{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T18:21:24Z","timestamp":1761675684222,"version":"3.40.3"},"publisher-location":"New York, NY","reference-count":37,"publisher":"Springer New York","isbn-type":[{"type":"print","value":"9780387758886"},{"type":"electronic","value":"9780387304403"}],"license":[{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009]]},"DOI":"10.1007\/978-0-387-30440-3_550","type":"book-chapter","created":{"date-parts":[[2009,6,17]],"date-time":"2009-06-17T16:25:10Z","timestamp":1245255910000},"page":"9127-9137","source":"Crossref","is-referenced-by-count":5,"title":["Thermodynamics of Computation"],"prefix":"10.1007","author":[{"given":"H. John","family":"Caulfield","sequence":"first","affiliation":[]},{"given":"Lei","family":"Qian","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"550_CR1_550","first-page":"536","volume":"36","author":"W Weaver","year":"1948","unstructured":"Weaver W (1948) Science and complexity. Am Sci 36:536\u2013541","journal-title":"Am Sci"},{"key":"550_CR2_550","volume-title":"Self-organization in nonequilibrium systems","author":"G Nicolis","year":"1977","unstructured":"Nicolis G, Prigogine I (1977) Self-organization in nonequilibrium systems. Wiley, New York"},{"key":"550_CR3_550","volume-title":"Order out of chaos","author":"I Prigogine","year":"1984","unstructured":"Prigogine I, Stengers I (1984) Order out of chaos. Bantam Books, New York"},{"key":"550_CR4_550","volume-title":"Order out of chaos: Man's new dialogue with nature","author":"I Prigogine","year":"1986","unstructured":"Prigogine I, Stengers I, Toffler A (1986) Order out of chaos: Man's new dialogue with nature. Flamingo, London"},{"key":"550_CR5_550","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1109\/MAHC.1996.539910","volume":"18","author":"JM Nyce","year":"1996","unstructured":"Nyce JM (1996) Guest editor's introduction. IEEE Ann Hist Comput 18:3\u20134","journal-title":"IEEE Ann Hist Comput"},{"key":"550_CR6_550","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1007\/978-1-4613-3394-4_11","volume-title":"Advances in Algorithms, Languages, and Complexity","author":"P Orponen","year":"1997","unstructured":"Orponen P (1997) A\u00a0survey of continous-time computation theory. In: Du DZ, Ko KI (eds) Advances in Algorithms, Languages, and Complexity. Kluwer, Dordrecht, pp\u00a0209\u2013224"},{"key":"550_CR7_550","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-21717-7","volume-title":"Computability in Analysis and Physics","author":"MB Pour-El","year":"1989","unstructured":"Pour-El MB, Richards JI (1989) Computability in Analysis and Physics. Springer, Berlin"},{"key":"550_CR8_550","first-page":"205","volume-title":"Discretization chaos \u2013 Feedback control and transition to chaos","author":"W Grantham","year":"1990","unstructured":"Grantham W, Amitm A (1990) Discretization chaos\u00a0\u2013 Feedback control and transition to chaos. In: Control and dynamic systems, vol\u00a034. Advances in control mechanics. Pt. 1 (A91\u201350601 21\u201363). Academic Press, San Diego, pp\u00a0205\u2013277"},{"key":"550_CR9_550","doi-asserted-by":"crossref","first-page":"2065","DOI":"10.1103\/PhysRevLett.62.2065","volume":"62","author":"BM Herbst","year":"1989","unstructured":"Herbst BM, Ablowitz MJ (1989) Numerically induced chaos in the nonlinear Schr\u00f6dinger equation. Phys Rev Lett 62:2065\u20132068","journal-title":"Phys Rev Lett"},{"key":"550_CR10_550","doi-asserted-by":"crossref","unstructured":"Ogorzalek MJ (1997) Chaos and complexity in nonlinear electronic circuits. World Sci Ser Nonlinear Sci Ser A 22","DOI":"10.1142\/9789812798626"},{"key":"550_CR11_550","volume-title":"Quantum Computation and Quantum Information","author":"MA Nielsen","year":"2000","unstructured":"Nielsen MA, Chuang IL (2000) Quantum Computation and Quantum Information. Cambridge University Press, New York"},{"key":"550_CR12_550","volume-title":"The Physics of Quantum Information","author":"D Bouwmeester","year":"2001","unstructured":"Bouwmeester D, Ekert A, Zeilinger A (2001) The Physics of Quantum