92 citations · 501 across the 27 of their papers we have counts for
13 papers · 1 filter
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…
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…
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…
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…
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…
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.…
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…
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…
Geometry of quantum systems: density states and entanglement
Janusz Grabowski, Marek Kuś, Giuseppe Marmo
Various problems concerning the geometry of the space $u^*(\cH)$ of Hermitian operators on a Hilbert space $\cH$ are addressed. In particular, we study the canonical Poisson and Ri…