Recurrence and Transience of Continuous-Time Open Quantum Walks
DOI10.1007/978-3-030-28535-7_18zbMath1450.81042arXiv1803.03436OpenAlexW2794156420MaRDI QIDQ5126536
Hugo Bringuier, Ivan Bardet, Yan Pautrat, Clément Pellegrini
Publication date: 20 October 2020
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.03436
Numerical analysis or methods applied to Markov chains (65C40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random walks on graphs (05C81) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.) (60K50)
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Cites Work
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- Open quantum random walks
- Open quantum random walks: ergodicity, hitting times, gambler's ruin and potential theory
- Poisson and diffusion approximation of stochastic master equations with control
- Homogeneous open quantum random walks on a lattice
- Fluctuations of quantum currents and unravelings of master equations
- On the generators of quantum dynamical semigroups
- Transience and recurrence of quantum Markov semigroups
- Efficiency of open quantum walk implementation of dissipative quantum computing algorithms
- Open quantum walks on graphs
- Entropic fluctuations of quantum dynamical semigroups
- Continuous time open quantum random walks and non-Markovian Lindblad master equations
- Passage times, exit times and Dirichlet problems for open quantum walks
- Site recurrence of open and unitary quantum walks on the line
- Central limit theorems for open quantum random walks and quantum measurement records
- Existence, uniqueness and approximation of a stochastic Schrödinger equation: The diffusive case
- A note on unitary operators in \(C^ *\)-algebras
- Quantum stochastic processes. II
- The open quantum Brownian motions
- Spectral Properties of Positive Maps on C* -Algebras
- One-Parameter Semigroups for Linear Evolution Equations
- Markov Chains
- Stochastic Schrödinger equations
- Subharmonic projections for a quantum Markov semigroup
- Notes on the Qualitative Behaviour of Quantum Markov Semigroups
- Quantum optical implementation of open quantum walks
- Open quantum random walks: reducibility, period, ergodic properties
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