Academic literature on the topic 'Quantum theories as models of complexity'
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Journal articles on the topic "Quantum theories as models of complexity"
Pagliaro, Gioacchino, and Linda Marconi. "The Holistic Mind: The Necessity Of A New Epistemology." Integral Transpersonal Journal 8, no. 8 (June 2016): 58. http://dx.doi.org/10.32031/itibte_itj_8-pgml3.
Full textChaves, Rafael, Daniel Cavalcanti, and Leandro Aolita. "Causal hierarchy of multipartite Bell nonlocality." Quantum 1 (August 4, 2017): 23. http://dx.doi.org/10.22331/q-2017-08-04-23.
Full textCrumpei, Gabriel, and Alina Gavriluţ. "Emergence, a Universal Phenomenon which Connects Reality to Consciousness, Natural Sciences to Humanities." Human and Social Studies 7, no. 2 (June 1, 2018): 89–106. http://dx.doi.org/10.2478/hssr-2018-0017.
Full textGoncharov, S. S., and B. Khoussainov. "Complexity of Categorical Theories with Computable Models." Algebra and Logic 43, no. 6 (November 2004): 365–73. http://dx.doi.org/10.1023/b:allo.0000048826.92325.02.
Full textKeski-Vakkuri, E., A. J. Niemi, G. Semenoff, and O. Tirkkonen. "Topological quantum theories and integrable models." Physical Review D 44, no. 12 (December 15, 1991): 3899–905. http://dx.doi.org/10.1103/physrevd.44.3899.
Full textByrne, David, Raymond A. Eve, Sara Horsfall, Mary E. Lee, and Alan Dean. "Chaos, Complexity and Sociology: Myths, Models and Theories." British Journal of Sociology 49, no. 3 (September 1998): 501. http://dx.doi.org/10.2307/591399.
Full textAgeev, Dmitry. "Holography, quantum complexity and quantum chaos in different models." EPJ Web of Conferences 191 (2018): 06006. http://dx.doi.org/10.1051/epjconf/201819106006.
Full textWitten, Edward. "Gauge theories, vertex models, and quantum groups." Nuclear Physics B 330, no. 2-3 (January 1990): 285–346. http://dx.doi.org/10.1016/0550-3213(90)90115-t.
Full textJordan, Stephen P., Keith S. M. Lee, and John Preskill. "Quantum computation of scattering in scalar quantum field theories." Quantum Information and Computation 14, no. 11&12 (September 2014): 1014–80. http://dx.doi.org/10.26421/qic14.11-12-8.
Full textRANDJBAR-DAEMI, S., ABDUS SALAM, and J. A. STRATHDEE. "σ-MODELS AND STRING THEORIES." International Journal of Modern Physics A 02, no. 03 (June 1987): 667–93. http://dx.doi.org/10.1142/s0217751x87000247.
Full textDissertations / Theses on the topic "Quantum theories as models of complexity"
Kitto, Kirsty, and Kirsty Kitto@flinders edu au. "Modelling and Generating Complex Emergent Behaviour." Flinders University. School of Chemistry, Physics and Earth Sciences, 2006. http://catalogue.flinders.edu.au./local/adt/public/adt-SFU20060626.132947.
Full textMehraban, Saeed. "Computational complexity of certain quantum theories in 1+1 dimensions." Thesis, Massachusetts Institute of Technology, 2015. http://hdl.handle.net/1721.1/101472.
Full textThis electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Cataloged from student-submitted PDF version of thesis.
Includes bibliographical references (pages 141-145).
