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The Schmidt rank for the commuting operator framework
Lauritz van Luijk, René Schwonnek, Alexander Stottmeister +1
In quantum information theory, the Schmidt rank is a fundamental measure for the entanglement dimension of a pure bipartite state. Its natural definition uses the Schmidt decomposi…
Hybrid quantum-classical systems: Quasi-free Markovian dynamics
Alberto Barchielli, Reinhard Werner
In the case of a quantum-classical hybrid system with a finite number of degrees of freedom, the problem of characterizing the most general dynamical semigroup is solved, under the…
Covariant catalysis requires correlations and good quantum reference frames degrade little
Lauritz van Luijk, Reinhard F. Werner, Henrik Wilming
Catalysts are quantum systems that open up dynamical pathways between quantum states which are otherwise inaccessible under a given set of operational restrictions while, at the sa…
Irrational quantum walks
Gabriel Coutinho, Pedro Ferreira Baptista, Chris Godsil +2
The adjacency matrix of a graph G is the Hamiltonian for a continuous-time quantum walk on the vertices of G. Although the entries of the adjacency matrix are integers, its eigenva…
Quantum-Classical Hybrid Systems and their Quasifree Transformations
Lars Dammeier, Reinhard F. Werner
We study continuous variable systems, in which quantum and classical degrees of freedom are combined and treated on the same footing. Thus all systems, including the inputs or outp…
Quantum Correlations in the Minimal Scenario
Thinh P. Le, Chiara Meroni, Bernd Sturmfels +2
In the minimal scenario of quantum correlations, two parties can choose from two observables with two possible outcomes each. Probabilities are specified by four marginals and four…