Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 23 for “"Tensor networks"”.
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TENSOR NETWORKS FOR OPEN QUANTUM SYSTEMS
… or outright impossible even at modest sizes. Tensor networks provide a powerful mathematical tool to address this issue: by efficiently representing only a low-entanglement subspace of the full space of states, they mitigate the exponential scaling and enable faster computations. Their …
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Many-body localization and tensor networks
… and the development of algorithms using the tensor networks representation for many-body localized systems. Chapter 1 is a detailed discussion on the MBL phenomenon. Chapter 2 gives an introduction to the numerical techniques that are frequently used in studying many-body quantum systems. …
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On canonical purification of random tensor networks
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-03-01 without embargo terms
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Many-body entanglement : topological orders, tensor networks and superconductivity
… To go around this problem, we introduce a new tensor-network method that works on any generic wave function, and obtain the "environment matrix" as a less powerful "order parameter" description. The "environment matrix" can characterize topological orders described by any gauge theory as well …
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Algebraic geometry for tensor networks, matrix multiplication, and flag matroids
… the first part, we study several applications of tensors. First, we study tensor networks, and more specifically: uniform matrix product states. We use methods from nonlinear algebra and algebraic geometry to answer questions about topology, defining equations, and identifiability of uniform …
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Integrating classical and quantum algorithms with machine learning and tensor networks
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-02-04 without embargo terms
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Towards efficient algorithms and systems for tensor decompositions and tensor networks
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-03-01 without embargo terms
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Algebro-geometric algorithms for program synthesis, tensor networks, and conditional independence models
… Algoritmen in Programmasynthese, Tensornetwerken, en Conditionele Onafhankelijkheidsmodellen. In Programmasynthese draagt het onderzoek bij aan template-gebaseerde synthese voor polynomiale imperatieve programma's, bewijst beslisbaarheid, ontwikkelt een praktisch algoritme, toont …
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Implementing a Lattice Formulation of the Schwinger Modelwith Periodic Boundary Conditions Using Tensor Networks
I attempt to develop a simple tensor network formulation of the Schwinger model with periodic boundary conditions. The primary challenge is to enforce the local constraints imposed by Gauss's Law. I do this by combining global conservation of a specially defined quantum number with the local …
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Topological materials and quantum entanglement
… in one dimension naturally involves the use of tensor networks, which will be reviewed and then utilized.
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RECOVERY AND RECONSTRUCTION IN QUANTUM SYSTEMS
… is applying quantum error correction codes on tensor networks on hyperbolicplanes. This kind of model is proposed to be toy models of the AdS/CFT duality, thus also dubbed holographic tensor networks. In the case when the network consists of a single type of tensor that also acts as an erasure …
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Semantic Image Interpretation - Integration of Numerical Data and Logical Knowledge for Cognitive Vision
… The second method uses the framework Logic Tensor Networks to build the labelled direct graph of an image. This framework is able to learn from data in presence of the logical constraints of the knowledge base. Therefore, the graph construction is performed by predicting the labels of the …
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Characterizing and measuring properties of continuous-variable quantum states
… well developed theory of matrix product states, tensor networks, semi-definite programming, and matrix analysis.
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On exciton-vibration and exciton-photon interactions in organic semiconductors
… a beyond Born-Oppenheimer method based on tensor networks to study real-time exciton dynamics. By using these methods, we show how selective excitation of vibrational modes can enhance charge transfer. Moreover, through rigorous comparison to experiments, we highlight that tensor network …
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Hadronic Structure with Classical and Quantum Computing
… — realized with quantum-computer simulations and tensor networks — may be combined with conventional Monte Carlo calculations based on Lagrangian formulations in Euclidean space. These studies examine how constructions of interpolating operators, used in conventional calculations to map between …
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Dynamical aspects of quantum information and classical simulability
… and simulability (either by stabiliser or tensor networks methods). Notably, we unveil robust dynamical phases which are low in magic—and thus efficiently classically simulable—despite being highly entangled. We then consider, in a classically simulable (free-fermionic) setup, a deep form …
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Open quantum system theory from an information perspective
… numerical realizations of high-dimensional tensor networks and, based on the most recent theoretical developments, machine learning implementations in the form of artificial neural networks. We explore all of these techniques with respect to their compression efficiency, performance and …
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Breaking the curse of dimensionality in electronic structure methods: towards optimal utilization of the canonical polyadic decomposition
Despite the fact that higher-order tensors (HOTs) plague electronic structure methods and severely limits the modeling of interesting chemistry problems, introduction and application of higher-order tensor (HOT) decompositions, specifically the canonical polyadic (CP) decomposition, is fairly …
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Inverse methods in quantum many-body physics
… techniques for performing calculations with tensor networks, a class of quantum states defined through the contraction of many tensors. Finally, in addition to the state-based methods we just described, we also introduce operator-based methods that we be essential for our inverse approach and …
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