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ERYGANOV, I. HRDINA, J. NÁVRAT, A.
Originální název
Quantization of two- and three-player cooperative games based on QRA
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
In this paper, a novel quantization scheme for cooperative games is proposed. The circuit is inspired by the Eisert-Wilkens-Lewenstein protocol, which was modified to represent cooperation between players and extended to 3-qubit states. The framework of Clifford algebra is used to perform necessary computations. In particular, we use a direct analogy between Dirac formalism and Quantum Register Algebra (QRA) to represent circuits. This analogy enables us to perform automated proofs of the circuit equivalence in a simple fashion. The expected value of the Shapley value concerning quantum probabilities is employed to distribute players' payoffs after the measurement. We study how entanglement, representing the level of pre-agreement between players, affects the final utility distribution. The paper also demonstrates how the QRA and GAALOP software can automate all necessary calculations.
Klíčová slova
quantum games; cooperative games; quantum computing; shapley value; quantum register algebra
Autoři
ERYGANOV, I.; HRDINA, J.; NÁVRAT, A.
Vydáno
1. 10. 2024
Nakladatel
IOP Publishing Ltd
Místo
BRISTOL
ISSN
1751-8121
Periodikum
Journal of Physics A: Mathematical and Theoretical
Ročník
57
Číslo
42
Stát
Spojené království Velké Británie a Severního Irska
Strany od
1
Strany do
24
Strany počet
URL
https://www.google.iopscience.iop.org/article/10.1088/1751-8121/ad7c9c
BibTex
@article{BUT189790, author="Ivan {Eryganov} and Jaroslav {Hrdina} and Aleš {Návrat}", title="Quantization of two- and three-player cooperative games based on QRA", journal="Journal of Physics A: Mathematical and Theoretical", year="2024", volume="57", number="42", pages="1--24", doi="10.1088/1751-8121/ad7c9c", issn="1751-8121", url="https://www.google.iopscience.iop.org/article/10.1088/1751-8121/ad7c9c" }