92 citations · 501 across the 27 of their papers we have counts for
29 papers
Lifting statistical structures
Katarzyna Grabowska, Janusz Grabowski, Marek Kuś +1
We consider some natural (functorial) lifts of geometric objects associated with statistical manifolds (metric tensor, dual connections, skewness tensor, etc.) to higher tangent bu…
Transition from order to chaos in reduced quantum dynamics
Waldemar Kłobus, Paweł Kurzyński, Marek Kuś +3
We study a damped kicked top dynamics of a large number of qubits () and focus on an evolution of a reduced single-qubit subsystem. Each subsystem is subjecte…
Quantum chaos in the spin coherent state representation
Marek Kuś, Robert Przybycień
We use spin coherent states to compare classical and quantum evolution of a simple paradigmatic, discrete-time quantum dynamical system exhibiting chaotic behavior in the classical…
Calogero-Moser models with internal degrees of freedom revisited
Katarzyna Kowalczyk-Murynka, Marek Kuś
We discuss various examples of classical Calogero-Moser models with internal degrees of freedom. These models besides of having some attractive properties, like the complete integr…
Lie groupoids in information geometry
Katarzyna Grabowska, Janusz Grabowski, Marek Kuś +1
We demonstrate that the proper general setting for contrast (potential) functions in statistical and information geometry is the one provided by Lie groupoids and Lie algebroids. T…
Ignorance is a bliss: mathematical structure of many-box models
Tomasz I. Tylec, Marek Kuś
We show that the propositional system of a many-box model is always a set-representable effect algebra. In particular cases of 2-box and 1-box models it is an orthomodular poset an…
Remarks on the tensor product structure of no-signaling theories
Tomasz I. Tylec, Marek Kuś
In the quantum logic framework we show that the no-signaling box model is a particular type of tensor product of the logics of single boxes. Such notion of tensor product is too st…
Non-signalling boxes and Bohrification
Jan Gutt, Marek Kuś
The premise of this note is the following observation: the formalism of Bohrification is a natural place for the interpretation of general non-signalling theories. We demonstrate i…
Wei-Norman equations for classical groups via cominuscule induction
J. Gutt, S. Charzyński, M. Kuś
We show how to reduce the nonlinear Wei-Norman equations, expressing the solution of a linear system of non-autonomous equations on a Lie algebra, to a hierarchy of matrix Riccati…
Quantum-phase synchronization
Lukas J. Fiderer, Marek Kuś, Daniel Braun
We study mechanisms that allow one to synchronize the quantum phase of two qubits relative to a fixed basis. Starting from one qubit in a fixed reference state and the other in an…
Electron-hole coherent states for the Bogoliubov-de Gennes equation
Sven Gnutzmann, Marek Kuś, Jordan Langham-Lopez
We construct a new set of generalized coherent states, the electron-hole coherent states, for a (quasi-)spin particle on the infinite line. The definition is inspired by applicatio…
Classical simulation of fermionic linear optics augmented with noisy ancillas
Michał Oszmaniec, Jan Gutt, Marek Kuś
Fermionic linear optics is a model of quantum computation which is efficiently simulable on a classical probabilistic computer. We study the problem of a classical simulation of fe…
Wei-Norman equations for classical groups
Szymon Charzyński, Marek Kuś
We show that the non-linear autonomus Wei-Norman equations, expressing the solution of a linear system of non-autonomous equations on a Lie algebra, can be reduced to the hierarchy…
Fraction of isospectral states exhibiting quantum correlations
Michał Oszmaniec, Marek Kuś
For several types of correlations: mixed-state entanglement in systems of distinguishable particles, particle entanglement in systems of indistinguishable bosons and fermions and n…
Convex bodies of states and maps
Janusz Grabowski, Alberto Ibort, Marek Kuś +1
We give a general solution to the question when the convex hulls of orbits of quantum states on a finite-dimensional Hilbert space under unitary actions of a compact group have a n…
A universal framework for entanglement detection
Michał Oszmaniec, Marek Kuś
We construct nonlinear multiparty entanglement measures for distinguishable particles, bosons and fermions. In each case properties of an entanglement measures are related to the d…
Wei-Norman equations for a unitary evolution
Szymon Charzyński, Marek Kuś
The Wei-Norman technique allows to express the solution of a system of linear non-autonomous differential equations in terms of product of exponentials. In particular it enables to…
Critical sets of the total variance of state detect all SLOCC entanglement classes
Adam Sawicki, Michał Oszmaniec, Marek Kuś
We present a general algorithm for finding all classes of pure multiparticle states equivalent under Stochastic Local Operations and Classsical Communication (SLOCC). We parametriz…
Convexity of momentum map, Morse index, and quantum entanglement
Adam Sawicki, Michał Oszmaniec, Marek Kuś
We analyze form the topological perspective the space of all SLOCC (Stochastic Local Operations with Classical Communication) classes of pure states for composite quantum systems.…
When is a pure state of three qubits determined by its single-particle reduced density matrices?
Adam Sawicki, Michael Walter, Marek Kuś
Using techniques from symplectic geometry, we prove that a pure state of three qubits is up to local unitaries uniquely determined by its one-particle reduced density matrices exac…
Bipartite entanglement, spherical actions and geometry of local unitary orbits
Alan Huckleberry, Marek Kuś, Adam Sawicki
We use the geometry of the moment map to investigate properties of pure entangled states of composite quantum systems. The orbits of equally entangled states are mapped by the mome…
Four-qubit entangled symmetric states with positive partial transpositions
J. Tura, R. Augusiak, P. Hyllus +3
We solve the open question of the existence of four-qubit entangled symmetric states with positive partial transpositions (PPT states). We reach this goal with two different approa…
On detection of quasiclassical states
Michał Oszmaniec, Marek Kuś
We give a criterion of classicality for mixed states in terms of expectation values of a quantum observable. Using group representation theory we identify all cases when the criter…
Geometry of the local equivalence of states
Adam Sawicki, Marek Kuś
We present a description of locally equivalent states in terms of symplectic geometry. Using the moment map between local orbits in the space of states and coadjoint orbits of the…