Discrete-Time Quantum Walk with Memory on the Cayley Graph of the Dihedral Group
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DOI: 10.1007/s10773-019-04257-7
Abstract: By adding one-step memory to enrich the model of discrete-time quantum walk on the Caylay graph of the dihedral group, the model of quantum walk with memory on the Cayley graph of the dihedral group… read more here.
Keywords: quantum walk; dihedral group; memory; graph dihedral ... See more keywords
Discrete-time quantum walk on the Cayley graph of the dihedral group
Sign Up to like & getrecommendations! Published in 2018 at "Quantum Information Processing"
DOI: 10.1007/s11128-018-2101-9
Abstract: The finite dihedral group generated by one rotation and one flip is the simplest case of the non-Abelian group. Cayley graphs are diagrammatic counterparts of groups. In this paper, much attention is given to the… read more here.
Keywords: quantum walk; cayley graph; group; graph dihedral ... See more keywords
Group Codes Over Dihedral Group Algebras 𝔽q[D16] and 𝔽q[Z2 × D8]
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DOI: 10.1155/jom/7629466
Abstract: Let denote a finite field of characteristic p, where q = pk for some prime p and integer k. Let Dn represent a dihedral group of order n. In this paper, group codes in the… read more here.
Keywords: algebras d16; group; group codes; dihedral group ... See more keywords