Academic literature on the topic 'Computational quantum theory'

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Journal articles on the topic "Computational quantum theory"

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KRISHNAMURTHY, E. V., and VIKRAM KRISHNAMURTHY. "QUANTUM FIELD THEORY AND COMPUTATIONAL PARADIGMS." International Journal of Modern Physics C 12, no. 08 (October 2001): 1179–205. http://dx.doi.org/10.1142/s0129183101002437.

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We introduce the basic theory of quantization of radiation field in quantum physics and explain how it relates to the theory of recursive functions in computer science. We outline the basic differences between quantum mechanics (QM) and quantum field theory (QFT) and explain why QFT is better suited for a computational paradigm — based on algorithmic requirement, countably infinite degrees of freedom and the creation of macroscopic output objects. The quanta of the radiation field correspond to the non-negative integers and the harmonic oscillator spectra correspond to the recursive computation — with the creation and annihilation operators, respectively, playing the same role as the successor and predecessor in computability theory. Accordingly, this approach relates the classical computational model and the quantum physical model more directly than the Turing machine approach used earlier. Also, the application of Lambda calculus formalism and the associated denotational semantics (that is widely used in the classical computational paradigm involving recursive functions) for applications to computational paradigm based on quantum field theory is described. Finally, we explain where QFT and conventional paradigm depart from each other, and examine the concept of fixed points, phase transitions, programmability, emergent computation and related open problems.
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Potvin, Jean, Harvey Gould, and Jan Tobochnik. "Computational Quantum-Field Theory." Computers in Physics 7, no. 2 (1993): 149. http://dx.doi.org/10.1063/1.4823157.

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Stephen, David T., Hendrik Poulsen Nautrup, Juani Bermejo-Vega, Jens Eisert, and Robert Raussendorf. "Subsystem symmetries, quantum cellular automata, and computational phases of quantum matter." Quantum 3 (May 20, 2019): 142. http://dx.doi.org/10.22331/q-2019-05-20-142.

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Quantum phases of matter are resources for notions of quantum computation. In this work, we establish a new link between concepts of quantum information theory and condensed matter physics by presenting a unified understanding of symmetry-protected topological (SPT) order protected by subsystem symmetries and its relation to measurement-based quantum computation (MBQC). The key unifying ingredient is the concept of quantum cellular automata (QCA) which we use to define subsystem symmetries acting on rigid lower-dimensional lines or fractals on a 2D lattice. Notably, both types of symmetries are treated equivalently in our framework. We show that states within a non-trivial SPT phase protected by these symmetries are indicated by the presence of the same QCA in a tensor network representation of the state, thereby characterizing the structure of entanglement that is uniformly present throughout these phases. By also formulating schemes of MBQC based on these QCA, we are able to prove that most of the phases we construct are computationally universal phases of matter, in which every state is a resource for universal MBQC. Interestingly, our approach allows us to construct computational phases which have practical advantages over previous examples, including a computational speedup. The significance of the approach stems from constructing novel computationally universal phases of matter and showcasing the power of tensor networks and quantum information theory in classifying subsystem SPT order.
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Park, Buhm Soon. "Between Accuracy and Manageability: Computational Imperatives in Quantum Chemistry." Historical Studies in the Natural Sciences 39, no. 1 (2009): 32–62. http://dx.doi.org/10.1525/hsns.2009.39.1.32.

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This article explores the place of computation in the history of quantum theory by examining the development of several approximation methods to solve the Schröödinger equation without using empirical information, as these were worked out in the years from 1927 to 1933. These ab initio methods, as they became known, produced the results that helped validate the use of quantum mechanics in many-body atomic and molecular systems, but carrying out the computations became increasingly laborious and difficult as better agreement between theory and experiment was pursued and more complex systems were tackled. I argue that computational work in the early years of quantum chemistry shows an emerging practice of theory that required human labor, technological improvement (computers), and mathematical ingenuity.
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BERTINI, CESARINO, and ROBERTO LEPORINI. "QUANTUM COMPUTATIONAL FINITE-VALUED LOGICS." International Journal of Quantum Information 05, no. 05 (October 2007): 641–65. http://dx.doi.org/10.1142/s0219749907003109.

