Certain integrable system on a space associated with a quantum search algorithm
可精确求解与可积系统
2007-05-23 v1 量子物理
摘要
On thinking of a Grover-type quantum search algorithm for an ordered tuple of multi-qubit states, a gradient system associated with the negative von-Neumann entropy is studied on the space of regular relative-configurations of multi-qubit states (SRCMQ). The SRCMQ emerges, through a geometric procedure, from the space of ordered tuples of multi-qubit 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, SRCMQ, of that system.
引用
@article{arxiv.nlin/0512004,
title = {Certain integrable system on a space associated with a quantum search algorithm},
author = {Yoshio Uwano and Hideitsu Hino and Yasue Ishiwatari},
journal= {arXiv preprint arXiv:nlin/0512004},
year = {2007}
}
备注
15 pages, to appear in Phiscs of Atomic Nuclei