Conservative logic

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Logical Reversibility of Computation

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Reversible Computing

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The computer as a physical system: A microscopic quantum mechanical Hamiltonian model of computers as represented by Turing machines

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Universal upper bound on the entropy-to-energy ratio for bounded systems

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Cooperative phenomena in systems far from thermal equilibrium and in nonphysical systems

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Gravitation and Spacetime

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Principles of statistical mechanics : the information theory approach

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Energy cost of information transfer

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Computation and construction universality of reversible cellular automata

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Dissipation-error tradeoff in proofreading

Bennett, C. H. (1979) · Biosystems · doi:10.1016/0303-2647(79)90003-0 · Cited by 152 · see citing works

Bicontinuous extensions of invertible combinatorial functions

Toffoli, T. (1981) · Theory of Computing Systems · doi:10.1007/bf01752388 · Cited by 107 · see citing works

Wanted: a physically possible theory of physics

Landauer, R. W. (1967) · IEEE Spectrum · doi:10.1109/mspec.1967.5215588 · Cited by 47 · see citing works

Femtojoule Josephson tunneling logic gates

Herrell, D. (1974) · IEEE Journal of Solid-State Circuits · doi:10.1109/jssc.1974.1050513 · Cited by 42 · see citing works

Design Principles for Achieving High-Performance Submicron Digital Technologies

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ON A SIMPLE COMBINATORIAL STRUCTURE SUFFICIENT FOR SYBLYING NONTRIVIAL SELF-REPRODUCTION

Priese, L. (1976) · Journal of Cybernetics · doi:10.1080/01969727608927527 · Cited by 25 · see citing works

On Magnetic Bubble Logic Circuits

Kinoshita, K., Sasao, T., & Matsuda, J. (1976) · IEEE Transactions on Computers · doi:10.1109/tc.1976.5009251 · Cited by 19 · see citing works

Physical Uncertainty and Information

Keyes (1977) · IEEE Transactions on Computers · doi:10.1109/tc.1977.1674737 · Cited by 10 · see citing works

Bericht über die 75. Hauptversammlung der Deutschen Bunsen‐Gesellschaft für Physikalische Chemie vom 27. bis 29 May 1976 in Saarbrücken Hauptthema: Physikalisch‐chemische Mechanismen zur Speicherung und Wiedergewinnung von Information

Eigen, M., Klein, E., Kühn, H., et al. (1976) · Berichte der Bunsengesellschaft für physikalische Chemie · doi:10.1002/bbpc.19760801102 · Cited by 2 · see citing works

Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer

Shor, P. W. (1997) · SIAM Journal on Computing · doi:10.1137/s0097539795293172 · Cited by 8,472 · see citing works

Elementary gates for quantum computation

Barenco, A., Bennett, C. H., Cleve, R., DiVincenzo, D. P., Margolus, N., Shor, P., Sleator, T., Smolin, J. A., & Weinfurter, H. (1995) · Physical Review A · doi:10.1103/physreva.52.3457 · Cited by 4,311 · see citing works

Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer

Shor, P. W. (1999) · SIAM Review · doi:10.1137/s0036144598347011 · Cited by 3,904 · see citing works

The thermodynamics of computation—a review

Bennett, C. H. (1982) · International Journal of Theoretical Physics · doi:10.1007/bf02084158 · Cited by 2,006 · see citing works

Quantum mechanical computers

Feynman, R. P. (1986) · Foundations of Physics · doi:10.1007/bf01886518 · Cited by 1,770 · see citing works

Quantum Computation

DiVincenzo, D. P. (1995) · Science · doi:10.1126/science.270.5234.255 · Cited by 1,651 · see citing works

Computation at the edge of chaos: Phase transitions and emergent computation

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Ultimate physical limits to computation

Lloyd, S. (2000) · Nature · doi:10.1038/35023282 · Cited by 1,120 · see citing works

Quantum optical Fredkin gate

Milburn, G. J. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.2124 · Cited by 440 · see citing works

Direct Estimations of Linear and Nonlinear Functionals of a Quantum State

Ekert, A. K., Alves, C. M., Oi, D. K. L., Horodecki, M., Horodecki, P., & Kwek, L. C. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.217901 · Cited by 427 · see citing works

Time/Space Trade-Offs for Reversible Computation

Bennett, C. H. (1989) · SIAM Journal on Computing · doi:10.1137/0218053 · Cited by 405 · see citing works

Reversible electronic logic using switches

Merkle, R. C. (1993) · Nanotechnology · doi:10.1088/0957-4484/4/1/002 · Cited by 178 · see citing works

NMR quantum computation

Jones, J. A. (2001) · Progress in Nuclear Magnetic Resonance Spectroscopy · doi:10.1016/s0079-6565(00)00033-9 · Cited by 177 · see citing works

Computational advantage of quantum random sampling

Hangleiter, D., & Eisert, J. (2023) · Reviews of Modern Physics · doi:10.1103/revmodphys.95.035001 · Cited by 145 · see citing works

Universal logic with encoded spin qubits in silicon

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A coherent perceptron for all-optical learning

Tezak, N., & Mabuchi, H. (2015) · EPJ Quantum Technology · doi:10.1140/epjqt/s40507-015-0023-3 · Cited by 22 · see citing works

Necessary and Sufficient Conditions for Quantum Computation

Lloyd, S. (1994) · Journal of Modern Optics · doi:10.1080/09500349414552341 · Cited by 19 · see citing works

Lattice physics approaches for neural networks

Bardella, G., Franchini, S., Pani, P., & Ferraina, S. (2024) · iScience · doi:10.1016/j.isci.2024.111390 · Cited by 17 · see citing works

On the Conservation Laws and Exact Solutions of a Modified Hunter-Saxton Equation

San, S., & Yaşar, E. (2014) · Advances in Mathematical Physics · doi:10.1155/2014/349059 · Cited by 4 · see citing works

Stratified realization of comparative probabilities

Paolo Vicig, A. (1995) · Decisions in Economics and Finance · doi:10.1007/bf02096430

Discrete and continuous models of conservation laws

Greenberg, J. M., & USDOE, W. (1996) · doi:10.2172/286179

Sticky Particles and Scalar Conservation Laws

Brenier, Y., & Grenier, E. (1998) · SIAM Journal on Numerical Analysis · doi:10.1137/s0036142997317353 · Cited by 388 · see citing works

Nonuniform Dependence on the Initial Data for Solutions of Conservation Laws

Holmes, J. M., & Keyfitz, B. L. (2023) · Communications on Applied Mathematics and Computation · doi:10.1007/s42967-023-00267-9