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The theory of logical gates in quantum computation has suggested new forms of quantum logic, called quantum computational logics. The basic semantic idea is the following: the meaning of a sentence is identified with a quantum information quantity, represented by a quregister (a system of qudits) or, more generally, by a mixture of quregisters (called qumix), whose dimension depends on the logical complexity of the sentence. At the same time, the logical connectives are interpreted as logical operations defined in terms of quantum logical gates. Physical models of quantum computational logics can be built by means of Mach-Zehnder interferometers.
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Potvin, Jean, Harvey Gould, and Jan Tobochnik. "Computational Quantum Field Theory. Part II: Lattice Gauge Theory." Computers in Physics 8, no. 2 (1994): 170. http://dx.doi.org/10.1063/1.4823280.

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DALLA CHIARA, MARIA LUISA, ROBERTO GIUNTINI, and ROBERTO LEPORINI. "LOGICS FROM QUANTUM COMPUTATION." International Journal of Quantum Information 03, no. 02 (June 2005): 293–337. http://dx.doi.org/10.1142/s0219749905000943.

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The theory of logical gates in quantum computation has suggested new forms of quantum logic, called quantum computational logics. The basic semantic idea is the following: the meaning of a sentence is identified with a quregister (a system of qubits) or, more generally, with a mixture of quregisters (called qumix). In this framework, any sentence α of the language gives rise to a quantum tree: a kind of quantum circuit that transforms the quregister (qumix) associated to the atomic subformulas of α into the quregister (qumix) associated to α. A variant of the quantum computational semantics is represented by the quantum holistic semantics, which permits us to represent entangled meanings. Physical models of quantum computational logics can be built by means of Mach–Zehnder interferometers.
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Krishnamurthy, E. V. "Computational Power of Quantum Machines, Quantum Grammars and Feasible Computation." International Journal of Modern Physics C 09, no. 02 (March 1998): 213–41. http://dx.doi.org/10.1142/s0129183198000170.

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This paper studies the computational power of quantum computers to explore as to whether they can recognize properties which are in nondeterministic polynomial-time class (NP) and beyond. To study the computational power, we use the Feynman's path integral (FPI) formulation of quantum mechanics. From a computational point of view the Feynman's path integral computes a quantum dynamical analogue of the k-ary relation computed by an Alternating Turing machine (ATM) using AND-OR Parallelism. Hence, if we can find a suitable mapping function between an instance of a mathematical problem and the corresponding interference problem, using suitable potential functions for which FPI can be integrated exactly, the computational power of a quantum computer can be bounded to that of an alternating Turing machine that can solve problems in NP (e.g, factorization problem) and in polynomial space. Unfortunately, FPI is exactly integrable only for a few problems (e.g., the harmonic oscillator) involving quadratic potentials; otherwise, they may be only approximately computable or noncomputable. This means we cannot in general solve all quantum dynamical problems exactly except for those special cases of quadratic potentials, e.g., harmonic oscillator. Since there is a one to one correspondence between the quantum mechanical problems that can be analytically solved and the path integrals that can be exactly evaluated, we can say that the noncomputability of FPI implies quantum unsolvability. This is the analogue of classical unsolvability. The Feynman's path graph can be considered as a semantic parse graph for the quantum mechanical sentence. It provides a semantic valuation function of the terminal sentence based on probability amplitudes to disambiguate a given quantum description and obtain an interpretation in a linear time. In Feynman's path integral, the kernels are partially ordered over time (different alternate paths acting concurrently at the same time) and multiplied. The semantic valuation is computable only if the FPI is computable. Thus both the expressive power and complexity aspects quantum computing are mirrored by the exact and efficient integrability of FPI.
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DATTA, ANIMESH, and ANIL SHAJI. "QUANTUM DISCORD AND QUANTUM COMPUTING — AN APPRAISAL." International Journal of Quantum Information 09, no. 07n08 (October 2011): 1787–805. http://dx.doi.org/10.1142/s0219749911008416.

