Strong Isomorphism in Eisert-Wilkens-Lewenstein Type Quantum Games
The aim of this paper is to bring together the notions of quantum game and game isomorphism. The work is intended as an attempt to introduce a new criterion for quantum game schemes. The generally accepted requirement forces a quantum scheme to generate the classical game in a particular case. Now,...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/4180864 |
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| _version_ | 1832560844783747072 |
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| author | Piotr Frąckiewicz |
| author_facet | Piotr Frąckiewicz |
| author_sort | Piotr Frąckiewicz |
| collection | DOAJ |
| description | The aim of this paper is to bring together the notions of quantum game and game isomorphism. The work is intended as an attempt to introduce a new criterion for quantum game schemes. The generally accepted requirement forces a quantum scheme to generate the classical game in a particular case. Now, given a quantum game scheme and two isomorphic classical games, we additionally require the resulting quantum games to be isomorphic as well. We are concerned with the Eisert-Wilkens-Lewenstein quantum game scheme and the strong isomorphism between games in strategic form. |
| format | Article |
| id | doaj-art-f63205ff98824e2387eb1b97319a7f1a |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-f63205ff98824e2387eb1b97319a7f1a2025-02-03T01:26:40ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/41808644180864Strong Isomorphism in Eisert-Wilkens-Lewenstein Type Quantum GamesPiotr Frąckiewicz0Institute of Mathematics, Pomeranian University, 76-200 Słupsk, PolandThe aim of this paper is to bring together the notions of quantum game and game isomorphism. The work is intended as an attempt to introduce a new criterion for quantum game schemes. The generally accepted requirement forces a quantum scheme to generate the classical game in a particular case. Now, given a quantum game scheme and two isomorphic classical games, we additionally require the resulting quantum games to be isomorphic as well. We are concerned with the Eisert-Wilkens-Lewenstein quantum game scheme and the strong isomorphism between games in strategic form.http://dx.doi.org/10.1155/2016/4180864 |
| spellingShingle | Piotr Frąckiewicz Strong Isomorphism in Eisert-Wilkens-Lewenstein Type Quantum Games Advances in Mathematical Physics |
| title | Strong Isomorphism in Eisert-Wilkens-Lewenstein Type Quantum Games |
| title_full | Strong Isomorphism in Eisert-Wilkens-Lewenstein Type Quantum Games |
| title_fullStr | Strong Isomorphism in Eisert-Wilkens-Lewenstein Type Quantum Games |
| title_full_unstemmed | Strong Isomorphism in Eisert-Wilkens-Lewenstein Type Quantum Games |
| title_short | Strong Isomorphism in Eisert-Wilkens-Lewenstein Type Quantum Games |
| title_sort | strong isomorphism in eisert wilkens lewenstein type quantum games |
| url | http://dx.doi.org/10.1155/2016/4180864 |
| work_keys_str_mv | AT piotrfrackiewicz strongisomorphismineisertwilkenslewensteintypequantumgames |