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Quantum walks and their algorithmic applications
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Quantum walks are quantum counterparts of Markov chains. In this article, we give a brief overview of quantum walks, with emphasis on their algorithmic applications.
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Cited by 2 Pith papers
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Singular continuous Cantor spectrum for magnetic quantum walks
For irrational magnetic flux, the spectrum of the two-dimensional Hadamard magnetic quantum walk is a zero-measure Cantor set and the walk has no pure point spectrum, so the spectrum is purely singular continuous.
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Lazy Quantum Walks with Native Multiqubit Gates
Simulations of small lazy quantum walks on neutral atoms show a fidelity advantage for native multiqubit Rydberg gates over decomposed two-qubit sequences at certain gate-error regimes.
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