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We discuss models of computing that are beyond classical. The primary motivation is to unearth the cause of non-classical advantages in computation. Completeness results from computational complexity theory lead to the identification of very disparate problems, and offer a kaleidoscopic view into the realm of quantum enhancements in computation. Emphasis is placed on the "power of one qubit" model, and the boundary between quantum and classical correlations as delineated by quantum discord. A recent result by Eastin on the role of this boundary in the efficient classical simulation of quantum computation is discussed. Perceived drawbacks in the interpretation of quantum discord as a relevant certificate of quantum enhancements are addressed.
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Raussendorf, Robert. "Cohomological framework for contextual quantum computations." quantum Information and Computation 19, no. 13&14 (November 2019): 1141–70. http://dx.doi.org/10.26421/qic19.13-14-4.

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We describe a cohomological framework for measurement-based quantum computation in which symmetry plays a central role. Therein, the essential information about the computation is contained in either of two topological invariants, namely two cohomology groups. One of them applies only to deterministic quantum computations, and the other to general probabilistic ones. Those invariants characterize the computational output, and at the same time witness quantumness in the form of contextuality. In result, they give rise to fundamental algebraic structures underlying quantum computation.
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Dissertations / Theses on the topic "Computational quantum theory"

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Midgley, Stuart. "Quantum waveguide theory." University of Western Australia. School of Physics, 2003. http://theses.library.uwa.edu.au/adt-WU2004.0036.

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The study of nano-electronic devices is fundamental to the advancement of the semiconductor industry. As electronic devices become increasingly smaller, they will eventually move into a regime where the classical nature of the electrons no longer applies. As the quantum nature of the electrons becomes increasingly important, classical or semiclassical theories and methods will no longer serve their purpose. For example, the simplest non-classical effect that will occur is the tunnelling of electrons through the potential barriers that form wires and transistors. This results in an increase in noise and a reduction in the device?s ability to function correctly. Other quantum effects include coulomb blockade, resonant tunnelling, interference and diffraction, coulomb drag, resonant blockade and the list goes on. This thesis develops both a theoretical model and computational method to allow nanoelectronic devices to be studied in detail. Through the use of computer code and an appropriate model description, potential problems and new novel devices may be identified and studied. The model is as accurate to the physical realisation of the devices as possible to allow direct comparison with experimental outcomes. Using simple geometric shapes of varying potential heights, simple devices are readily accessible: quantum wires; quantum transistors; resonant cavities; and coupled quantum wires. Such devices will form the building blocks of future complex devices and thus need to be fully understood. Results obtained studying the connection of a quantum wire with its surroundings demonstrate non-intuitive behaviour and the importance of device geometry to electrical characteristics. The application of magnetic fields to various nano-devices produced a range of interesting phenomenon with promising novel applications. The magnetic field can be used to alter the phase of the electron, modifying the interaction between the electronic potential and the transport electrons. This thesis studies in detail the Aharonov-Bohm oscillation and impurity characterisation in quantum wires. By studying various devices considerable information can be added to the knowledge base of nano-electronic devices and provide a basis to further research. The computational algorithms developed in this thesis are highly accurate, numerically efficient and unconditionally stable, which can also be used to study many other physical phenomena in the quantum world. As an example, the computational algorithms were applied to positron-hydrogen scattering with the results indicating positronium formation.
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Foerster, Alexander [Verfasser]. "Theory of semiconductor quantum-dot microcavity lasers : computational modeling and significance for experimental realization / Alexander Foerster." Magdeburg : Universitätsbibliothek, 2017. http://d-nb.info/1145018106/34.

