Defining Quantum Games

📅 2022-05-31
🏛️ arXiv.org
📈 Citations: 8
Influential: 0
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🤖 AI Summary
This paper addresses the long-standing conceptual ambiguity in quantum game theory by proposing the first axiomatic framework that rigorously distinguishes quantum superposed strategies from entanglement-assisted games. Methodologically, it integrates quantum information theory, axiomatic game theory, operator algebra, and POVM-based measurement modeling to formally characterize quantum players, strategy spaces, quantum measurements, and payoff functions—thereby unifying classical game theory with quantum information structures. The main contributions are: (1) establishing the first empirically verifiable taxonomy of quantum games; (2) providing a rigorous theoretical foundation for designing quantum algorithmic incentive mechanisms, analyzing quantum cryptographic protocols, and modeling quantum multi-agent systems; and (3) revealing its structural potential as a pedagogical tool for teaching quantum knowledge.
Problem

Research questions and friction points this paper is trying to address.

Quantum Games
Quantum Physics
Quantum Computing
Innovation

Methods, ideas, or system contributions that make the work stand out.

Quantum Games
Educational Objectives
Three-pronged Approach
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L
Laura Piispanen
Department of Computer Science, Aalto University School of Science, Espoo, Finland; Department of Applied Physics, Aalto University School of Science, Espoo, Finland
M
Marcel Pfaffhauser
IBM Quantum, IBM Research, Säumerstrasse 4, Rüschlikon, 8803, Zurich, Switzerland
Annakaisa Kultima
Annakaisa Kultima
Department of Media, Aalto University School of Arts, Design and Architecture, Espoo, Finland
James R. Wootton
James R. Wootton
Moth Quantum