21 citations · 30 across the 8 of their papers we have counts for
4 papers · 1 filter
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…
The generator and quantum Markov semigroup for quantum walks
Chul Ki Ko, Hyun Jae Yoo
The quantum walks in the lattice spaces are represented as unitary evolutions. We find a generator for the evolution and apply it to further understand the walks. We first extend t…
Quantum dynamical semigroups generated by noncommutative unbounded elliptic operators
C. Bahn, C. K. Ko, Y. M. Park
We study quantum dynamical semigroups generated by noncommutative unbounded elliptic operators which can be written as Lindblad type unbounded generators. Under appropriate conditi…