The generator and quantum Markov semigroup for quantum walks (Q363269)
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scientific article; zbMATH DE number 6203627
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The generator and quantum Markov semigroup for quantum walks |
scientific article; zbMATH DE number 6203627 |
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The generator and quantum Markov semigroup for quantum walks (English)
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2 September 2013
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The quantum walk \((QW)\) is a quantum analogue of the classical random walk. In the paper, the authors investigate the \((QW)\)s by their generators. The generator is found from an evolution map of a \((QW)\). The discrete time and the continuous time \((QW)\)s are studied. Moreover, the quantum Markov semigroup for \((QW)\)'s is discussed. The limit distributions of the \((QW)\)s in one dimension with a proper scaling are obtained.
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quantum walks
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Schrödinger approach
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generator
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continuous time quantum walks
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limit distribution
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superposition
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quantum Markov semigroup
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