Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Quantum Circuit to Construct All Maximal Cliques Using Grover Search
  Algorithm   A quantum circuit to construct all maximal cliques using Grover search
algorithm is presented. This oracle circuit takes as input an n-qubit state |x>
and the adjacency matrix data A of an n-node network, and outputs the state
(-1)^f(x) |x> where f(x)=1 if |x> is a maximal clique, and f(x)=0, otherwise.
The oracle workspace requires 2n^2 qubits. Each oracle call makes about 10n^2
calls to the Toffoli gates. The overall Grover search algorithm takes as input
a uniform superposition n-qubit state and the adjacency matrix data, and
outputs a uniform superposition of all maximal clique states.

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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: math
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph