Quantum Algorithm for Continuous Global Optimization

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We investigate the entwined roles of information and quantum algorithms in reducing the complexity of the global optimization problem (GOP). We show that: (1) a modest amount of additional information is sufficient to map the general continuous GOP into the (discrete) Grover problem; (2) while this additional information is actually available in some classes of GOPs, it cannot be taken advantage of within classical optimization algorithms; (3) on the contrary, quantum algorithms over a natural framework for the efficient use of this information resulting in a speed-up of the solution of the GOP.

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Protopopescu, V October 31, 2001.

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Description

We investigate the entwined roles of information and quantum algorithms in reducing the complexity of the global optimization problem (GOP). We show that: (1) a modest amount of additional information is sufficient to map the general continuous GOP into the (discrete) Grover problem; (2) while this additional information is actually available in some classes of GOPs, it cannot be taken advantage of within classical optimization algorithms; (3) on the contrary, quantum algorithms over a natural framework for the efficient use of this information resulting in a speed-up of the solution of the GOP.

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  • 34th International Workshop on Optimization and Control with Applications, Erice, Sicily (IT), 07/09/2001--07/17/2001

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  • Report No.: P01-112123
  • Grant Number: AC05-00OR22725
  • Office of Scientific & Technical Information Report Number: 788546
  • Archival Resource Key: ark:/67531/metadc717538

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Office of Scientific & Technical Information Technical Reports

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  • October 31, 2001

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  • Sept. 29, 2015, 5:31 a.m.

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  • March 23, 2016, 12:34 p.m.

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Protopopescu, V. Quantum Algorithm for Continuous Global Optimization, article, October 31, 2001; Tennessee. (digital.library.unt.edu/ark:/67531/metadc717538/: accessed July 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.