Information. Springer, Berlin"},{"issue":"3","key":"550_CR13_550","first-page":"281","volume":"2","author":"HJ Caulfield","year":"2006","unstructured":"Caulfield HJ, Qian L (2006) The other kind of quantum computing. Int J Unconv Comput 2(3)281\u2013290","journal-title":"Int J Unconv Comput"},{"key":"550_CR14_550","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1016\/j.ijleo.2005.11.005","volume":"117","author":"HJ Caulfield","year":"2006","unstructured":"HJ Caulfield, Vikram CS, Zavalin A (2006) Optical logic redux. Opt Int J Light Electron Opt 117:199\u2013209","journal-title":"Opt Int J Light Electron Opt"},{"key":"550_CR15_550","doi-asserted-by":"crossref","first-page":"194","DOI":"10.1007\/s100190050084","volume":"3","author":"HJ Caulfield","year":"1999","unstructured":"Caulfield HJ, Kukhtarev N, Kukhtareva T, Schamschula MP, Banarjee P (1999) One, two, and three-beam optical chaos and self organization effects in photorefractive materials. Mat Res Innov 3:194\u2013199","journal-title":"Mat Res Innov"},{"key":"550_CR16_550","first-page":"109","volume":"1","author":"HJ Caulfield","year":"1991","unstructured":"Caulfield HJ, Brasher JD, Hester CF (1991) Complexity issues in optical computing. Opt Comput Process 1:109\u2013113","journal-title":"Opt Comput Process"},{"key":"550_CR17_550","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1007\/BF01937172","volume":"2","author":"HJ Caulfield","year":"1992","unstructured":"Caulfield HJ (1992) Space\u00a0\u2013 time complexity in optical computing. Multidimens Syst Signal Process 2:373\u2013378","journal-title":"Multidimens Syst Signal Process"},{"key":"550_CR18_550","doi-asserted-by":"crossref","first-page":"3697","DOI":"10.1364\/AO.30.003697","volume":"30","author":"J Shamir","year":"1991","unstructured":"Shamir J, Caulfield HJ, Crowe DG (1991) Role of photon statistics in energy-efficient optical computers. Appl Opt 30:3697\u20133701","journal-title":"Appl Opt"},{"issue":"4598","key":"550_CR19_550","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1126\/science.220.4598.671","volume":"220","author":"S Kirkpatrick","year":"1983","unstructured":"Kirkpatrick S, Gelatt CD, Vecchi MP (1983) Optimization by simulated annealing. Science 220(4598):671\u2013680","journal-title":"Science"},{"key":"550_CR20_550","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1007\/BF00940812","volume":"45","author":"V Cerny","year":"1985","unstructured":"Cerny V (1985) A\u00a0thermodynamical approach to the travelling salesman problem: an efficient simulation algorithm. J\u00a0Optim Theory Appl 45:41\u201351","journal-title":"J Optim Theory Appl"},{"volume-title":"Quantum Annealing and Related Optimization Methods. Lecture Notes in Physics","year":"2005","key":"550_CR21_550","unstructured":"Das A, Chakrabarti BK (eds) (2005) Quantum Annealing and Related Optimization Methods. Lecture Notes in Physics, vol\u00a0679. Springer, Heidelberg"},{"key":"550_CR22_550","doi-asserted-by":"crossref","first-page":"2554","DOI":"10.1073\/pnas.79.8.2554","volume":"79","author":"JJ Hopfield","year":"1982","unstructured":"Hopfield JJ (1982) Neural networks and physical systems with emergent collective computational abilities. Proc Natl Acad Sci USA 79:2554\u20132558","journal-title":"Proc Natl Acad Sci USA"},{"key":"550_CR23_550","first-page":"282","volume-title":"Learning and Relearning in Boltzmann Machines","author":"GE Hinton","year":"1986","unstructured":"Hinton GE, Sejnowski TJ (1986) Learning and Relearning in Boltzmann Machines. In: Rumelhart DE, McClelland JL (eds) and the PDP Research Group. Parallel Distributed Processing: Explorations in the Microstructure of Cognition. vol\u00a01. Foundations. Cambridge MIT Press, Cambridge, pp\u00a0282\u2013317"},{"key":"550_CR24_550","doi-asserted-by":"crossref","first-page":"565","DOI":"10.1137\/0143037","volume":"43","author":"R Benzi","year":"1983","unstructured":"Benzi R, Parisi G, Sutera A, Vulpiani A (1983) A\u00a0theory os stochastic resonance in climatic change. SIAM J Appl Math 43:565\u2013578","journal-title":"SIAM J Appl