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The dihedral hidden subgroup problem
Journal of Mathematical CryptologyThe hidden subgroup problem (HSP) is a cornerstone problem in quantum computing, which captures many problems of interest and provides a standard framework algorithm for their study based on Fourier sampling, one class of techniques known to provide ...
Chen Imin, Sun David
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Forum of Mathematics, PiIn 1994, Shor introduced his famous quantum algorithm to factor integers and compute discrete logarithms in polynomial time. In 2023, Regev proposed a multidimensional version of Shor’s algorithm that requires far fewer quantum gates.
Cédric Pilatte
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Pöschl-Teller potentials based solution to Hilbert's tenth problem
Ingeniería y Ciencia, 2006 Los hipercomputadores computan funciones o números, o en general solucionan problemas que no pueden ser computados o solucionados por una máquina de Turing. Se presenta una adaptación del algoritmo cuántico hipercomputacional propuesto por Tien D.
Andrés Sicard, Juan Ospina
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A Theory of Quantum Subspace Diagonalization
SIAM Journal on Matrix Analysis and Applications, 2022Ethan N Epperly +2 more
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