While physical theories attempt to break down the observed structure and behavior of possibly large and complex systems to short descriptive axioms, the perspective of a computer scientist is to start with simple and believable set of rules to discover their large scale behaviors. Computer science and physics, however, can be combined into a new framework, wherein structures can be compared with each other according to scalar observables like mass and temperature, and also complexity at the same time. For example, similar to saying that one object is heavier than the other, we can discuss which system is more complex. According to this point of view, a more complex system can be interpreted as the one which can be programmed to encode and simulate the behavior of the others within its own degrees of freedom. Within this framework, at the most fundamental layer, physical systems are related to languages. In this thesis, I try to exemplify this point of view through an analysis of certain quantum theories in two dimensional space-time. In simple words, these models are the quantum analogues of elastic scattering of colored balls moving on a line. The models are closely related to each other in both relativistic and non-relativistic regimes. Physical examples that motivate this are the factorized scattering matrix of quantum field theory, and the repulsive delta interactions of quantum mechanics, in 1+1 dimensions. In classical mechanics, when two hard balls collide, they bounce off and remain in the same order. However, in the quantum setting, during a collision, either the balls bounce off, or otherwise they tunnel through each other, and exchange their configurations. Each event occurs with a certain probability. As a result, moving balls are put in a superposition of being in different color configurations. Thereby, if we consider n distinct balls, the state space is according to their n! possible arrangements, and their collisions act as quantum transpositions. Quantum transpositions can then be viewed as local quantum gates. I therefore consider the general Hilbert space of permutations, and study the space of unitary operators that can be generated by the local permuting gates. I first show that all of the discussed quantum theories can be programmed into an idealized model, the quantum ball permuting model, and then I will try to pin down the language of this model within the already known complexity classes. The main approach is to consider a series of models, as the variations of the ball scattering problem, and then to relate them to each other, using tools of computational complexity and quantum complexity theory. I find that the computational complexity of the ball permuting model depends on the initial superposition of the balls. More precisely, if the balls start out from the identity permutation, the model can be simulated in a one clean qubit, which is believed to be strictly weaker than the standard model of quantum computing. Given this upper-bound on the ball permuting model, the result is that the model of ball scatterings can be simulated within a one clean qubit, if they start out from an identity permutation. Furthermore, I will demonstrate that if special superpositions are allowed in the initial state, then the ball permuting model can efficiently simulate and sample from the output distribution of standard quantum computers. Next, I show how to use intermediate demolition ball detections to simulate the ball permuting model nondeterministically. According to this result, using post-selection on the outcome of these measurements, one obtains the original ball permuting model. Therefore, the post-selected analogue of ball scattering model can efficiently simulate standard quantum computers, when arbitrary initial superpositions are allowed. In the end, I formalize a quantum computer based on ball collisions and intermediate ball detections, and then I prove that the possibility of efficient simulation of this model on a classical computer is ruled out, unless the polynomial hierarchy collapses to its third level.
by Saeed Mehraban.
S.M.
Koh, Dax Enshan. "Classical simulation complexity of restricted models of quantum computation." Thesis, Massachusetts Institute of Technology, 2019. https://hdl.handle.net/1721.1/122164.
Full textCataloged from PDF version of thesis.
Includes bibliographical references (pages 355-372).
Restricted models of quantum computation are mathematical models which describe quantum computers that have limited access to certain resources. Well-known examples of such models include the boson sampling model, extended Clifford circuits, and instantaneous quantum polynomial-time circuits. While unlikely to be universal for quantum computation, several of these models appear to be able to outperform classical computers at certain computational tasks, such as sampling from certain probability distributions. Understanding which of these models are capable of performing such tasks and characterizing the classical simulation complexity of these models--i.e. how hard it is to simulate these models on a classical computer--are some of the central questions we address in this thesis. Our first contribution is a classification of various extended Clifford circuits according to their classical simulation complexity.
Among these circuits are the conjugated Clifford circuits, which we prove cannot be efficiently classically simulated up to multiplicative or additive error, under certain plausible conjectures in computational complexity theory. Our second contribution is an estimate of the number of qubits needed in various restricted quantum computation models in order for them to be able to demonstrate quantum computational supremacy. Our estimate is obtained by fine-graining existing hardness results for these restricted models. Our third contribution is a new alternative proof of the Gottesman-Knill theorem, which states that Clifford circuits can be efficiently simulated by a classical computer. Our proof uses the sum-over-paths technique and establishes a correspondence between quantum circuits and a class of exponential sums. Our final contribution is a theorem characterizing the operations that can be efficiently simulated using a particular rebit simulator.
An application of this result is a generalization of the Gottesman-Knill theorem that allows for the efficient classical simulation of certain nonlinear operations.
