Searched for: subject%3A%22Ising%22
(1 - 20 of 20)
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Zielinski, Sebastian (author), Gabor, Thomas (author), Nüßlein, Jonas (author), Linnhoff-Popien, Claudia (author), Stein, Jonas (author), Feld, S. (author)
To solve 3sat instances on quantum annealers they need to be transformed to an instance of Quadratic Unconstrained Binary Optimization (QUBO). When there are multiple transformations available, the question arises whether different transformations lead to differences in the obtained solution quality. Thus, in this paper we conduct an...
conference paper 2023
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Zielinski, Sebastian (author), Nüßlein, Jonas (author), Stein, Jonas (author), Gabor, Thomas (author), Linnhoff-Popien, Claudia (author), Feld, S. (author)
One way of solving 3sat instances on a quantum computer is to transform the 3sat instances into instances of Quadratic Unconstrained Binary Optimizations (QUBOs), which can be used as an input for the QAOA algorithm on quantum gate systems or as an input for quantum annealers. This mapping is performed by a 3sat-to-QUBO transformation....
journal article 2023
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Delboo, Maxime (author)
This thesis contains a rigorous derivation of the path integral formulation of the Isingmodel with multiple original proofs. Besides that, thesis also contains various resultsof simulations of the 2D square lattice Ising Model with nearest-neighbour interactionsusing the Swendsen-Wang algorithm. Using finite size scaling to find critical...
bachelor thesis 2022
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Nüßlein, Jonas (author), Gabor, Thomas (author), Linnhoff-Popien, Claudia (author), Feld, S. (author)
Quadratic Unconstrained Binary Optimization (QUBO) can be seen as a generic language for optimization problems. QUBOs attract particular attention since they can be solved with quantum hardware, like quantum annealers or quantum gate computers running QAOA. In this paper, we present two novel QUBO formulations for k-SAT and Hamiltonian Cycles...
conference paper 2022
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Fukushima Kimura, B.H. (author)
Physical phenomena commonly observed in nature such as phase transitions, critical phenomena and metastability when studied froma mathematical point of view may give arise to a rich variety of behavior whose study becomes interesting in itself. In Chapter 1 we illustrate the phase transition phenomenon at low temperatures for one-dimensional...
doctoral thesis 2019
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Vree, Pim (author)
Report about how Matrix Product States can be used to analyze a sub set of problems in quantum mechanics. A exact derivation is given of the Ising Model in a Transverse field and with these solutions the TEBD algorithm using Matrix Product states is validated.
bachelor thesis 2019
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van Enter, A.C.D. (author), Fukushima Kimura, B.H. (author), Ruszel, W.M. (author), Spitoni, Cristian (author)
In this note we study metastability phenomena for a class of long-range Ising models in one-dimension. We prove that, under suitable general conditions, the configuration - 1 is the only metastable state and we estimate the mean exit time. Moreover, we illustrate the theory with two examples (exponentially and polynomially decaying...
journal article 2019
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Coquille, Loren (author), van Enter, A.C.D. (author), Le Ny, Arnaud (author), Ruszel, W.M. (author)
We consider the two-dimensional Ising model with long-range pair interactions of the form (Formula presented.) with (Formula presented.), mostly when (Formula presented.). We show that Dobrushin states (i.e. extremal non-translation-invariant Gibbs states selected by mixed ± boundary conditions) do not exist. We discuss possible extensions of...
journal article 2018
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Vtyurina, N. (author)
Each confined cell created by nature and containing DNA molecule falls into the category of “alive organism”. All information about this organism is encoded in DNA molecule in genes, except of fate only. Along with the DNA molecule that represents genetic carrier, the organism neither the genome could function without proteins. Proteins are the...
doctoral thesis 2016
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Vtyurina, N. (author), Dulin, D. (author), Docter, M.W. (author), Meyer, A.S. (author), Dekker, N.H. (author), Abbondanzieri, E. (author)
In all organisms, DNA molecules are tightly compacted into a dynamic 3D nucleoprotein complex. In bacteria, this compaction is governed by the family of nucleoid-associated proteins (NAPs). Under conditions of stress and starvation, an NAP called Dps (DNA binding protein from starved cells) becomes highly up-regulated and can massively...
journal article 2016
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Nienhuis, B. (author), Guo, W. (author), Blöte, H.W.J. (author)
We show that the exactly solved low-temperature branch of the two-dimensional O(n) model is equivalent to an O(n) model with vacancies and a different value of n. We present analytic results for several universal parameters of the latter model, which is identified as a tricritical point. These results apply to the range n ?3/2 and include the...
journal article 2008
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Paredes, R. (author), Vásquez, C. (author)
journal article 2006
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Dekker, C. (author), Arts, A.F.M. (author), De Wijn, H.W. (author), Van Duyneveldt, A.J. (author), Mydosh, J.A. (author)
journal article 1989
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Dekker, C. (author), Arts, A.F.M. (author), De Wijn, H.W. (author)
journal article 1988
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Dekker, C. (author), Arts, A.F.M. (author), De Wijn, H.W. (author)
journal article 1988
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Dekker, C. (author), Arts, A.F.M. (author), De Wijn, H.W. (author), Van Duyneveldt, A.J. (author), Mydosh, J.A. (author)
journal article 1988
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Dekker, C. (author), Arts, A.F.M. (author), De Wijn, H.W. (author)
journal article 1988
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Hoogland, A. (author)
doctoral thesis 1987
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Dikken, B.J. (author), Dekker, C. (author), Arts, A.F.M. (author), De Wijn, H.W. (author)
journal article 1985
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Dekker, C. (author), Dikken, B.J. (author), Arts, A.F.M. (author)
journal article 1985
Searched for: subject%3A%22Ising%22
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