Bruno Nachtergaele, Anna Vershynina, Valentin A. Zagrebnov
We consider a beam of two-level randomly excited atoms that pass one-by-one through a one-mode cavity. We show that in the case of an ideal cavity, i.e. no leaking of photons from…
Lieb-Robinson Bounds and Existence of the Thermodynamic Limit for a Class of Irreversible Quantum Dynamics
Bruno Nachtergaele, Anna Vershynina, Valentin A. Zagrebnov
We prove Lieb-Robinson bounds and the existence of the thermodynamic limit for a general class of irreversible dynamics for quantum lattice systems with time-dependent generators t…
On the transport dimension of measures
Qinglan Xia, Anna Vershynina
In this article, we define the transport dimension of probability measures on using ramified optimal transportation theory. We show that the transport dimension of a…