Math"},{"key":"550_CR25_550","doi-asserted-by":"crossref","DOI":"10.1142\/4702","volume-title":"Cellular Automata: A Discrete Universe","author":"A Ilachinski","year":"2001","unstructured":"Ilachinski A (2001) Cellular Automata: A\u00a0Discrete Universe. World Scientific, Singapore"},{"key":"550_CR26_550","doi-asserted-by":"crossref","first-page":"601","DOI":"10.1103\/RevModPhys.55.601","volume":"55","author":"S Wolfram","year":"1983","unstructured":"Wolfram S (1983) Statistical mechanics of cellular automata. Rev Mod Phys 55:601\u2013644","journal-title":"Rev Mod Phys"},{"key":"550_CR27_550","first-page":"49","volume":"2","author":"SA Kupiec","year":"1991","unstructured":"Kupiec SA, Caulfield HJ (1991) Massively parallel optical PLA. Int J Opt Comput 2:49\u201362","journal-title":"Int J Opt Comput"},{"key":"550_CR28_550","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1016\/j.optcom.2006.10.051","volume":"271","author":"HJ Caulfield","year":"2007","unstructured":"Caulfield HJ, Soref RA, Qian L, Zavalin A, Hardy J (2007) Generalized optical logic elements\u00a0\u2013 GOLEs. Opt Commun 271:365\u2013376","journal-title":"Opt Commun"},{"key":"550_CR29_550","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1016\/j.photonics.2006.08.001","volume":"5","author":"HJ Caulfield","year":"2007","unstructured":"Caulfield HJ, Soref RA, Vikram CS (2007) Universal reconfigurable optical logic with silicon-on-insulator resonant structures. Photonics Nanostruct 5:14\u201320","journal-title":"Photonics Nanostruct"},{"key":"550_CR30_550","doi-asserted-by":"crossref","first-page":"905","DOI":"10.1007\/BF02084158","volume":"21","author":"CH Bennett","year":"1982","unstructured":"Bennett CH (1982) The thermodynamics of computation a\u00a0review. Int J Theor Phys 21:905\u2013940","journal-title":"Int J Theor Phys"},{"key":"550_CR31_550","doi-asserted-by":"crossref","first-page":"1017","DOI":"10.1103\/RevModPhys.31.1017","volume":"31","author":"W Bernard","year":"1959","unstructured":"Bernard W, Callen HB (1959) Irreversible thermodynamics of nonlinear processes and noise in driven systems. Rev Mod Phys 31:1017\u20131044","journal-title":"Rev Mod Phys"},{"key":"550_CR32_550","unstructured":"Bub J (2002) Maxwell's Demon and the thermodynamics of computation. arXiv:quant-ph\/0203017"},{"key":"550_CR33_550","volume-title":"Reality Rules","author":"JL Casti","year":"1992","unstructured":"Casti JL (1992) Reality Rules. Wiley, New York"},{"key":"550_CR34_550","first-page":"97","volume":"400","author":"D Deutsch","year":"1985","unstructured":"Deutsch D (1985) Quantum Theory, the Church-Turing Principle and the Universal Quantum Computer. Proc Roy Soc Lond Ser A Math Phys Sci 400:97\u2013117","journal-title":"Proc Roy Soc Lond Ser A Math Phys Sci"},{"key":"550_CR35_550","volume-title":"Analog Methods: Computation and Simulation","author":"WJ Karplus","year":"1958","unstructured":"Karplus WJ, Soroka WW (1958) Analog Methods: Computation and Simulation. McGraw Hill, New York"},{"volume-title":"Maxwell's Demon: Entropy, Information, Computing","year":"1990","key":"550_CR36_550","unstructured":"Leff HS, Rex AF (eds) (1990) Maxwell's Demon: Entropy, Information, Computing. Princeton University Press, Princeton"},{"key":"550_CR37_550","doi-asserted-by":"crossref","first-page":"4731","DOI":"10.1103\/PhysRevA.40.4731","volume":"40","author":"WH Zurek","year":"1989","unstructured":"Zurek WH (1989) Algorithmic randomness and physical entropy. Phys Rev Abstr 40:4731\u20134751","journal-title":"Phys Rev Abstr"}],"container-title":["Encyclopedia of Complexity and Systems Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-0-387-30440-3_550","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,20]],"date-time":"2024-08-20T17:34:26Z","timestamp":1724175266000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-0-387-30440-3_550"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009]]},"ISBN":["9780387758886","9780387304403"],"references-count":37,"URL":"https:\/\/doi.org\/10.1007\/978-0-387-30440-3_550","relation":{},"subject":[],"published":{"date-parts":[[2009]]}}}