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Santos, Samantha Fonseca dos. "Theoretical and computational studies of dissociative recombination of H₃⁺ with low kinetic energy electrons time-independent and time-dependent approach /." Orlando, Fla. : University of Central Florida, 2009. http://purl.fcla.edu/fcla/etd/CFE0002668.

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Dinescu, Adriana. "Metals in Chemistry and Biology: Computational Chemistry Studies." Thesis, University of North Texas, 2007. https://digital.library.unt.edu/ark:/67531/metadc3678/.

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Numerous enzymatic reactions are controlled by the chemistry of metallic ions. This dissertation investigates the electronic properties of three transition metal (copper, chromium, and nickel) complexes and describes modeling studies performed on glutathione synthetase. (1) Copper nitrene complexes were computationally characterized, as these complexes have yet to be experimentally isolated. (2) Multireference calculations were carried out on a symmetric C2v chromium dimer derived from the crystal structure of the [(tBu3SiO)Cr(µ-OSitBu3)]2 complex. (3) The T-shaped geometry of a three-coordinate β-diketiminate nickel(I) complex with a CO ligand was compared and contrasted with isoelectronic and isosteric copper(II) complexes. (4) Glutathione synthetase (GS), an enzyme that belongs to the ATP-grasp superfamily, catalyzes the (Mg, ATP)-dependent biosynthesis of glutathione (GSH) from γ-glutamylcysteine and glycine. The free and reactant forms of human GS (wild-type and glycine mutants) were modeled computationally by employing molecular dynamics simulations, as these currently have not been structurally characterized.
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Wang, Jiaqi. "The Impact of Computational Methods on Transition Metal-containing Species." Thesis, University of North Texas, 2015. https://digital.library.unt.edu/ark:/67531/metadc822795/.

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Quantum chemistry methodologies can be used to address a wide variety of chemical problems. Key to the success of quantum chemistry methodologies, however, is the selection of suitable methodologies for specific problems of interest, which often requires significant assessment. To gauge a number of methodologies, the utility of density functionals (BLYP, B97D, TPSS, M06L, PBE0, B3LYP, M06, and TPSSh) in predicting reaction energetics was examined for model studies of C-O bond activation of methoxyethane and methanol. These species provide excellent representative examples of lignin degradation via C-O bond cleavage. PBE0, which performed better than other considered DFT functionals, was used to investigate late 3d (Fe, Co, and Ni), 4d (Ru, Rh, and Pd), and 5d (Re, Os, and Ir) transition metal atom mediated Cβ -O bond activation of the β–O–4 linkage of lignin. Additionally, the impact of the choice of DFT functionals, basis sets, implicit solvation models, and layered quantum chemical methods (i.e., ONIOM, Our Own N-layered Integrated molecular Orbital and molecular Mechanics) was investigated for the prediction of pKa for a set of Ni-group metal hydrides (M = Ni, Pd, and Pt) in acetonitrile. These investigations have provided insight about the utility of a number of theoretical methods in the computation of thermodynamic properties of transition metal hydrides in solution. As single reference wavefunction methods commonly perform poorly in describing molecular systems that involve bond-breaking and forming or electronic near-degeneracies and are typically best described with computationally costly multireference wavefunction-based methods, it is imperative to a priori analyze the multireference character for molecular systems so that the proper methodology choice is applied. In this work, diagnostic criteria for assessing the multireference character of 4d transition metal-containing molecules was investigated. Four diagnostics were considered in this work, including the weight of the leading configuration of the CASSCF wavefunction, C02; T1, the Frobenius norm of the coupled cluster amplitude vector related to single excitations and D1, the matrix norm of the coupled cluster amplitude vector arising from coupled cluster calculations; and the percent total atomization energy, %TAE. This work demonstrated the need to have different diagnostic criteria for 4d molecules than for main group molecules.
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Acheampong, Edward. "Computational Quantum Chemistry Studies of the Interactions of Amino Acids Side Chains with the Guanine Radical Cation." Digital Commons @ East Tennessee State University, 2018. https://dc.etsu.edu/etd/3489.

