21 citations · 30 across the 8 of their papers we have counts for
10 papers
Dominance and equivalence for states on -algebras: Quasi-Invariant states
Ameur Dhahri, Francesco Fidaleo, Chul Ki Ko +1
We study the noncommutative generalization of measure-theoretic dominance and equivalence of states on -algebras to explore quasi-invariance under group actions. For a dominat…
Martingales associated with strongly quasi-invariant states
Ameur Dhahri, Chul Ki Ko, Hyun Jae Yoo
We discuss the martingales in relevance with -strongly quasi-invariant states on a -algebra , where is a separable locally compact group of -automorphism…
Group of automorphisms for strongly quasi invariant states
Ameur Dhahri, Chul Ki Ko, Hyun Jae Yoo
For a -automorphism group on a - or von Neumann algebra, we study the -quasi invariant states and their properties. The -quasi invariance or -strongly quasi in…
The Generalized Fibonacci Oscillator as an Open Quantum System
Franco Fagnola, Chul Ki Ko, Hyun Jae Yoo
We consider an open quantum system with Hamiltonian whose spectrum is given by a generalized Fibonacci sequence weakly coupled to a Boson reservoir in equilibrium at inverse…
Central limit theorems for open quantum random walks on the crystal lattices
Chul Ki Ko, Norio Konno, Etsuo Segawa +1
We consider the open quantum random walks on the crystal lattices and investigate the central limit theorems for the walks. On the integer lattices the open quantum random walks sa…
Quantum Markov chains associated with open quantum random walks
Ameur Dhahri, Chul Ki Ko, Hyun Jae Yoo
In this paper we construct (nonhomogeneous) quantum Markov chains associated with open quantum random walks. The quantum Markov chain, like the classical Markov chain, is a fundame…