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quant-ph2006★ 18 cited
Optimal computation with non-unitary quantum walks
Viv Kendon, Olivier Maloyer
Quantum versions of random walks on the line and the cycle show a quadratic improvement over classical random walks in their spreading rates and mixing times respectively. Non-unit…
quant-ph2006★ 119 cited
A random walk approach to quantum algorithms
Viv Kendon
The development of quantum algorithms based on quantum versions of random walks is placed in the context of the emerging field of quantum computing. Constructing a suitable quantum…