{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T16:24:19Z","timestamp":1759335859637},"reference-count":9,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Found. Comput. Sci."],"published-print":{"date-parts":[[2006,8]]},"abstract":"<jats:p> Quantum games offer situations where quantum information theory may help in solving or improving games with lack of information. For example, one may rely upon properties of entanglement for showing the superiority of a quantum player who is allowed to use quantum operations against a classical player (penny flipover [5]). Quantum communication properties enter into play in cooperative games (prisoners game, [3], guessing number [10]). An introduction to this field and an overview of important results are proposed in [7, 8]. But games may also help to make notions easier to understand, and new ways of reasoning to apprehend. The objective of this paper is to formalize and study a simple game with qubits using quantum notions of measurement and superposition, while keeping a simple formalism so that knowing quantum mechanics is not necessary to play the game. We generalize Conway's classical octal games to quantum octal games, and we solve the quantum combinatorial game QO.07 by giving a winning strategy for it. A playable version of the studied qubit game is available at the address . <\/jats:p>","DOI":"10.1142\/s0129054106004182","type":"journal-article","created":{"date-parts":[[2006,8,4]],"date-time":"2006-08-04T18:37:04Z","timestamp":1154716624000},"page":"919-931","source":"Crossref","is-referenced-by-count":1,"title":["QUANTUM OCTAL GAMES"],"prefix":"10.1142","volume":"17","author":[{"given":"SYLVAIN","family":"GRAVIER","sequence":"first","affiliation":[{"name":"CNRS, Laboratoire Leibniz, 46 avenue F\u00e9lix Viallet, 38031 Grenoble Cedex, France"}]},{"given":"PHILIPPE","family":"JORRAND","sequence":"additional","affiliation":[{"name":"CNRS, Laboratoire Leibniz, 46 avenue F\u00e9lix Viallet, 38031 Grenoble Cedex, France"}]},{"given":"MEHDI","family":"MHALLA","sequence":"additional","affiliation":[{"name":"CNRS, Laboratoire Leibniz, 46 avenue F\u00e9lix Viallet, 38031 Grenoble Cedex, France"},{"name":"University of Calgary Dept. of Computer Science 2500 University Drive N. W. Calgary, Alberta Canada T2N 1N4, Canada"}]},{"given":"CHARLES","family":"PAYAN","sequence":"additional","affiliation":[{"name":"CNRS, Laboratoire Leibniz, 46 avenue F\u00e9lix Viallet, 38031 Grenoble Cedex, France"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","volume-title":"Graphes et Hypergraphes","author":"Berge C.","year":"1971"},{"key":"rf2","volume-title":"Winning ways for your mathematical plays","author":"Berlekamp E.","year":"1982"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1080\/09500340008232180"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-3975(03)00285-8"},{"key":"rf5","volume-title":"The physic of Star Trek","author":"Krauss L. M.","year":"1995"},{"key":"rf6","volume-title":"Games of No Chance","author":"Nowakowski R. J.","year":"2002"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1023\/A:1025443111388"},{"key":"rf9","first-page":"438","volume":"41","author":"Sprague R.","journal-title":"T\u00f4hoku Math. J."},{"key":"rf10","first-page":"35","author":"Steane A. M.","journal-title":"Physics Today"}],"container-title":["International Journal of Foundations of Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0129054106004182","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T20:40:34Z","timestamp":1565124034000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0129054106004182"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,8]]},"references-count":9,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2006,8]]}},"alternative-id":["10.1142\/S0129054106004182"],"URL":"https:\/\/doi.org\/10.1142\/s0129054106004182","relation":{},"ISSN":["0129-0541","1793-6373"],"issn-type":[{"value":"0129-0541","type":"print"},{"value":"1793-6373","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,8]]}}}