Edit Profile (opens in new tab) Toffoli, Tommaso Co-Author Distance Author ID: toffoli.tommaso Published as: Toffoli, Tommaso; Toffoli, T. External Links: MGP Documents Indexed: 30 Publications since 1977, including 1 Additional arXiv Preprint 4 Contributions as Editor Co-Authors: 12 Co-Authors with 18 Joint Publications 215 Co-Co-Authors all top 5 Co-Authors 16 single-authored 5 Capobianco, Silvio 5 Levitin, Lev B. 2 Margolus, Norman H. 2 Mentrasti, Patrizia 2 Pallottino, Stefano 2 Wolfram, Stephen 1 Bennett, Charles Henry 1 Biafore, Michael 1 Farmer, James Doyne 1 Fredkin, Edward 1 Svozil, Karl 1 Walton, Zachary all top 5 Serials 7 International Journal of Theoretical Physics 2 Theoretical Computer Science 2 Physica D 2 Natural Computing 2 Journal of Cellular Automata 1 ACM Transactions on Mathematical Software 1 Journal of Computer and System Sciences 1 Mathematical Systems Theory 1 Complex Systems 1 Linear Algebra and its Applications all top 5 Fields 21 Computer science (68-XX) 9 Quantum theory (81-XX) 7 Information and communication theory, circuits (94-XX) 5 General and overarching topics; collections (00-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 663 times in 526 Documents Cited by ▼ Year ▼ Conservative logic. Zbl 0496.94015 Fredkin, Edward; Toffoli, Tommaso 206 1982 Cellular automata machines. Zbl 0655.68055 Margolus, Norman; Toffoli, Tommaso 123 1987 Reversible computing. Zbl 0443.68038 Toffoli, Tommaso 99 1980 Invertible cellular automata: A review. Zbl 0729.68066 Toffoli, Tommaso; Margolus, Norman H. 73 1990 Computation and construction universality of reversible cellular automata. Zbl 0364.94085 Toffoli, Tommaso 59 1977 Cellular automata as an alternative to (rather than an approximation of) differential equations in modeling physics. Zbl 0563.68054 Toffoli, Tommaso 40 1984 Bicontinuous extensions of invertible combinatorial functions. Zbl 0469.94020 Toffoli, Tommaso 20 1981 Cellular automata. Proceedings of an Interdisciplinary Workshop, Los Alamos, New Mexico 87545, USA, March 7–11, 1983. (Reprinted from ‘Physica D’, Vol. 10, Nos. 1 & 2). Zbl 0556.00013 14 1984 Integration of the phase-difference relations in asynchronous sequential networks. Zbl 0389.94027 Toffoli, Tommaso 5 1978 When-and how-can a cellular automaton be rewritten as a lattice gas? Zbl 1155.68052 Toffoli, Tommaso; Capobianco, Silvio; Mentrasti, Patrizia 5 2008 Almost every unit matrix is a \(ULU\). Zbl 0893.15004 Toffoli, Tommaso 4 1997 How to turn a second-order cellular automaton into a lattice gas: a new inversion scheme. Zbl 1071.68070 Toffoli, Tommaso; Capobianco, Silvio; Mentrasti, Patrizia 4 2004 What is the Lagrangian counting? Zbl 1026.83011 Toffoli, Tommaso 3 2003 A digital perspective and the quest for substrate-universal behaviors. Zbl 1028.81501 Toffoli, Tommaso 2 2003 Maximum speed of quantum gate operation. Zbl 1103.81014 Svozil, Karl; Levitin, Lev B.; Toffoli, Tommaso; Walton, Zachary 2 2005 Special issue: Digital perspectives. Selected papers from the workshop, Arlington, VA, USA, July 24–26, 2001. Zbl 1039.81502 1 2003 Cellular automata. Papers presented at Cellular Automata ’86, MIT (Cambridge, Massachusetts), June 16–18, 1986. Zbl 0645.00008 1 1987 A unified bound on the rate of quantum dynamics. Zbl 1191.81088 Levitin, Lev B.; Toffoli, Tommaso 1 2009 Lattice-gas vs cellular automata: the whole story at last. Zbl 1183.68290 Toffoli, Tommaso 1 2009 A unified bound on the rate of quantum dynamics. Zbl 1191.81088 Levitin, Lev B.; Toffoli, Tommaso 1 2009 Lattice-gas vs cellular automata: the whole story at last. Zbl 1183.68290 Toffoli, Tommaso 1 2009 When-and how-can a cellular automaton be rewritten as a lattice gas? Zbl 1155.68052 Toffoli, Tommaso; Capobianco, Silvio; Mentrasti, Patrizia 5 2008 Maximum speed of quantum gate operation. Zbl 1103.81014 Svozil, Karl; Levitin, Lev B.; Toffoli, Tommaso; Walton, Zachary 2 2005 How to turn a second-order cellular automaton into a lattice gas: a new inversion scheme. Zbl 1071.68070 Toffoli, Tommaso; Capobianco, Silvio; Mentrasti, Patrizia 4 2004 What is the Lagrangian counting? Zbl 