Cloud Quantum Coin-Tossing Gambling

Jose C Moreno(1*),

(1) New American Quantum Education Society Operations
(*) Corresponding Author

Abstract


Quantum computers are an alternative way to create multipartite probabilities for a game as a function of participant’s inputs. In some situations, quantum gambling could be an improvement over the predictability of certain types of random number generators. However, NISQ computers require a protocol whose expected statistical gains (losses) can be confirmed empirically given the participants’ inputs. A zero-sum coin-tossing protocol with Nash equilibrium [1] is tested with a quantum computer where hypothetical players enter parameters, in their respective qubits, and are compensated 1 or R coin(s) after each outcome. In theory, independently of R, the protocol implies that there is no gain improvement for a player when the other maintains the equilibrium parameter; gain is zero or better for the player maintaining it. However, outcomes obtained with several setting combinations imply Nash equilibrium only when R is a small fraction. For R>>1 , given thousands of outcomes, there is Nash-like equilibrium such that a player may not improve gain significantly by changing the parameter if the other maintains it, that is, losses (gains) are considerably minimized with the parameter. The data suggests that gains (losses) would be expected statistical functions of the participants’ choices if two played in this manner

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References


Zhang P., Zhou XQ, Wang YL, et al. Quantum gambling based on Nash-equilibrium. npj Quantum inf. 3 (24) (2017).

Lu Zhou, Xin Sun, Chunhua Su, Zhe Liu, Kim-Kwang, Raymond Chou, Game theoretic security of quantum bit commitment, Information Science 479 (2019).

Daniel Centeno, German Sierra, General quantum chinos game, 6 (7).

Yuyang Han, Cheat-sensitive coin flipping and quantum gambling, Quantum information Processing 21(170) (2022).

Luyao Wang, Hai Cheng, Pseudo-Random number generator based on logistic chaotic system, Entropy 21(10), 960 (2019).

Fei Yu, Lixiang Li, Qiang Tang, Shuo Cai, Yun Song, Quan Xu, A survey on true random number generator base on chaos, discrete Dynamics in nature and society, (2019).

U. Ansari, A. K. Chaudhary and S. Verma, True Random Number Generator (TRNG) Using Sensors for low Cost IoT Applications, 2022 International Conference on Communication, Computing and Internet of Things (IC3IoT), Chennai, India, (2022) 1-6.

Christina Chamon, Shahriar Ferdous, and Laszlo B. Kish, Deterministic random number generator attack against the kirchhoff-law-Johnson-Noise secure key exchange protocol, Fluctuation and Noise Letters, 20(5) (2021) 2150046.

Yutaka Shikano, Unpredictable random number generator, AIP Conference Proceedings 2286 (2020) 040004.

Miguel Herrero-Collantes, Juan Carlos Garcia-Escartin, Quantum random number generators, Rev. Mod. Phys. 89 (2017) 015004.

Jaideep Patnak, Brian Hunt, Michelle Girvan, Zhixin Lu, Edward Ott, Model-free prediction of Large spatiotemporally chaotic system from Data: A reservoir computing approach. Phys. Rev. Lett. 120 (2018) 024102

John Preskill, Quantum Computing in the NISQ era and beyond, Quantum 2, 79 (2018)

McEwen, M., Faoro, L., Arya, K. et al. Resolving catastrophic error bursts from cosmic rays in large arrays of superconducting qubits. Nat Phys. 18 (2022) 107-111.

Lior Goldenberg, Lev Veidman, and Stephen Wiesner, Quantum gambling, Phys. Rev. Lett. 82 (1999) 3356.

Ireneuz Pokula, Quantum gambling using mesoscopic ring qubits Physica Status Solidi (b) Vol. 244(7) (2007) 2513-2515.

Davide Castelvecchi, IBM’s quantum cloud computer goes commercial, Nature 543 (7644) (2017).

Charles H. bennett, Gilles Brassard, Quantum cryptopgraphy: Public Key distribution and coin tossing, Theoretical computer Science Volume 560, Part 1, 4 (2014).

Blum, Manuel Coin flipping by telephone a protocol for solving impossible problems. ACM SIGACT News 15(1) 23-27.

Anna Pappa, Paul Jouguet, Thomas Lawson, Andre Chailloux, Matthieu Lagre, Patrick Trinkler, Lordanis Kernidis, Eleni Diamanti, Experimental plug and play quantum coin flipping, Nature Communications 5(3717) (2014).




DOI: https://doi.org/10.24071/ijasst.v5i2.6407

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