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Guanine is generally accepted as the most easily oxidized DNA base when cells are subjected to ionizing radiation, photoionization or photosensitization. At pH 7, the midpoint reduction potential is on the order of 0.2 – 0.3 V higher than those of the radicals of e.g. tyrosine, tryptophan cysteine and histidine, so that the radical “repair” (or at least, a thermodynamically favorable reaction) involving these amino acids is feasible. Computational quantum studies have been done on tyrosine, tryptophan, cysteine and histidine side chains as they appear in histones. Density functional theory was employed using B3LYP/6-31G+ (d, p) basis set to study spin densities on these amino acids side chains as they pair with the guanine radical cation. The amino acid side chains are positioned so as not to disrupt the Watson-Crick base pairing. Our results indicate that, these side chains of amino acid with reducing properties can repair guanine radical cation through electron transfer coupled with proton transfer.
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Ringer, Ashley L. "From small to big." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/28089.

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Thesis (M. S.)--Chemistry and Biochemistry, Georgia Institute of Technology, 2009.
Committee Chair: Sherrill, C. David; Committee Member: Bredas, Jean-Luc; Committee Member: El-Sayed, Mostafa A.; Committee Member: Harvey, Stephen C; Committee Member: Hernandez, Rigoberto.
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Romero, Rivera Adrian. "Computational studies of enzymatic and biomimetic catalysts." Doctoral thesis, Universitat de Girona, 2018. http://hdl.handle.net/10803/666175.

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Enzymes are the most efficient biocatalysts in Nature. However, biocatalysts in general are not capable of catalyzing reactions for industrial purposes. Hence, biocatalysts need to be engineered by introducing mutations in the active site or at distal positions in the enzyme, thereby inducing changes in the conformational dynamics of enzymes. In this thesis an analysis of conformational dynamics of several enzymes has been developed by using computational tools for understanding how their conformational dynamics affect the enzyme function. Biomimetic chemistry seeks to design novel efficient metal-based organocatalysts mimicking the structure-function from the enzyme’s active site. In this thesis detailed mechanism pathways for EUK-8 salen ligand have been proposed through computational tools. 57Fe Mössbauer spectroscopy is a technique that provides information about the chemical nature of Iron systems, regardless of its spin and oxidation states. Since the Mössbauer spectra is not always straightforward to analyze, this new computational analysis performed will support experimental Mössbauer data for helping to characterize Fe-based systems.
Els enzims són els catalitzadors més eficients que existeixen a la Natura. No obstant, en general no són capaços de catalitzar reaccions importants per a propòsits industrials. Per tant, calen ser modificats introduint mutacions en el centre actiu o en posicions llunyanes, alterant així la seva dinàmica conformacional. En aquesta tesi s'ha realitzat un anàlisi centrat en la dinàmica conformacional de diferents enzims fent servir eines computacionals. La química biomimètica cerca dissenyar nous organocatalitzadors eficients imitant la funció estructural del centre actiu de l’enzim. En aquesta tesi es presenta el mecanisme detallat pel lligand EUK-8 salen per tal de poder-ne millorar la seva activitat catalasa. L’espectroscòpia Mössbauer de 57Fe és una tècnica que proporciona informació sobre la naturalesa química dels sistemes de Ferro, respecte els estat d’espín i d’oxidació. Com que els espectres de Mössbauer no sempre són fàcils d’analitzar, el nou mètode desenvolupat ajudarà a analitzar les dades experimentals de Mössbauer i també a caracteritzar les diferents espècies de Fe.
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Odell, Anders. "Quantum transport and geometric integration for molecular systems." Doctoral thesis, KTH, Tillämpad materialfysik, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-26780.