1026.83011 Toffoli, Tommaso 3 2003 A digital perspective and the quest for substrate-universal behaviors. Zbl 1028.81501 Toffoli, Tommaso 2 2003 Special issue: Digital perspectives. Selected papers from the workshop, Arlington, VA, USA, July 24–26, 2001. Zbl 1039.81502 1 2003 Almost every unit matrix is a \(ULU\). Zbl 0893.15004 Toffoli, Tommaso 4 1997 Invertible cellular automata: A review. Zbl 0729.68066 Toffoli, Tommaso; Margolus, Norman H. 73 1990 Cellular automata machines. Zbl 0655.68055 Margolus, Norman; Toffoli, Tommaso 123 1987 Cellular automata. Papers presented at Cellular Automata ’86, MIT (Cambridge, Massachusetts), June 16–18, 1986. Zbl 0645.00008 1 1987 Cellular automata as an alternative to (rather than an approximation of) differential equations in modeling physics. Zbl 0563.68054 Toffoli, Tommaso 40 1984 Cellular automata. Proceedings of an Interdisciplinary Workshop, Los Alamos, New Mexico 87545, USA, March 7–11, 1983. (Reprinted from ‘Physica D’, Vol. 10, Nos. 1 & 2). Zbl 0556.00013 14 1984 Conservative logic. Zbl 0496.94015 Fredkin, Edward; Toffoli, Tommaso 206 1982 Bicontinuous extensions of invertible combinatorial functions. Zbl 0469.94020 Toffoli, Tommaso 20 1981 Reversible computing. Zbl 0443.68038 Toffoli, Tommaso 99 1980 Integration of the phase-difference relations in asynchronous sequential networks. Zbl 0389.94027 Toffoli, Tommaso 5 1978 Computation and construction universality of reversible cellular automata. Zbl 0364.94085 Toffoli, Tommaso 59 1977 all cited Publications top 5 cited Publications all top 5 Cited by 849 Authors 25 Morita, Kenichi 17 Adamatzky, Andrew I. 11 Toffoli, Tommaso 9 Kari, Jarkko 8 Haghparast, Majid 8 Lee, Jia 8 Leporini, Roberto 6 Alonso-Sanz, Ramón 6 Axelsen, Holger Bock 6 Capobianco, Silvio 6 Castagnoli, Giuseppe 6 Glück, Robert 6 Yang, Guowu 5 Leporati, Alberto 5 Mosleh, Mohammad 5 Sirakoulis, Georgios Ch. 5 Song, Xiaoyu 5 Svozil, Karl 4 Adachi, Susumu 4 Birget, Jean-Camille 4 Das, Sukanta 4 Durand-Lose, Jérôme Olivier 4 Freytes, Hector 4 Giuntini, Roberto 4 Gunji, Yukio-Pegio 4 Hung, William N. N. 4 Imai, Katsunobu 4 Kaarsgaard, Robin 4 Lye, Aaron 4 Margenstern, Maurice 4 Mohammadi, Majid 4 Peper, Ferdinand 4 Perkowski, Marek A. 4 Seck Tuoh Mora, Juan Carlos 4 Sergioli, Giuseppe 4 Sipper, Moshe 4 Younes, Ahmed 3 Akin, Hasan 3 Aledo, Juan Ángel 3 Arrighi, Pablo 3 Baetens, Jan M. 3 Bandman, Olga L. 3 Bolhassani, Ali 3 Boykett, Tim 3 Calude, Cristian S. 3 Cattaneo, Gianpiero 3 Choudhury, Pabitra Pal 3 Dalla Chiara, Maria Luisa 3 D’Ariano, Giacomo Mauro 3 De Baets, Bernard 3 de Lacy Costello, Ben P. J. 3 De Vos, Alexis 3 Dihidar, Kajal 3 Dueck, Gerhard W. 3 El Yacoubi, Samira 3 Gravner, Janko 3 Griffeath, David 3 Juárez Martínez, Genaro 3 Kutrib, Martin 3 Malekbala, Ghazaleh 3 Margara, Luciano 3 Margolus, Norman H. 3 Martín, Margarita 3 Martínez, Genaro J. 3 Mentrasti, Patrizia 3 Moraga, Claudio R. 3 Paolini, Luca 3 Roversi, Luca 3 Salo, Ville O. 3 Sharifan, Leila 3 Taati, Siamak 3 Tsompanas, Michail-Antisthenis I. 3 Valverde, Jose C. 3 Wei, Zihao 3 Wolf, Stefan 3 Wu, Wenling 3 Wuensche, Andrew 3 Yokoyama, Tetsuo 3 Zakablukov, Dmitry V. 3 Zou, Jian 2 Abdessaied, Nabila 2 Ahmadabadi, J. Zarepour 2 Ahmed, Suhaib 2 Al-Rabadi, Anas N. 2 Amy, Matthew 2 Baez, John C. 2 Bakaoukas, Anastasios G. 2 Bang, Jeongho 2 Barzanouni, Ali 2 Bertini, Cesarino 2 Biafore, Michael 2 Boccara, Nino 2 Boghosian, Bruce M. 2 Carette, Jacques 2 Case, John 2 Caulfield, H. John 2 Chang, Chih-Hung 2 Chapa Vergara, Sergio Víctor 2 Chaudhuri, Parimal Pal 2 Chen, Fulong ...and 749 more Authors all top 5 Cited in 132 Serials 39 International Journal of Theoretical Physics 39 Theoretical Computer Science 34 Physica D 27 Quantum Information Processing 17 Journal of Statistical Physics 16 Natural Computing 13 Chaos, Solitons and Fractals 12 International Journal of Modern Physics C 11 Applied Mathematics and Computation 10 Information Sciences 10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Journal of Computer and System Sciences 8 International Journal of Quantum Information 7 Communications in Nonlinear