Quantum Samaritan’s Dilemma Under Decoherence

We study how quantum noise affects the solution of quantum Samaritan’s dilemma. Serval most common dissipative and nondissipative noise channels are considered as the model of the decoherence process. We find that the solution of quantum Samaritan’s dilemma is stable under the influence of the amplitude damping, the bit flip and the bit-phase flip channel.

[1]  Piotr Frąckiewicz,et al.  On signaling games with quantum chance move , 2015 .

[2]  Ramón Alonso-Sanz.  A quantum prisoner's dilemma cellular automaton , 2014, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[3]  M. K. Khan,et al.  Relativistic quantum games in noninertial frames , 2011, 1102.1351.

[4]  Piotr Frackiewicz.  A new quantum scheme for normal-form games , 2015, Quantum Inf. Process..

[5]  Derek Abbott,et al.  Quantum Matching Pennies Game , 2008, 0807.3599.

[6]  M. K. Khan,et al.  Quantum Stackelberg duopoly in the presence of correlated noise , 2009, 0909.0063.

[7]  Haozhen Situ.  A quantum approach to play asymmetric coordination games , 2014, Quantum Inf. Process..

[8]  Ramón Alonso-Sanz,et al.  A cellular automaton implementation of a quantum battle of the sexes game with imperfect information , 2015, Quantum Inf. Process..

[9]  Zhiming Huang,et al.  Relativistic Quantum Bayesian Game Under Decoherence , 2016 .

[10]  P. Hayden,et al.  Comment on "quantum games and quantum strategies". , 2000, Physical Review Letters.

[11]  Derek Abbott,et al.  Social optimality in quantum Bayesian games , 2014, 1412.6715.

[12]  Piotr Frąckiewicz,et al.  N-person quantum Russian roulette , 2013, 1303.0155.

[13]  M. Khalid Khan,et al.  Noisy relativistic quantum games in noninertial frames , 2013, Quantum Inf. Process..

[14]  Dariusz Kurzyk,et al.  Decoherence effects in the quantum qubit flip game using Markovian approximation , 2013, Quantum Inf. Process..

[15]  Ramón Alonso-Sanz.  Variable entangling in a quantum prisoner’s dilemma cellular automaton , 2015, Quantum Inf. Process..

[16]  Derek Abbott,et al.  A probabilistic approach to quantum Bayesian games of incomplete information , 2012, Quantum Inf. Process..

[17]  Haozhen Situ.  Two-player conflicting interest Bayesian games and Bell nonlocality , 2016, Quantum Inf. Process..

[18]  Colin Benjamin,et al.  Do quantum strategies always win? , 2015, Quantum Inf. Process..

[19]  Fang Yu,et al.  Quantum advice enhances social optimality in three-party conflicting interest games , 2015, Quantum Inf. Comput..

[20]  E. Diamanti,et al.  Nonlocality and conflicting interest games. , 2014, Physical review letters.

[21]  Zhiming Huang,et al.  Quantum Games under Decoherence , 2016 .

[22]  Simon C. Benjamin,et al.  Multiplayer quantum games , 2001 .

[23]  Piotr Frackiewicz,et al.  Quantum Information Approach to the Ultimatum Game , 2011, ArXiv.

[24]  Ramón Alonso-Sanz,et al.  A quantum battle of the sexes cellular automaton , 2012, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[25]  Ramón Alonso-Sanz,et al.  On a three-parameter quantum battle of the sexes cellular automaton , 2013, Quantum Inf. Process..

[26]  Noah Linden,et al.  Connection between Bell nonlocality and Bayesian game theory , 2012, Nature Communications.

[27]  Jens Eisert,et al.  Quantum games , 2000 .

[28]  Haozhen Situ,et al.  Quantum Bayesian game with symmetric and asymmetric information , 2015, Quantum Inf. Process..

[29]  M. K. Khan,et al.  Decoherence Effects on Multiplayer Cooperative Quantum Games , 2011, 1701.05342.

[30]  M. K. Khan,et al.  Quantum Stackelberg Duopoly in a Noninertial Frame , 2011, 1102.1353.

[31]  Roger B. Myerson,et al.  Game theory - Analysis of Conflict , 1991 .

[32]  M. Ramzan,et al.  Three-player quantum Kolkata restaurant problem under decoherence , 2011, Quantum Inf. Process..

[33]  Derek Abbott,et al.  Quantum games with decoherence , 2004 .

[34]  Piotr Frackiewicz.  Remarks on quantum duopoly schemes , 2016, Quantum Inf. Process..

[35]  Piotr Frackiewicz.  Quantum signaling game , 2014, ArXiv.

[36]  Yang Yu,et al.  Playing quantum games by a scheme with pre- and post-selection , 2015, Quantum Information Processing.

[37]  J. Eisert,et al.  Quantum Games and Quantum Strategies , 1998, quant-ph/9806088.

[38]  Nobuyuki Imoto,et al.  Dynamics of a discoordination game with classical and quantum correlations , 2004 .

[39]  A. H. Toor,et al.  Quantum games with correlated noise , 2006, quant-ph/0603052.

[40]  I. Chuang,et al.  Quantum Computation and Quantum Information: Bibliography , 2010 .

[41]  MaoFa Fang,et al.  Improving the payoffs of cooperators in three-player cooperative game using weak measurements , 2015, Quantum Inf. Process..