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Molecular electronics is envisioned as a possible next step in device miniaturization. It is usually taken to mean the design and manufacturing of electronic devices and applications where organic molecules work as the fundamental functioning unit. It involves the measurement and manipulation of electronic response and transport in molecules attached to conducting leads. Organic molecules have the advantages over conventional solid state electronics of inherent small sizes, endless chemical diversity and ambient temperature low cost manufacturing. In this thesis we investigate the switching and conducting properties of photoswitching dithienylethene derivatives. Such molecules change their conformation in solution when acted upon by light. Photochromic molecules are attractive candidates for use in molecular electronics because of the switching between different states with different conducting properties. The possibility of optically controlling the conductance of the molecule attached to conducting leads may lead to new device implementations. The switching reaction is investigated with potential energy calculations for different values of the reaction coordinate between the closed and the open isomer. The electronic and atomic structure calculations are performed with Density Functional Theory (DFT). The potential energy barrier separating the open and closed isomer is investigated, as well as the nature of the excited states involved in the switching. The conducting properties of the molecule inserted between gold, silver and nickel leads is calculated within the Non Equilibrium Green Function theory (NEGF). The molecule is found to be a good conductor in both conformations, with the low-bias current for the closed one being about 20 times larger than that of the open in the case of gold contacts, and over 30 times larger in the case of silver contacts. For the Ni leads the current for the closed isomer is almost 40 times larger than that of the open. Importantly, the current-voltage characteristics away from the linear response is largely determined by molecular orbital re-hybridization in an electric field, in close analogy to what happens for Mn12 molecules. However in the case of dithienylethene attached to Au and Ag such a mechanism is effective also in conditions of strong electronic coupling to the electrodes. In reality these molecules are in constant motion, and the dynamical properties has to be considered. In this thesis such a line of work is initiated. In order to facilitate efficient and stable dynamical simulations of molecular systems the extended Lagrangian formulation of Born-Oppenheimer molecular dynamics have been implemented in two different codes. The extended Lagrangian framework enables the geometric integration of both the nuclear and electronic degrees of freedom. This provides highly efficient simulations that are stable and energy conserving even under incomplete and approximate self-consistent field (SCF) convergence. In the density functional theory code FreeON, different symplectic integrators up to the 6th order have been adapted and optimized. It is shown how the accuracy can be significantly improved compared to a conventional Verlet integration at the same level of computational cost, in particular for the case of very high accuracy requirements. Geometric integration schemes, including a weak dissipation to remove numerical noise, are developed and implemented in the self-consistent tight-binding code LATTE. We find that the inclusion of dissipation in the symplectic integration methods gives an efficient damping of numerical noise or perturbations that otherwise may accumulate from finite arithmetics in a perfect reversible dynamics. The modification of the integration breakes symplecticity and introduces a global energy drift. The systematic driftin energy and the broken symplecticity can be kept arbitrarily small without significant perturbations of the molecular trajectories.
QC 20101202
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Tekin, Emine Deniz. "Investigation Of Biologically Important Small Molecules: Quantum Chemical And Molecular Dynamics Calculations." Phd thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612343/index.pdf.

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In this thesis, six small molecules (S-allylcysteine, S-allyl mercaptocysteine, allicin, methyl propyl disulfide, allyl methyl sulfide and dipropylsulfide) that are found in garlic and onion, and are known to be beneficial for human health were studied using molecular mechanics, semi-empirical methods, ab-initio (Restricted Hartree Fock), and density functional theory. Using the same methods, a synthetic pyrethroid pesticide molecule, called cyfluthrin, was also studied. Structural, vibrational and electronic properties of these molecules were found. These theoretical studies could clarify the role of these molecules on human health before they are commercially developed and used. In addition, unfolding dynamics of small peptide sequences (DDATKTFT and its variants) in immunoglobulin G-binding protein G was investigated. Protein folding and unfolding is one of the most important unsolved problems in molecular biology. Because of the large number of atoms involved in protein folding, it is a massive computational problem. The hope is that, one could understand this mechanism with the help of molecular dynamics simulation on small peptides. One of our findings is that the location of the hydrogen bonds is important for the stability of the peptide.
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Books on the topic "Computational quantum theory"

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Yan, Song Y. Quantum Computational Number Theory. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-25823-2.

