General quantum two-player games, their gate operators, and Nash equilibria
| dc.contributor.author | Bolonek-Lasoń, Katarzyna | |
| dc.date.accessioned | 2015-05-04T07:23:09Z | |
| dc.date.available | 2015-05-04T07:23:09Z | |
| dc.date.issued | 2015-02-23 | |
| dc.identifier.issn | 2050-3911 | |
| dc.identifier.uri | http://hdl.handle.net/11089/8593 | |
| dc.description.abstract | Two-player N-strategy games quantized according to the Eisert–Lewenstein–Wilkens scheme [Phys. Rev. Lett. 83, 3077 (1999)] are considered. Group-theoretical methods are applied to the problem of finding a general form of gate operators (entanglers) under the assumption that the set of classical pure strategies is contained in the set of pure quantum ones. The role of the stability group of the initial state of the game is stressed. As an example, it is shown that maximally entangled games do not admit nontrivial pure Nash strategies. The general arguments are supported by explicit computations performed in the three-strategy case. | pl_PL |
| dc.description.sponsorship | NCN Grant no. DEC-2012/05/D/ST2/00754 | pl_PL |
| dc.language.iso | en | pl_PL |
| dc.publisher | Oxford Journals | pl_PL |
| dc.relation.ispartofseries | Progress of Theoretical and Experimental Physics;023A03 | |
| dc.rights | Uznanie autorstwa 3.0 Polska | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/3.0/pl/ | * |
| dc.title | General quantum two-player games, their gate operators, and Nash equilibria | pl_PL |
| dc.type | Article | pl_PL |
| dc.page.number | 1-24 | pl_PL |
| dc.contributor.authorAffiliation | University of Lodz, Department of Statistical Methods, Faculty of Economics and Sociology | pl_PL |
| dc.references | Eisert J., Wilkens M., Lewenstein M., Phys. Rev. Lett. 83, 3077 (1999). (doi:10.1103/PhysRevLett.83.3077) | pl_PL |
| dc.references | Eisert J., Wilkens M., J. Mod. Opt. 47, 2543 (2000). (doi:10.1080/09500340008232180) | pl_PL |
| dc.references | Benjamin S., Hayden P., Phys. Rev. Lett. 87, 069801 (2001). (doi:10.1103/PhysRevLett.87.069801) | pl_PL |
| dc.references | Meyer D., Phys. Rev. Lett. 82, 1052 (1999). (doi:10.1103/PhysRevLett.82.1052) | pl_PL |
| dc.references | Marinatto L., Weber T., Phys. Lett. A 272, 291 (2000). (doi:10.1016/S0375-9601(00)00441-2) | pl_PL |
| dc.references | Benjamin S., Phys. Lett. A 277, 180 (2000). (doi:10.1016/S0375-9601(00)00710-6) | pl_PL |
| dc.references | Marinatto L., Weber T., Phys. Lett. A 277, 183 (2000). (doi:10.1016/S0375-9601(00)00711-8) | pl_PL |
| dc.references | Iqbal A., Toor A., Phys. Lett. A 280, 249 (2001). (doi:10.1016/S0375-9601(01)00082-2) | pl_PL |
| dc.references | Du J., Li H., Xu X., Zhou X., Han R., Phys. Lett. A 289, 9 (2001). (doi:10.1016/S0375-9601(01)00575-8) | pl_PL |
| dc.references | Eisert J., Wilkens M., Lewenstein M., Phys. Rev. Lett. 87, 069802 (2001). (doi:10.1103/PhysRevLett.87.069802) | pl_PL |
| dc.references | Flitney A., Abbott D., Fluct. Noise Lett. 2, R175 (2000). (doi:10.1142/S0219477502000981) | pl_PL |
| dc.references | Iqbal A., Toor A., Phys. Rev. A 65, 052328 (2002). (doi:10.1103/PhysRevA.65.052328) | pl_PL |
| dc.references | Du J., Li H., Xu X., Shi M., Wu J., Zhou X., Han R., Phys. Rev. Lett. 88, 137902 (2002). (doi:10.1103/PhysRevLett.88.137902) | pl_PL |
| dc.references | van Enk S. J., Pike R., Phys. Rev A 66, 024306 (2002). (doi:10.1103/PhysRevA.66.024306) | pl_PL |
| dc.references | Du J., Xu X., Li H., Zhou X., Han R., Fluct. Noise Lett. 2, R189 (2002). (doi:10.1142/S0219477502000993) | pl_PL |
| dc.references | Guinea F., Martin-Delgado M. A., J. Phys. A: Math. Gen. 36, L197 (2003). (doi:10.1088/0305-4470/36/13/104) | pl_PL |
| dc.references | Flitney A., Abbott D., Proc. R. Soc. Lond. A 459, 2463 (2003). (doi:10.1098/rspa.2003.1136) | pl_PL |
| dc.references | Piotrowski E., Sladkowski J., Int. J. Theor. Phys. 42, 1089 (2003). (doi:10.1023/A:1025443111388) | pl_PL |
| dc.references | Du J., Li H., Xu X., Zhou X., Han R., J. Phys. A: Math. Gen. 36, 6551 (2003). (doi:10.1088/0305-4470/36/23/318) | pl_PL |
