Strong convergence of quantum random walks via semigroup decomposition
DOI10.1007/s00023-018-0676-4zbMath1392.81166arXiv1712.02848OpenAlexW3103159432WikidataQ129928374 ScholiaQ129928374MaRDI QIDQ1649984
Michał Gnacik, Alexander C. R. Belton, J. Martin Lindsay
Publication date: 29 June 2018
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.02848
Sums of independent random variables; random walks (60G50) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Quantum stochastic calculus (81S25) General theory of random and stochastic dynamical systems (37H05)
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Cites Work
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- Quantum random walk approximation on locally compact quantum groups
- Open quantum random walks
- Quantum random walks and thermalisation
- On the relationship between continuous- and discrete-time quantum walk
- From repeated to continuous quantum interactions
- Non-commutative Markov chains and multi-analytic operators
- Asymptotics of repeated interaction quantum systems
- Weak coupling and continuous limits for repeated quantum interactions
- The weak coupling limit as a quantum functional central limit
- Approximation of quantum Lévy processes by quantum random walks
- Quantum random walks and their convergence to Evans--Hudson flows
- A quantum stochastic Lie-Trotter product formula
- Thermal relaxation of a QED cavity
- Structure of Markov cocycles on Fock space
- Markovian master equations
- Existence, positivity and contractivity for quantum stochastic flows with infinite dimensional noise
- The low density limit for an N-level system interacting with a free Bose or Fermi gas
- Markovian cocycles on operator algebras adapted to a Fock filtration
- Holevo-ordering and the continuous-time limit for open Floquet dynamics
- Quantum probability for probabilists.
- Quantum random walks with general particle states
- Entanglement of bipartite quantum systems driven by repeated interactions
- Continuous time open quantum random walks and non-Markovian Lindblad master equations
- Quantum random walk approximation in Banach algebra
- Statistical Structure of Quantum Theory
- Free Random Variables
- Algebraic probability spaces
- A new form and a ⋆-algebraic structure of quantum stochastic integrals in Fock space
- Random-walk approximation to vacuum cocycles
- A Discrete Invitation to Quantum Filtering and Feedback Control
- Stochastic Schrödinger Equations as Limit of Discrete Filtering
- Exponential formulae in quantum stochastic calculus
- Quantum walks on graphs
- Quantum stochastic operator cocycles via associated semigroups
- Quantum Walks
- Discrete approximation of quantum stochastic models
- Quantum-mechanical perturbations giving rise to a statistical transport equation
- Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.
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