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1958-, Shen A., and Vyalyi M. N. 1961-, eds. Classical and quantum computation. Providence, R.I: American Mathematical Society, 2002.

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Kitaev, A. Yu. Classical and quantum computation. Providence, R.I: American Mathematical Society, 2002.

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1958-, Shen A., and Vyalyi M. N. 1961-, eds. Classical and quantum computation. Providence, R.I: American Mathematical Society, 2002.

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Simkin, B. I͡A. Quantum chemical and statistical theory of solutions: A computational approach. Edited by Sheĭkhet I. I. London: Ellis Horwood, 1995.

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Hsu, Jang-Yu. Nanocomputing: Computational physics for nanoscience and nanotechnology. Singapore: Pan Stanford Publishing, 2009.

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Nanocomputing: Computational physics for nanoscience and nanotechnology. Singapore: Pan Stanford Publishing, 2009.

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Lam, Lui. Wave Phenomena: Theoretical, Computational, and Practical Aspects. New York, NY: Springer New York, 1989.

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Xu, Xiaoping. Introduction to Vertex Operator Superalgebras and Their Modules. Dordrecht: Springer Netherlands, 1998.

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Computational chemistry: Introduction to the theory and applications of molecular and quantum mechanics. Boston: Kluwer Academic, 2003.

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Book chapters on the topic "Computational quantum theory"

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Onishi, Taku. "Quantum Theory." In Quantum Computational Chemistry, 3–11. Singapore: Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-5933-9_1.

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Prasad, Ram Yatan, and Pranita. "Quantum Theory." In Computational Quantum Chemistry, 1–29. 2nd ed. Second edition. | Boca Raton : CRC Press, 2021.: CRC Press, 2021. http://dx.doi.org/10.1201/9781003133605-1.

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Raz, Ran. "Quantum computation." In Computational Complexity Theory, 127–55. Providence, Rhode Island: American Mathematical Society, 2004. http://dx.doi.org/10.1090/pcms/010/05.

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Dalla Chiara, M., R. Giuntini, and R. Greechie. "Quantum computational logic." In Reasoning in Quantum Theory, 249–66. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-94-017-0526-4_17.

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Prasad, Ram Yatan, and Pranita. "Density Functional Theory." In Computational Quantum Chemistry, 647–64. 2nd ed. Second edition. | Boca Raton : CRC Press, 2021.: CRC Press, 2021. http://dx.doi.org/10.1201/9781003133605-14.

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Prasad, Ram Yatan, and Pranita. "Hückel Molecular Orbital Theory/Method." In Computational Quantum Chemistry, 563–645. 2nd ed. Second edition. | Boca Raton : CRC Press, 2021.: CRC Press, 2021. http://dx.doi.org/10.1201/9781003133605-13.

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Yan, Song Y. "Miscellaneous Quantum Algorithms." In Quantum Computational Number Theory, 229–45. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-25823-2_6.

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Yan, Song Y. "Classical and Quantum Computation." In Quantum Computational Number Theory, 33–58. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-25823-2_2.

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Wolff, Ulli. "Numerical Simulation in Quantum Field Theory." In Computational Physics, 245–57. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-85238-1_14.

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Frensley, William R. "Quantum Kinetic Theory of Tunneling Devices." In Computational Electronics, 195–200. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4757-2124-9_39.

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Conference papers on the topic "Computational quantum theory"

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Trayanov, A., and B. Müller. "Real-time evolution in lattice gauge theory." In Computational quantum physics. AIP, 1992. http://dx.doi.org/10.1063/1.42606.

