6 citations · 11 across the 4 of their papers we have counts for
4 papers
Entanglement of Indistinguishable Particles and its Quantification
Florian Sokoli, Burkhard Kümmerer
We introduce geometric measures of entanglement for indistinguishable particles, which apply to mixed states, multipartite systems, and arbitrary dimensions. They are based on gene…
A Coherent Approach to Recurrence and Transience for Quantum Markov Operators
Andreas Gärtner, Burkhard Kümmerer
We present a coherent approach to recurrence and transience, starting from a version of the Riesz decomposition theorem for superharmonic elements. Our approach allows straightforw…
Purification of quantum trajectories
Hans Maassen, Burkhard Kümmerer
We prove that the quantum trajectory of repeated perfect measurement on a finite quantum system either asymptotically purifies, or hits upon a family of `dark' subspaces, where the…
Noncommutative continuous Bernoulli shifts
Jürgen Hellmich, Claus Köstler, Burkhard Kümmerer
We introduce a non-commutative extension of Tsirelson-Vershik's noises, called (non-commutative) continuous Bernoulli shifts. These shifts encode stochastic independence in terms o…