45 citations · 222 across the 19 of their papers we have counts for
21 papers
All classes of informationally complete symmetric measurements in finite dimensions
Katarzyna Siudzińska
A broad class of informationally complete symmetric measurements is introduced. It can be understood as a common generalization of symmetric, informationally complete POVMs and mut…
Entanglement witnesses from mutually unbiased measurements
Katarzyna Siudzińska, Dariusz Chruściński
A new family of positive, trace-preserving maps is introduced. It is defined using the mutually unbiased measurements, which generalize the notion of mutual unbiasedness of orthono…
Engineering classical capacity of generalized Pauli channels with admissible memory kernels
Katarzyna Siudzińska, Arpan Das, Anindita Bera
We analyze the classical capacity of the generalized Pauli channels generated via the memory kernel master equations. For suitable engineering of the kernel parameters, the evoluti…
Interpolating between positive and completely positive maps: a new hierarchy of entangled states
Katarzyna Siudzińska, Sagnik Chakraborty, Dariusz Chruściński
A new class of positive maps is introduced. It interpolates between positive and completely positive maps. It is shown that this class gives rise to a new characterization of entan…
Non-Markovianity criteria for mixtures of noninvertible Pauli dynamical maps
Katarzyna Siudzińska
We analyze the connections between the non-Markovianity degree of the most general phase-damping qubit maps and their legitimate mixtures. Using the results for image non-increasin…
Markovian semigroup from mixing non-invertible dynamical maps
Katarzyna Siudzińska
We analyze the convex combinations of non-invertible generalized Pauli dynamical maps. By manipulating the mixing parameters, one can produce a channel with shifted singularities,…
Geometry of symmetric and non-invertible Pauli channels
Katarzyna Siudzińska
We analyze the geometry of positive and completely positive, trace preserving Pauli maps that are fully determined by up to two distinct parameters. This includes five classes of s…
Quantum evolution with a large number of negative decoherence rates
Katarzyna Siudzińska, Dariusz Chruściński
Non-Markovian effects in quantum evolution appear when the system is strongly coupled to the environment and interacts with it for long periods of time. To include memory effects i…
Generalization of Pauli channels through mutually unbiased measurements
Katarzyna Siudzińska
We introduce a new generalization of the Pauli channels using the mutually unbiased measurement operators. The resulting channels are bistochastic but their eigenvectors are not un…
Geometry of generalized Pauli channels
Katarzyna Siudzińska
We analyze the geometry of the generalized Pauli channels constructed from the mutually unbiased bases. The Choi-Jamiołkowski isomorphism allows us to express the Hilbert-Schmidt l…
Geometry of the Pauli maps and Pauli channels
Katarzyna Siudzińska
We analyze the geometrical properties of trace-preserving Pauli maps. Using the Choi-Jamio\lkowski isomorphism, we express the Hilbert-Schmidt line and volume elements in terms of…
Geometry on the manifold of Gaussian quantum channels
Katarzyna Siudzińska, Kimmo Luoma, Walter T. Strunz
In the space of quantum channels, we establish the geometry that allows us to make statistical predictions about relative volumes of entanglement breaking channels among all the Ga…
Classical capacity of the generalized Pauli channels
Katarzyna Siudzińska
We calculate and analyze the bounds of the Holevo capacity and classical capacity for the generalized Pauli channels. In particular, we obtain the lower and upper bounds of the Hol…
Engineering fidelity of the generalized Pauli channels via legitimate memory kernels
Katarzyna Siudzińska, Dariusz Chruściński
We analyze the fidelity of the generalized Pauli channels governed by memory kernel master equations. It is shown that, by appropriate engineering of parameters of the correspondin…
Regularized maximal fidelity of the generalized Pauli channels
Katarzyna Siudzińska
We consider the asymptotic regularization of the maximal fidelity for the generalized Pauli channels, which is a problem similar to the classical channel capacity. In particular, w…
Quantum channels irreducibly covariant with respect to the finite group generated by the Weyl operators
Katarzyna Siudzińska, Dariusz Chruściński
We introduce a class of linear maps irreducibly covariant with respect to the finite group generated by the Weyl operators. This group provides a direct generalization of the quate…
Memory kernel approach to generalized Pauli channels: Markovian, semi-Markov, and beyond
Katarzyna Siudzińska, Dariusz Chruściński
In this paper, we analyze the evolution of the generalized Pauli channels governed by the memory kernel master equation. We provide necessary and sufficient conditions for the memo…
Two definitions of the Gell-Mann channels - a comparative analysis
Katarzyna Siudzińska
Our goal is to compare two unequivalent definitions of the Gell-Mann channels. It turns out that both definitions coincide for qubits and qutrits. In higher dimensions, there exist…
Generalized Pauli channels and a class of non-Markovian quantum evolution
Dariusz Chruściński, Katarzyna Siudzińska
We analyze the quantum evolution represented by a time-dependent family of generalized Pauli channels. This evolution is provided by the random decoherence channels with respect to…
Non-Markovianity of geometrical qudit decoherence
Katarzyna Siudzińska
In the following paper, we generalize the geometrical framework of qubit decoherence to higher dimensions. The quantum mixed state is represented by the probability distribution, w…
Decoherence of a qubit as a diffusion on the Bloch sphere
Katarzyna Siudzińska, Dariusz Chruściński
We analyze qubit decoherence in the framework of geometric quantum mechanics. In this framework the qubit density operators are represented by probability distributions which are a…