Related papers: Graph identification by quantum walks
A quantum walk places a traverser into a superposition of both graph location and traversal "spin." The walk is defined by an initial condition, an evolution determined by a unitary coin/shift-operator, and a measurement based on the…
Quantum walks have been employed widely to develop new tools for quantum information processing recently. A natural quantum walk dynamics of interacting particles can be used to implement efficiently the universal quantum computation. In…
We introduce quantum walks on Cayley graphs of non-Abelian groups. We focus on the easiest case of virtually Abelian groups, and introduce a technique to reduce the quantum walk to an equivalent one on an Abelian group with coin system…
This paper has been withdrawn by the author.
This paper has been withdrawn by the authors.
This paper has been withdrawn.
This paper has been withdrawn since we combine this paper with math.AC/0503685. All contents of the paper have been moved to math.AC/0503685.
This paper gives the quantum walks determined by graph zeta functions. The result enables us to obtain the characteristic polynomial of the transition matrix of the quantum walk, and it determines the behavior of the quantum walk. We treat…
This paper has been withdrawn by the authors.
This paper has been withdrawn due to upload of another version of it as a new preprint: gr-qc/0404097
This paper has been withdrawn by the author, due to a significant error in section 4.3.1.
This paper has been withdrawn because it has been by far superseded by the Author's post arXiv:1108.1306v6, which was published on 30/08/2011.
This paper has been withdrawn by the author.
Large scale complex systems, such as social networks, electrical power grid, database structure, consumption pattern or brain connectivity, are often modeled using network graphs. Valuable insight can be gained by measuring the similarity…
This paper has been withdrawn by the authors as requested by the journal.
This paper was withdrawn on 20.11.97.
The paper is withdrawn.
This paper has been withdrawn by arXiv administrators because of an inappropriate amount of overlap with hep-th/0505013.
This paper is withdrawn by the author. It is superseded by Makhlin's paper quant-ph/0002045.
This paper was withdrawn by the author.