419 citations · 2.6k across the 40 of their papers we have counts for
18 papers · 1 filter
Randomness in Quantum Mechanics: Philosophy, Physics and Technology
Manabendra Nath Bera, Antonio Acín, Marek Kuś +2
This progress report covers recent developments in the area of quantum randomness, which is an extraordinarily interdisciplinary area that belongs not only to physics, but also to…
Non-signalling theories and generalized probability
Tomasz I. Tylec, Marek Kuś, Jacek Krajczok
We provide mathematicaly rigorous justification of using term "probability" in connection to the so called non-signalling theories,known also as Popescu's and Rohrlich's box worlds…
Unitary quantum gates, perfect entanglers and unistochastic maps
Marcin Musz, Marek Kus, Karol Zyczkowski
Non-local properties of ensembles of quantum gates induced by the Haar measure on the unitary group are investigated. We analyze the entropy of entanglement of a unitary matrix U e…
Are Scattering Properties of Graphs Uniquely Connected to Their Shapes?
Oleh Hul, Michał Ławniczak, Szymon Bauch +3
The famous question of Mark Kac "Can one hear the shape of a drum?" addressing the unique connection between the shape of a planar region and the spectrum of the corresponding Lapl…
Barycentric measure of quantum entanglement
Wojciech Ganczarek, Marek Kuś, Karol Życzkowski
Majorana representation of quantum states by a constellation of n 'stars' (points on the sphere) can be used to describe any pure state of a simple system of dimension n+1 or a per…
Universal nonlinear entanglement witnesses
Marcin Kotowski, Michal Kotowski, Marek Kus
We give a universal recipe for constructing nonlinear entanglement witnesses able to detect non-classical correlations in arbitrary systems of distinguishable and/or identical part…
Separability, entanglement and full families of commuting normal matrices
Jan Samsonowicz, Marek Kus, Maciej Lewenstein
We reduce the question whether a given quantum mixed state is separable or entangled to the problem of existence of a certain full family of commuting normal matrices whose matrix…
Evaluable multipartite entanglement measures: are multipartite concurrences entanglement monotones?
Rafal Demkowicz-Dobrzanski, Andreas Buchleitner, Marek Kus +1
We discuss the monotonicity under local operations and classical communication (LOCC) of systematically constructed quantities aiming at quantification of entanglement properties o…
Measures and dynamics of entangled states
Florian Mintert, Andre R. R. Carvalho, Marek Kus +1
We develop an original approach for the quantitative characterisation of the entanglement properties of, possibly mixed, bi- and multipartite quantum states of arbitrary finite dim…
Concurrence of mixed multi-partite quantum states
Florian Mintert, Marek Kus, Andreas Buchleitner
We propose generalizations of concurrence for multi-partite quantum systems that can distinguish qualitatively distinct quantum correlations. All introduced quantities can be evalu…
Concurrence of mixed bipartite quantum states in arbitrary dimensions
Florian Mintert, Marek Kus, Andreas Buchleitner
We derive a lower bound for the concurrence of mixed bipartite quantum states, valid in arbitrary dimensions. As a corollary, a weaker, purely algebraic estimate is found, which de…
Global entangling properties of the coupled kicked tops
Rafal Demkowicz-Dobrzanski, Marek Kus
We study global entangling properties of the system of coupled kicked tops testing various hypotheses and predictions concerning entanglement in quantum chaotic systems. In order t…
Cloning of spin-coherent states
Rafal Demkowicz-Dobrzanski, Marek Kus, Krzysztof Wodkiewicz
We consider optimal cloning of the spin coherent states in Hilbert spaces of different dimensionality d. We give explicit form of optimal cloning transformation for spin coherent s…
Manifolds of interconvertible pure states
Magdalena M. Sinolecka, Karol Zyczkowski, Marek Kus
Local orbits of a pure state of an N x N bi-partite quantum system are analyzed. We compute their dimensions which depends on the degeneracy of the vector of coefficients arising b…
Separable approximation for mixed states of composite quantum systems
Thomas Wellens, Marek Kus
We describe a purely algebraic method for finding the best separable approximation to a mixed state of a composite 2x2 quantum system, consisting of a decomposition of the state in…
Quantum Correlations in Two-Fermion Systems
John Schliemann, J. Ignacio Cirac, Marek Kus +2
We characterize and classify quantum correlations in two-fermion systems having 2K single-particle states. For pure states we introduce the Slater decomposition and rank (in analog…
Geometry of entangled states
Marek Kus, Karol Zyczkowski
Geometric properties of the set of quantum entangled states are investigated. We propose an explicit method to compute the dimension of local orbits for any mixed state of the gene…
Wave packet dynamics with Bose-Einstein condensates
R. Dum, A. Sanpera, K. -A. Suominen +4
We study wave packet dynamics of a Bose condensate in a periodically shaken trap. Dichotomy, that is, dynamic splitting of the condensate, and dynamic stabilization are analyzed in…