Quantum walk in terms of quantum Bernoulli noises

DOI10.1007/s11128-016-1259-2zbMath1338.81261OpenAlexW2260606427MaRDI QIDQ296107

Xiaojuan Ye, Cai-shi Wang

Publication date: 14 June 2016

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11128-016-1259-2

zbMATH Keywords

limit theoremquantum walkinfinitely many degrees of freedomquantum Bernoulli noise

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Quantum computation (81P68) Quantum stochastic calculus (81S25)

Related Items (8)

The uniform measure for quantum walk on hypercube: A quantum Bernoulli noises approach ⋮ Quantum walk in terms of quantum Bernoulli noise and quantum central limit theorem for quantum Bernoulli noise ⋮ Coherence evolution in two-dimensional quantum walk on lattice ⋮ Random Schrödinger operator on infinite-dimensional hypercube. I: Ergodicity and density of states ⋮ Abstract model of continuous-time quantum walk based on Bernoulli functionals and perfect state transfer ⋮ Open quantum random walk in terms of quantum Bernoulli noise ⋮ Quantum Feller semigroup in terms of quantum Bernoulli noises ⋮ Linear stochastic Schrödinger equations in terms of quantum Bernoulli noises

Cites Work

• Characterization theorems for generalized functionals of discrete-time normal martingale
• Stochastic analysis of Bernoulli processes
• Quantum walks: a comprehensive review
• Limit measures of inhomogeneous discrete-time quantum walks in one dimension
• The stationary measure of a space-inhomogeneous three-state quantum walk on the line
• A new type of limit theorems for the one-dimensional quantum random walk
• Discrete-time quantum Bernoulli noises
• Quantum Walks

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