Science and Numerical Simulation 6 Foundations of Physics 5 Information and Computation 5 Linear Algebra and its Applications 5 Prikladnaya Diskretnaya Matematika 4 International Journal of General Systems 4 International Journal of Algebra and Computation 4 Advances in Complex Systems 3 International Journal of Modern Physics B 3 Computers & Mathematics with Applications 3 International Journal of Foundations of Computer Science 3 Discrete Mathematics and Applications 3 Annals of Physics 3 Cybernetics and Systems Analysis 3 Electronic Journal of Probability 3 New Journal of Physics 3 Journal of Physics A: Mathematical and Theoretical 3 Journal of Cellular Automata 3 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 2 Acta Informatica 2 Classical and Quantum Gravity 2 Communications in Mathematical Physics 2 Information Processing Letters 2 Journal of Computational Physics 2 Physica A 2 Reviews of Modern Physics 2 International Journal of Circuit Theory and Applications 2 Journal of Algebra 2 Mathematical Systems Theory 2 Studies in Applied Mathematics 2 Advances in Applied Mathematics 2 New Generation Computing 2 Journal of Theoretical Probability 2 Mathematical and Computer Modelling 2 MSCS. Mathematical Structures in Computer Science 2 International Journal of Computer Mathematics 2 Journal of Mathematical Sciences (New York) 2 Mathematical Logic Quarterly (MLQ) 2 Discrete Dynamics in Nature and Society 2 RAIRO. Theoretical Informatics and Applications 2 Foundations of Science 2 Physical Review Letters 2 Journal of Applied Mathematics 2 Entropy 2 Journal of Statistical Mechanics: Theory and Experiment 2 International Journal of Parallel, Emergent and Distributed Systems 2 Annalen der Physik 2 Journal of Logical and Algebraic Methods in Programming 1 International Journal of Modern Physics A 1 Biological Cybernetics 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 European Journal of Physics 1 International Journal of Systems Science 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Moscow University Mathematics Bulletin 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Bulletin of the Polish Academy of Sciences. Technical Sciences 1 Calcolo 1 Canadian Journal of Mathematics 1 Computing 1 Fuzzy Sets and Systems 1 Journal of Computational and Applied Mathematics 1 Kybernetes 1 Mathematics and Computers in Simulation 1 Mathematica Slovaca 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Synthese 1 Transactions of the American Mathematical Society 1 Cybernetics 1 Journal of Symbolic Computation 1 Journal of Computer Science and Technology 1 Journal of Cryptology 1 Formal Aspects of Computing 1 Neural Networks 1 Annals of Operations Research 1 JETAI. Journal of Experimental & Theoretical Artificial Intelligence 1 Applied Mathematical Modelling 1 Automation and Remote Control 1 Pattern Recognition 1 Journal of Nonlinear Science 1 Advances in Engineering Software 1 Experimental Mathematics ...and 32 more Serials all top 5 Cited in 38 Fields 342 Computer science (68-XX) 156 Quantum theory (81-XX) 89 Dynamical systems and ergodic theory (37-XX) 88 Information and communication theory, circuits (94-XX) 56 Statistical mechanics, structure of matter (82-XX) 33 Mathematical logic and foundations (03-XX) 31 Biology and other natural sciences (92-XX) 15 Combinatorics (05-XX) 12 Numerical analysis (65-XX) 12 Fluid mechanics (76-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Partial differential equations (35-XX) 10 Probability theory and stochastic processes (60-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Category theory; homological algebra (18-XX) 9 Systems theory; control (93-XX) 8 General and overarching topics; collections (00-XX) 8 Mechanics of particles and systems (70-XX) 6 Group theory and generalizations (20-XX) 6 Relativity and gravitational theory (83-XX) 5 Optics, electromagnetic theory (78-XX) 4 Statistics (62-XX) 4 Operations research, mathematical programming (90-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of deformable solids (74-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year