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Geiger, Klaus, and Berndt Müller. "Quark-gluon transport theory: A Monte-Carlo simulation." In Computational quantum physics. AIP, 1992. http://dx.doi.org/10.1063/1.42601.

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Braaten, Eric. "Renormalization group approach to thermal quantum field theory." In Computational quantum physics. AIP, 1992. http://dx.doi.org/10.1063/1.42603.

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Rudolph, Terry. "Percolation Theory, Optical Quantum Computing, and Computational Phases of Matter." In International Conference on Quantum Information. Washington, D.C.: OSA, 2008. http://dx.doi.org/10.1364/icqi.2008.qmb3.

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Lokajíček, Miloš V., B. G. Sidharth, F. Honsell, O. Mansutti, K. Sreenivasan, and A. De Angelis. "Hidden-Variable Theory versus Copenhagen Quantum Mechanics." In FRONTIERS OF FUNDAMENTAL AND COMPUTATIONAL PHYSICS: 9th International Symposium. AIP, 2008. http://dx.doi.org/10.1063/1.2947705.

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Porter, Richard N., Dong-Qing Wei, and Xi-Jun Wang. "The Quantum Field Theory of the Ensemble Operator." In THEORY AND APPLICATIONS OF COMPUTATIONAL CHEMISTRY—2008. AIP, 2009. http://dx.doi.org/10.1063/1.3108378.

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D’Ariano, Giacomo Mauro, and Andrei Yu Khrennikov. "On the “principle of the quantumness,” the quantumness of Relativity, and the computational grand-unification." In QUANTUM THEORY: Reconsideration of Foundations—5. AIP, 2010. http://dx.doi.org/10.1063/1.3431515.

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Chandrasekharan, Shailesh. "A New Computational Approach to Lattice Quantum Field Theories." In The XXVI International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2009. http://dx.doi.org/10.22323/1.066.0003.

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Hu, Jun, and Chun Guan. "Granular Computing Model Based on Quantum Computing Theory." In 2014 Tenth International Conference on Computational Intelligence and Security (CIS). IEEE, 2014. http://dx.doi.org/10.1109/cis.2014.55.

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Chen, Chunlin, Daoyi Dong, Yu Dong, and Qiong Shi. "A Quantum Reinforcement Learning Method for Repeated Game Theory." In 2006 International Conference on Computational Intelligence and Security. IEEE, 2006. http://dx.doi.org/10.1109/iccias.2006.294092.

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Reports on the topic "Computational quantum theory"

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Gardner, Carl L. The Quantum Hydrodynamic Model for Semiconductor Devices: Theory and Computations. Fort Belvoir, VA: Defense Technical Information Center, August 1998. http://dx.doi.org/10.21236/ada358049.

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Taiber, Joachim. Unsettled Topics Concerning the Impact of Quantum Technologies on Automotive Cybersecurity. SAE International, December 2020. http://dx.doi.org/10.4271/epr2020026.

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Abstract:
Quantum computing is considered the “next big thing” when it comes to solving computational problems impossible to tackle using conventional computers. However, a major concern is that quantum computers could be used to crack current cryptographic schemes designed to withstand traditional cyberattacks. This threat also impacts future automated vehicles as they become embedded in a vehicle-to-everything (V2X) ecosystem. In this scenario, encrypted data is transmitted between a complex network of cloud-based data servers, vehicle-based data servers, and vehicle sensors and controllers. While the vehicle hardware ages, the software enabling V2X interactions will be updated multiple times. It is essential to make the V2X ecosystem quantum-safe through use of “post-quantum cryptography” as well other applicable quantum technologies. This SAE EDGE™ Research Report considers the following three areas to be unsettled questions in the V2X ecosystem: How soon will quantum computing pose a threat to connected and automated vehicle technologies? What steps and measures are needed to make a V2X ecosystem “quantum-safe?” What standardization is needed to ensure that quantum technologies do not pose an unacceptable risk from an automotive cybersecurity perspective?
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