| dc.references | Zhou L., Kuang L., Phys. Lett. A 315, 426 (2003). (doi:10.1016/S0375-9601(03)01100-9) | pl_PL |
| dc.references | Chen L., Ang H., Kiang D., Kwek L., Lo C., Phys. Lett. A 316, 317 (2003). (doi:10.1016/S0375-9601(03)01175-7) | pl_PL |
| dc.references | Lee C. F., Johnson N. F., Phys. Rev. A 67, 022311 (2003). (doi:10.1103/PhysRevA.67.022311) | pl_PL |
| dc.references | Shimamura J., Ozdemir S., Morikoshi F., Imoto N., Int. J. Quantum Inf. 2, 79 (2004). (doi:10.1142/S0219749904000092) | pl_PL |
| dc.references | Shimamura J., Ozdemir S., Morikoshi F., Imoto N., Phys. Lett. A 328, 20 (2004). (doi:10.1016/j.physleta.2004.06.006) | pl_PL |
| dc.references | Ozdemir S., Shimamura J., Imoto N., Phys. Lett. A 325, 104 (2004). (doi:10.1016/j.physleta.2004.03.042) | pl_PL |
| dc.references | Ozdemir S., Shimamura J., Morikoshi F., Imoto N., Phys. Lett. A 333, 218 (2004). (doi:10.1016/j.physleta.2004.10.055) | pl_PL |
| dc.references | Ozdemir S., Shimamura J., Imoto N., New J. Phys. 9, 43 (2007). (doi:10.1088/1367-2630/9/2/043) | pl_PL |
| dc.references | Landsburg S., Notices Am. Math. Soc. 51, 394 (2004). | pl_PL |
| dc.references | Rosero A.] [Search inSPIRE]. | pl_PL |
| dc.references | Nawaz A., Toor A., J. Phys. A: Math. Gen. 37, 11457 (2004). (doi:10.1088/0305-4470/37/47/014) | pl_PL |
| dc.references | Nawaz A., Toor A., J. Phys. A: Math. Gen. 37, 4437 (2004). (doi:10.1088/0305-4470/37/15/011) | pl_PL |
| dc.references | Iqbal A.] [Search inSPIRE]. | pl_PL |
| dc.references | Flitney A., Abbott D., J. Phys. A: Math. Gen. 38, 449 (2005). (doi:10.1088/0305-4470/38/2/011) | pl_PL |
| dc.references | Ichikawa T., Tsutsui I., Ann. Phys. 322, 531 (2007). (doi:10.1016/j.aop.2006.05.001) | pl_PL |
| dc.references | Cheon T., Tsutsui I., Phys. Lett. A 348, 147 (2006). (doi:10.1016/j.physleta.2005.08.066) | pl_PL |
| dc.references | Patel N., Nature 445, 144 (2007). (doi:10.1038/445144a) | pl_PL |
| dc.references | Ichikawa T., Tsutsui I., Cheon T., J. Phys. A: Math. Theor. 41, 135303 (2008). (doi:10.1088/1751-8113/41/13/135303) | pl_PL |
| dc.references | Flitney A., Hollenberg L., Phys. Lett. A 363, 381 (2007). (doi:10.1016/j.physleta.2006.11.044) | pl_PL |
| dc.references | Nawaz A. [Search inSPIRE]. | pl_PL |
| dc.references | Landsburg S., Proc. Am. Math. Soc. 139, 4413 (2011). (doi:10.1090/S0002-9939-2011-10838-4) | pl_PL |
| dc.references | Landsburg S., Wiley Encyclopedia of Operations Research and Management Science (Wiley and Sons, New York, 2011). | pl_PL |
| dc.references | Schneider D., J. Phys. A: Math. Theor. 44, 095301 (2011). (doi:10.1088/1751-8113/44/9/095301) | pl_PL |
| dc.references | Schneider D., J. Phys. A: Math. Theor. 45, 085303 (2012). (doi:10.1088/1751-8113/45/8/085303) | pl_PL |
| dc.references | Avishai Y. [Search inSPIRE]. | pl_PL |
| dc.references | Bolonek-Lasoń K., Kosiński P., Prog. Theor. Exp. Phys. 2013, 073A02 (2013). (doi:10.1093/ptep/ptt050) | pl_PL |
| dc.references | Ramzan M., Quantum Inf. Process. 12, 577 (2013). (doi:10.1007/s11128-012-0405-8) | pl_PL |
| dc.references | Ramzan M., Khan M. K., Fluct. Noise Lett. 12, 1350025 (2013). (doi:10.1142/S0219477513500259) | pl_PL |
| dc.references | Nawaz A., Chin. Phys. Lett. 30, 050302 (2013). (doi:10.1088/0256-307X/30/5/050302) | pl_PL |
| dc.references | Frackiewicz P., Acta Phys. Pol. B 44, 29 (2013). (doi:10.5506/APhysPolB.44.29) | pl_PL |
| dc.references | Nawaz A. [Search inSPIRE]. | pl_PL |
| dc.references | Nawaz A., J. Phys. A: Math. Theor. 45, 195304 (2012). (doi:10.1088/1751-8113/45/19/195304) | pl_PL |
| dc.references | Avishai Y. [quant-ph]] [Search inSPIRE]. | pl_PL |
| dc.references | Brunner N., Linden N., Nat. Commun. 4, 2057 (2013). | pl_PL |
| dc.references | Bolonek-Lasoń K. [Search inSPIRE]. | pl_PL |
| dc.references | Bolonek-Lasoń K. [Search inSPIRE]. | pl_PL |
| dc.references | Bolonek-Lasoń K. [Search inSPIRE]. | pl_PL |
| dc.contributor.authorEmail | kbolonek1@wp.pl | pl_PL |
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