{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,23]],"date-time":"2024-10-23T05:38:03Z","timestamp":1729661883670,"version":"3.28.0"},"reference-count":27,"publisher":"IEEE","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010,9]]},"DOI":"10.1109\/synasc.2010.28","type":"proceedings-article","created":{"date-parts":[[2011,2,18]],"date-time":"2011-02-18T19:12:11Z","timestamp":1298056331000},"page":"355-361","source":"Crossref","is-referenced-by-count":0,"title":["Dilatability to Quantum Linear Cellular Automata"],"prefix":"10.1109","author":[{"given":"Adriana","family":"Popovici","sequence":"first","affiliation":[]},{"given":"Dan","family":"Popovici","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1142\/p434"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1142\/S0218001499000318"},{"journal-title":"Theory of Self-Reproducing Automata","year":"1966","author":"von neumann","key":"ref12"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1989-0972704-3"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-0717-0_15"},{"key":"ref15","first-page":"275","article-title":"Topological aspects of cellular automata","author":"popovici","year":"2003","journal-title":"Proceedings of the National Conference on &#x201C;Mathematical Analysis and Applications&#x201D;"},{"key":"ref16","first-page":"213","article-title":"Structure Theorems for Isometric Linear Cellular Automata","volume":"42","author":"popovici","year":"2004","journal-title":"Ann Univ Timi?oara"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/SYNASC.2005.5"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-0000(72)80009-6"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.2307\/2032368"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2004.06.008"},{"journal-title":"A New Kind of Science","year":"2002","author":"wolfram","key":"ref27"},{"key":"ref3","first-page":"3","article-title":"Von Neumann's self-reproducing automata","author":"burks","year":"1970"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/BF01886518"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0023479"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/11505877_5"},{"key":"ref7","first-page":"258","article-title":"Transformations commuting with the shift","volume":"3","author":"hedlund","year":"1978","journal-title":"Typological Dynamics"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.3390\/e11020271"},{"key":"ref9","article-title":"Cellular automata transforms: Theory and applications in multimedia, compression, encryption and modeling. Series","volume":"16","author":"lafe","year":"2000","journal-title":"Multimedia Systems and Applications"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-88282-4_8"},{"key":"ref20","article-title":"Reversible quantum cellular automata","author":"schumacher","year":"0","journal-title":"Arxiv quant-ph\/0405174"},{"journal-title":"Harmonic Analysis of Operators on Hilbert Space","year":"1970","author":"sz -nagy","key":"ref22"},{"key":"ref21","first-page":"87","article-title":"Sur les contractions de l'espace de Hilbert","volume":"15","author":"sz -nagy","year":"1953","journal-title":"Acta Sci Math"},{"key":"ref24","doi-asserted-by":"crossref","DOI":"10.7551\/mitpress\/1763.001.0001","author":"toffoli","year":"1987","journal-title":"Cellular Automata Machines A New Environment for Modeling"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(84)90261-6"},{"key":"ref26","first-page":"264","article-title":"Random processes and transformations","volume":"2","author":"ulam","year":"1952","journal-title":"Proc Int Congr Math"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(90)90185-R"}],"event":{"name":"12th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC 2010)","start":{"date-parts":[[2010,9,23]]},"location":"Timisoara","end":{"date-parts":[[2010,9,26]]}},"container-title":["2010 12th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/5714592\/5715259\/05715309.pdf?arnumber=5715309","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,6,16]],"date-time":"2020-06-16T18:21:24Z","timestamp":1592331684000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/5715309\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,9]]},"references-count":27,"URL":"https:\/\/doi.org\/10.1109\/synasc.2010.28","relation":{},"subject":[],"published":{"date-parts":[[2010,9]]}}}