Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Certain integrable system on a space associated with a quantum search
  algorithm   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 (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.

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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org