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

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dc.creatorUwano, Yoshio
dc.creatorHino, Hideitsu
dc.creatorIshiwatari, Yasue
dc.date2005-12-02
dc.date.accessioned2026-07-07T06:55:55Z
dc.date.available2026-07-07T06:55:55Z
dc.descriptionOn 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 (SR${}^2$CMQ). The SR${}^2$CMQ 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, SR${}^2$CMQ, of that system.
dc.description15 pages, to appear in Phiscs of Atomic Nuclei
dc.identifierhttps://arxiv.org/abs/nlin/0512004
dc.identifierhttp://arxiv.org/abs/nlin/0512004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106444
dc.subjectExactly Solvable and Integrable Systems
dc.subjectQuantum Physics
dc.titleCertain integrable system on a space associated with a quantum search algorithm
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