Quantum search on simplicial complexes

Kaname Matsue, Osamu Ogurisu, Etsuo Segawa

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In this paper, we propose an extension of quantum searches on graphs driven by quantum walks to simplicial complexes. To this end, we define a new quantum walk on simplicial complex which is an alternative of preceding studies by authors. We show that the quantum search on the specific simplicial complex corresponding to the triangulation of n-dimensional unit square driven by this new simplicial quantum walk works well, namely, a marked simplex can be found with probability 1 + o(1) within a time O(N), where N is the number of simplices with the dimension of marked simplex.

Original languageEnglish
Pages (from-to)551-577
Number of pages27
JournalQuantum Studies: Mathematics and Foundations
Volume5
Issue number4
DOIs
Publication statusPublished - Dec 1 2018

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics

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