Itô formula for one-dimensional continuous-time quantum random walk
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Publication:1783101
DOI10.1016/j.physa.2014.06.086zbMath1395.82096OpenAlexW2063887324MaRDI QIDQ1783101
Publication date: 20 September 2018
Published in: Physica A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physa.2014.06.086
Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
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Quantum Markov semigroups for continuous-time open quantum random walk, On the properties of partially open quantum random walk on \(\mathbb{Z}^d\)
Cites Work
- Unnamed Item
- The generator and quantum Markov semigroup for quantum walks
- Quantum measures and the coevent interpretation
- Two-site quantum random walk
- Quantum Ito's formula and stochastic evolutions
- Investigation of continuous-time quantum walk via spectral distribution associated with adjacency matrix
- Itô's stochastic calculus: its surprising power for applications
- Itô's stochastic calculus and Heisenberg commutation relations
- From quantum cellular automata to quantum lattice gases
- One-dimensional continuous-time quantum walks
- An Itô formula for a family of stochastic integrals and related Wong-Zakai theorems
- Quantum random walks in one dimension
- Continuous-Time Classical and Quantum Random Walk on Direct Product of Cayley Graphs
- A path integral formula with applications to quantum random walks inZd
- One-dimensional quantum walks
- Continuous-time quantum random walks require discrete space
- CONTINUOUS-TIME QUANTUM WALKS ON TREES IN QUANTUM PROBABILITY THEORY
- A NOTE ON KONNO'S PAPER ON QUANTUM WALK
