Quantization and experimental realization of the Colonel Blotto game

  • A. C. Maioli
  • M. H. M. Passos
  • W. F. Balthazar
  • C. E. R. Souza
  • J. A. O. Huguenin
  • A. G. M. SchmidtEmail author


We present a quantum mechanical version of the Colonel Blotto game, where two players, Blotto and Enemy, collocate their soldiers (resources) sequentially in a finite number of territories. We analyse the representative classical cases of this game as well as the trivial case—which on its turn has no interest at all in the point of view of classical game theory—where, surprisingly, a player that could control a single parameter can win the game even if he/she is greatly outnumbered by his/her opponent. Besides the theoretical study we present an experimental realization of classical game by using linear optics circuits as well as a proposal of an experimental investigation of the quantized game. Finally, in order to check our quantization scheme we also present computer simulation results.


Quantum games Optical circuits Transverse modes Polarization modes 



The authors gratefully acknowledge the financial support of Brazilian’s agencies CAPES, FAPERJ, CNPq and INCT—Quantum Information. This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior—Brasil (CAPES)—Finance Code 001.


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Authors and Affiliations

  • A. C. Maioli
    • 1
    • 3
  • M. H. M. Passos
    • 1
    • 3
  • W. F. Balthazar
    • 2
  • C. E. R. Souza
    • 3
    • 4
  • J. A. O. Huguenin
    • 1
    • 3
  • A. G. M. Schmidt
    • 1
    • 3
    Email author
  1. 1.Instituto de Ciências ExatasUniversidade Federal FluminenseVolta Redonda - RJBrazil
  2. 2.Instituto Federal do Rio de JaneiroVolta Redonda - RJBrazil
  3. 3.Programa de Pós Graduação em Física Instituto de FísicaUniversidade Federal FluminenseNiterói - RJBrazil
  4. 4.Instituto de FísicaUniversidade Federal FluminenseNiterói - RJBrazil

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