"Funding support from the National Science Scholarship awarded by the Agency for Science, Technology and Research (A*STAR), Singapore, as well as the Enabling Practical-scale Quantum Computing (EPiQC) Expedition, an NSF expedition in computing"--Page 6.
by Dax Enshan Koh.
Ph. D.
Ph.D. Massachusetts Institute of Technology, Department of Mathematics
Nolland, David John. "Quantum field theories with fermions in the Schrödinger representation." Thesis, Durham University, 2000. http://etheses.dur.ac.uk/4410/.
Full textCorrado, Richard Anthony. "Some aspects of the connection between field theories and gravity /." Digital version accessible at:, 1999. http://wwwlib.umi.com/cr/utexas/main.
Full textGómez, Subils Javier. "Non-perturbative Aspects of Quantum Field Theories from Holography." Doctoral thesis, Universitat de Barcelona, 2021. http://hdl.handle.net/10803/672276.
Full textEn esta tesis hemos utilizado la dualidad holográfica para entender el régimen no perturbativo de una familia uni-paramétrica de teorías con múltiples escalas. Primeramente, hemos repasado los ingredientes esenciales que necesitamos de teoría de cuerdas. A la vez, hemos introducimos algunos resultados previos que son el punto de partida de nuestras investigaciones. Tras dicha introducción, se recogen todas las soluciones de supergravedad duales a las teorías en tres dimensiones que estudiamos. Genéricamente, comparten la misma física a altas energías pero a bajas energías muestran una rica fenomenología. En particular, desarrollan un salto de masa en su espectro. Curiosamente, las teorías correspondientes a tomar los valores límites del parámetro son especiales. En un caso, la teoría fluye a una teoría de campos conforme. En el otro se obtiene una teoría confinante, con potencial lineal entre quarks. También se calcula el espectro de estados con espín 0 y espín 2. Además, se analizan diferentes medidas de entrelazamiento cuántico que en nuestro caso no son capaces de discriminar entre teorías con confinamiento y teorías con un salto de masa. Esto contrasta con algunas propuestas que se encuentran en la literatura. Adicionalmente hemos construido numéricamente soluciones de branas negras, que describen estados térmicos de las teorías. Hemos descubierto un diagrama de fases muy rico, con transiciones de fase de primer y segundo orden, junto a un punto crítico y un punto triple. Interesados por el efecto que una teoría conforme de campos pudiera tener si es cercana al flujo del grupo de renormalización de otra teoría, en el Capítulo 5 nos adentramos en el estudio de teorías conformes de campos complejas, dando su el dual holográfico. Finalmente, se calculan coeficientes de transporte en teorías holográficas que modelan Cromodinámica Quántica y que podrían tener consecuencias fenomenológicas en observaciones referentes a estrellas de neutrones.
Volkholz, Jan. "Nonperturbative studies of quantum field theories on noncommutative spaces." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2007. http://dx.doi.org/10.18452/15712.
Full textThis work deals with three quantum field theories on spaces with noncommuting position operators. Noncommutative models occur in the study of string theories and quantum gravity. They usually elude treatment beyond the perturbative level. Due to the technique of dimensional reduction, however, we are able to investigate these theories nonperturbatively. This entails translating the action functionals into a matrix language, which is suitable for numerical simulations. First we explore a scalar model on a noncommutative plane. We investigate the continuum limit at fixed noncommutativity, which is known as the double scaling limit. Here we focus especially on the fate of the striped phase, a phase peculiar to the noncommutative version of the regularized scalar model. We find no evidence for its existence in the double scaling limit. Next we examine the U(1) gauge theory on a four-dimensional spacetime, where two spatial directions are noncommutative. We examine the phase structure and find a new phase with a spontaneously broken translation symmetry. In addition we demonstrate the existence of a finite double scaling limit which confirms the renormalizability of the theory. Furthermore we investigate the dispersion relation of the photon. In the weak coupling phase our results are consistent with an infrared instability predicted by perturbation theory. If the translational symmetry is broken, however, we find a dispersion relation corresponding to a massless particle. Finally, we investigate a supersymmetric theory on the fuzzy sphere, which features scalar neutral bosons and Majorana fermions. The supersymmetry is exact in the limit of infinitely large matrices. We investigate the phase structure of the model and find three distinct phases. Summarizing, we study noncommutative field theories beyond perturbation theory. Moreover, we simulate a supersymmetric theory on the fuzzy sphere, which might provide an alternative to attempted lattice formulations.
