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5 papers · 1 filter
Quadratic Open Quantum Harmonic Oscillator
Ameur Dhahri, Franco Fagnola, Hyunjae Yoo
We study the quantum open system evolution described by a Gorini-Kossakowski-Sudarshan-Lindblad generator with creation and annihilation operators arising in Fock representations o…
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…
Limit theorems for open quantum random walks
Norio Konno, Hyun Jae Yoo
We consider the limit distributions of open quantum random walks on one-dimensional lattice space. We introduce a dual process to the original quantum walk process, which is quite…
Glauber and Kawasaki Dynamics for Determinantal Point Processes in Discrete Spaces
Myeongju Chae, Hyun Jae Yoo
We construct the equilibrium Glauber and Kawasaki dynamics on discrete spaces which leave invariant certain determinantal point processes. We will construct Fellerian Markov proces…