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arXiv:1906.05836

Quantum Chess: Developing a Mathematical Framework and Design Methodology for Creating Quantum Games

Christopher Cantwell

Published Jun 13, 2019• 18 citations
arXivHTMLPDF

Abstract

Quantum phenomena have remained largely inaccessible to the general public. This can be attributed to the fact that we do not experience quantum mechanics on a tangible level in our daily lives. Games can provide an environment in which people can experience the strange behavior of the quantum world in a fun and mentally engaging way. Games could also offer an interesting test bed for near term quantum devices because they can be tailored to support varying amounts of quantum behavior through simple rule changes, which can be useful when dealing with limited resources. This paper explores the design of a variant of Chess which is built on top of unitary dynamics and includes non-trivial quantum effects such as superposition, entanglement, and interference. A movement ruleset is introduced which allows players to create superposition, entanglement, and interference effects. A measurement rule is also introduced which helps limit the size of the superposition, so the game remains tractable for a classical computer, and also helps make the game more comprehensible for a player.

DOI
10.48550/arxiv.1906.05836

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Quantum phenomena have remained largely inaccessible to the general public. This can be attributed to the fact that we do not experience quantum mechanics on a tangible level in our daily lives. Games can provide an environment in which people can experience the strange behavior of the quantum world in a fun and mentally engaging way. Games could also offer an interesting test bed for near term quantum devices because they can be tailored to support varying amounts of quantum behavior through simple rule changes, which can be useful when dealing with limited resources. This paper explores the design of a variant of Chess which is built on top of unitary dynamics and includes non-trivial quantum effects such as superposition, entanglement, and interference. A movement ruleset is introduced which allows players to create superposition, entanglement, and interference effects. A measurement rule is also introduced which helps limit the size of the superposition, so the game remains tractable for a classical computer, and also helps make the game more comprehensible for a player.
With the development of quantum computing and quantum information science, quantum games are emerging as a novel educational tool that helps students intuitively understand complex quantum concepts. This paper explores the application of quantum games in quantum education, with a focus on analyzing the rules, teaching design, and their impact on students' cognitive development in “Quantum Chess”. Quantum Chess integrates core concepts such as quantum superposition, entanglement, and measurement, allowing students to experience the unique phenomena of quantum physics during the game. In the future, further optimization of the integration of quantum games and education will be necessary to meet diverse learning needs and promote the broader application of quantum computing technology in the field of education.
In this paper, a quantum variant of chess is introduced, which can be played on a traditional board, without using computers or other electronic devices. The rules of the game arise naturally by combining the rules of conventional chess with key quantum-physical effects such as superposition and entanglement. Niel's Chess is recommended for ages 10 and above, to everyone who wishes to play a creative game with historical roots and at the same time gain intuition about the foundational quantum effects that power cutting-edge technologies like quantum computing and quantum communication, which are poised to revolutionize our society in the coming decades. Takeaways from a pilot educational session that was carried out with 10-to-12-year-old children are also presented.
This paper develops and analyses a novel quantum combinatorial game: quantum checkers (named Cheqqers). The concepts of superposition, entanglement, measurements and interference from quantum mechanics are integrated into the game of checkers by adding new types of legal moves. The addition of these new rules is done gradually by introducing several levels of 'quantumness'. Quantum checkers provides a framework for interpolating between a known and solved classical game and a more complex quantum game, and serves as 1) a benchmark for AI players learning to play quantum games and 2) an interesting game for human players that allows them to build intuition for quantum phenomena. We provide the initial analysis on the complexity of this game using random agents and a Monte Carlo tree search agent.
In this paper, a quantum variant of chess is introduced, which can be played on a traditional board without the need of using computers or other electronic devices. The rules of the game arise naturally by combining the rules of conventional chess with key quantum-physical effects such as superposition and entanglement. Niel's Chess is recommended for ages 10 and above, to everyone who wishes to play a creative game with historical roots and at the same time gain intuition about the foundational quantum effects that power cutting-edge technologies like quantum computing and quantum communication, which are poised to revolutionise our society in the coming decades.
The strategic Go game, known for the tedious mathematical complexities, has been used as a theme in many fiction, movies, and books. Here, we introduce the Go game and provide a new version of quantum Go in which the boxes are initially in a superposition of quantum states |0> and |1> and the players have two kinds of moves (classical and quantum) to mark each box. The mark on each box depends on the state to which the qubit collapses after the measurement. All other rules remain the same, except for here, we capture only one stone and not chains. Due to the enormous power and exponential speed-up of quantum computers as compared to classical computers, we may think of quantum computing as the future. So, here we provide a tangible introduction to superposition, collapse, and entanglement via our version of quantum Go. Finally, we compare the classical complexity with the quantum complexity involved in playing the Go game.
Education is vital to perpetuating knowledge, assisting in the discovery of innovations that will result in new technologies. As these technologies become more prevalent, so has, and will, the presence of games with the purpose of teaching important concepts, such as STEM, or even technologically, focused ones. In this paper,Q′Q^{\prime}Q′Game, a game developed to teach quantum computing basics, encourages learning in a fun and engaging way. Through the introduction of qubits and superposition, as well as the basic essential quantum gates,Q′Q^{\prime}Q′Game covers the fundamentals of quantum computing. From this base knowledge, players can explore more complex concepts in the field. Furthermore, this paper describes howQ′Q^{\prime}Q′Game can be used as a unique learning tool and experience to create interest in the young generation towards quantum computing.