Riederer, Stéphane Jean. "D-theory formulation of quantum field theories and application to CP(N-1) models /." [S.l.] : [s.n.], 2006. http://www.zb.unibe.ch/download/eldiss/06riederer_sj.pdf.
Full textMuntean, Ioan Lucian. "Unification and explanation in early Kaluza-Klein theories." Diss., [La Jolla] : University of California, San Diego, 2009. http://wwwlib.umi.com/cr/ucsd/fullcit?p3369373.
Full textTitle from first page of PDF file (viewed September 17, 2009). Available via ProQuest Digital Dissertations. Vita. Includes bibliographical references (p. 444-468).
Karabin, Svyatoslav. "Generalized hydrodynamics of a class of integrable quantum field theories with non-diagonal scattering." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/18009/.
Full textBooks on the topic "Quantum theories as models of complexity"
Han, Haoying, ed. Urban complexity and planning: Theories and computer simulations. Burlington, VT: Ashgate Pub., 2012.
Find full textZak, Michail. From instability to intelligence: Complexity and predictability in nonlinear dynamics. Berlin: Springer, 1997.
Find full textCarleton, DeTar, ed. Lattice methods for quantum chromodynamics. Singapore: World Scientific, 2006.
Find full textauthor, DeTar Carleton joint, ed. Lattice methods for quantum chromodynamics. Hackensack, NJ: World Scientific, 2006.
Find full textSuzuki, Sei. Quantum Ising Phases and Transitions in Transverse Ising Models. 2nd ed. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.
Find full textInternational, School of Subnuclear Physics (44th 2006 Erice Italy). The logic of nature, complexity and new physics: From quark-gluon plasma to superstrings, quantum gravity and beyond : proceedings of the International School of Subnuclear Physics. Singapore: World Scientific, 2008.
Find full textAntonino, Zichichi, ed. The logic of nature, complexity and new physics: From quark-gluon plasma to superstrings, quantum gravity and beyond : proceedings of the International School of Subnuclear Physics. Singapore: World Scientific, 2008.
Find full textG, Bagrov V., ed. Vvedenie v kvantovui͡u︡ teorii͡u︡ strun i superstrun. Novosibirsk: "Nauka," Sibirskoe otd-nie, 1990.
Find full textVega, H. J. de 1949- and Sanchez N. 1952-, eds. String theory, quantum cosmology and quantum gravity: Integrable and conformal invariant theories : proceedings of the Paris-Meudon Colloquim, 22-26 September 1986. Singapore: World Scientific, 1987.
Find full textPortugali, Juval. Complexity Theories of Cities Have Come of Age: An Overview with Implications to Urban Planning and Design. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.
Find full textBook chapters on the topic "Quantum theories as models of complexity"
Laumann, C. R., R. Moessner, A. Scardicchio, and S. L. Sondhi. "Statistical Mechanics of Classical and Quantum Computational Complexity." In Modern Theories of Many-Particle Systems in Condensed Matter Physics, 295–332. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-10449-7_7.
Full textLandsman, Klaas. "Classical models of quantum mechanics." In Fundamental Theories of Physics, 191–245. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51777-3_6.
Full text’t Hooft, Gerard. "Deterministic Models in Quantum Notation." In Fundamental Theories of Physics, 19–27. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-41285-6_2.
Full textDorey, Patrick. "Hidden Goemetrical Structures in Integrabel Models." In Integrable Quantum Field Theories, 83–97. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_7.
Full textLukac, Martin, Michitaka Kameyama, Marek Perkowski, Pawel Kerntopf, and Claudio Moraga. "Fault Models in Reversible and Quantum Circuits." In Emergence, Complexity and Computation, 475–93. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-33924-5_19.
