An algorithm to factorize quantum walks into shift and coin operations Article Swipe

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Christopher Cedzich , T. Geib , Reinhard F. Werner ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.1007/s11005-022-01578-3

We provide an algorithm that factorizes one-dimensional quantum walks on an arbitrary but fixed cell structure into a protocol of two basic operations: a fixed conditional shift that transports particles between cells and suitable coin operators that act locally in each cell. This allows to tailor quantum walk protocols to any experimental set-up by rephrasing it on the cell structure determined by the experimental limitations. We give the example of a walk defined on a qutrit chain compiled to run on a qubit chain.

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Theoretical Computer Science

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Quantum walk Qubit Factorization Set (abstract data type) Qutrit Quantum computer Computer science Quantum algorithm Algorithm Chain (unit) Quantum Theoretical computer science Mathematics Discrete mathematics Physics Quantum mechanics Programming language

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Type: article
Language: en
Landing Page: https://doi.org/10.1007/s11005-022-01578-3
PDF: https://link.springer.com/content/pdf/10.1007/s11005-022-01578-3.pdf
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Cited By: 3
References: 52
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DOI: https://doi.org/10.1007/s11005-022-01578-3

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Title: An algorithm to factorize quantum walks into shift and coin operations

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Language: en

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Publication year: 2022

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Publication date: 2022-08-29

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Authors: Christopher Cedzich, T. Geib, Reinhard F. Werner

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Landing page: https://doi.org/10.1007/s11005-022-01578-3

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Concepts: Quantum walk, Qubit, Factorization, Set (abstract data type), Qutrit, Quantum computer, Computer science, Quantum algorithm, Algorithm, Chain (unit), Quantum, Theoretical computer science, Mathematics, Discrete mathematics, Physics, Quantum mechanics, Programming language

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Cited by: 3

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abstract_inverted_index.fixed	14, 25
abstract_inverted_index.qubit	83
abstract_inverted_index.shift	27
abstract_inverted_index.walks	9
abstract_inverted_index.allows	44
abstract_inverted_index.chain.	84
abstract_inverted_index.qutrit	76
abstract_inverted_index.set-up	53
abstract_inverted_index.tailor	46
abstract_inverted_index.between	31
abstract_inverted_index.defined	73
abstract_inverted_index.example	69
abstract_inverted_index.locally	39
abstract_inverted_index.provide	2
abstract_inverted_index.quantum	8, 47
abstract_inverted_index.Abstract	0
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abstract_inverted_index.protocol	19
abstract_inverted_index.suitable	34
abstract_inverted_index.algorithm	4
abstract_inverted_index.arbitrary	12
abstract_inverted_index.operators	36
abstract_inverted_index.particles	30
abstract_inverted_index.protocols	49
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abstract_inverted_index.rephrasing	55
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abstract_inverted_index.operations:	23
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abstract_inverted_index.limitations.	65
abstract_inverted_index.one-dimensional	7
cited_by_percentile_year.max	96
cited_by_percentile_year.min	91
corresponding_author_ids	https://openalex.org/A5078157931
countries_distinct_count	1
institutions_distinct_count	3
corresponding_institution_ids	https://openalex.org/I44260953
citation_normalized_percentile.value	0.68282906
citation_normalized_percentile.is_in_top_1_percent	False
citation_normalized_percentile.is_in_top_10_percent	False