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Title: Certain integrable system on a space associated with a quantum search algorithm

Abstract

On thinking up a Grover-type quantum search algorithm for an ordered tuple of multiqubit states, a gradient system associated with the negative von Neumann entropy is studied on the space of regular relative configurations of multiqubit states (SR{sup 2}CMQ). The SR{sup 2}CMQ emerges, through a geometric procedure, from the space of ordered tuples of multiqubit states for the quantum search. The aim of this paper is to give a brief report on the integrability of the gradient dynamical system together with quantum information geometry of the underlying space, SR{sup 2}CMQ, of that system.

Authors:
 [1]; ;  [2]
  1. Future University-Hakodate, School of Systems Information Sciences (Japan), E-mail: uwano@fun.ac.jp
  2. Kyoto University, Department of Applied Mathematics and Physics (Japan)
Publication Date:
OSTI Identifier:
21075886
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Atomic Nuclei; Journal Volume: 70; Journal Issue: 4; Other Information: DOI: 10.1134/S1063778807040217; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; CONFIGURATION; ENTROPY; INTEGRAL CALCULUS; MATHEMATICAL SPACE; QUANTUM INFORMATION

Citation Formats

Uwano, Y., Hino, H., and Ishiwatari, Y.. Certain integrable system on a space associated with a quantum search algorithm. United States: N. p., 2007. Web. doi:10.1134/S1063778807040217.
Uwano, Y., Hino, H., & Ishiwatari, Y.. Certain integrable system on a space associated with a quantum search algorithm. United States. doi:10.1134/S1063778807040217.
Uwano, Y., Hino, H., and Ishiwatari, Y.. Sun . "Certain integrable system on a space associated with a quantum search algorithm". United States. doi:10.1134/S1063778807040217.
@article{osti_21075886,
title = {Certain integrable system on a space associated with a quantum search algorithm},
author = {Uwano, Y. and Hino, H. and Ishiwatari, Y.},
abstractNote = {On thinking up a Grover-type quantum search algorithm for an ordered tuple of multiqubit states, a gradient system associated with the negative von Neumann entropy is studied on the space of regular relative configurations of multiqubit states (SR{sup 2}CMQ). The SR{sup 2}CMQ emerges, through a geometric procedure, from the space of ordered tuples of multiqubit states for the quantum search. The aim of this paper is to give a brief report on the integrability of the gradient dynamical system together with quantum information geometry of the underlying space, SR{sup 2}CMQ, of that system.},
doi = {10.1134/S1063778807040217},
journal = {Physics of Atomic Nuclei},
number = 4,
volume = 70,
place = {United States},
year = {Sun Apr 15 00:00:00 EDT 2007},
month = {Sun Apr 15 00:00:00 EDT 2007}
}