Full textBishop, R. F., J. B. Parkinson, and Yang Xian. "Quantum Spin Lattice Models: A Coupled-Cluster Treatment." In Condensed Matter Theories, 37–62. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4615-3686-4_3.
Full textJackiw, R. "Higher Symmetries in Lower-Dimensional Models." In Integrable Systems, Quantum Groups, and Quantum Field Theories, 289–316. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1980-1_7.
Full textSotkov, Galen, and Marian Stanishkov. "Off — Critical W ∞ and Virasoro Algebras as Dynamical Symmetries of the Integrable Models." In Integrable Quantum Field Theories, 217–34. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_16.
Full textKetov, Sergei V. "LEEA in 4d, N = 2 Gauge Field Theories." In Quantum Non-linear Sigma-Models, 295–345. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-04192-5_8.
Full textVega, H. J. "Quantum Groups, Integrable Theories, and Conformal Models." In Quantum Mechanics of Fundamental Systems 2, 43–57. Boston, MA: Springer US, 1989. http://dx.doi.org/10.1007/978-1-4613-0797-6_5.
Full textConference papers on the topic "Quantum theories as models of complexity"
HUTTER, MARCUS. "OBSERVER LOCALIZATION IN MULTIVERSE THEORIES." In Quantum Mechanics, Elementary Particles, Quantum Cosmology and Complexity. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814335614_0069.
Full textStroganov, Yuri, and F. C. Alcaraz. "Free fermion branches in some quantum spin models." In Workshop on Integrable Theories, Solitons and Duality. Trieste, Italy: Sissa Medialab, 2002. http://dx.doi.org/10.22323/1.008.0037.
Full textDelius, Gustav Walter, and Alan George. "Quantum group symmetry of integrable models on the half-line." In Workshop on Integrable Theories, Solitons and Duality. Trieste, Italy: Sissa Medialab, 2002. http://dx.doi.org/10.22323/1.008.0042.
Full textFaria da Veiga, Paulo Alfonso, and M. O'Carroll. "Staggering tranformations and the excitation spectrum of diverse lattice quantum models." In Workshop on Integrable Theories, Solitons and Duality. Trieste, Italy: Sissa Medialab, 2002. http://dx.doi.org/10.22323/1.008.0011.
Full textKwong, Nai H., Ilya Rumyantsev, Binder Rolf, and Arthur L. Smirl. "The connection between phenomenological few-level models and microscopic theories in the nonlinear optics of semiconductors." In International Quantum Electronics Conference. Washington, D.C.: OSA, 2004. http://dx.doi.org/10.1364/iqec.2004.iwa2.
Full textBaseilhac, Pascal. "From reflection amplitudes to one-point functions in non-simply laced affine Toda theories and applications to coupled minimal models." In Non-perturbative Quantum Effects 2000. Trieste, Italy: Sissa Medialab, 2000. http://dx.doi.org/10.22323/1.006.0042.
Full textdel Águila Ferrandis, José, Ricardo Zamora Rodríguez, Chryssostomos Chryssostomidis, and Luca Bonfiglio. "Influence of Viscosity and Non-Linearities in Predicting Motions of a Wind Energy Offshore Platform in Regular Waves." In ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/omae2018-78127.
Full textSaura-Mas, Sandra, Asunción Blanco-Romero, and Jaume Barrera. "Towards a transdisciplinary approach in the training of teachers: Creating procedures in learning and teaching in higher education." In Seventh International Conference on Higher Education Advances. Valencia: Universitat Politècnica de València, 2021. http://dx.doi.org/10.4995/head21.2021.13037.
Full textCeste, Tyler L., Sridhar Santhanam, and Gerard F. Jones. "Analysis of a Liquid Filled Poroelastic Cylinder Exposed to a Time Varying Pressure Load." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-71006.
Full textGuseynov, Aleksandr, and Viktoriya Shipovskaya. "Development of scientific images about radicalization of protest activity of personality." In Safety psychology and psychological safety: problems of interaction between theorists and practitioners. «Publishing company «World of science», LLC, 2020. http://dx.doi.org/10.15862/53mnnpk20-02.
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