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 32 for “"Tensor Network"”.
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Algebraic, geometric and numerical methods for Tensor Network Varieties
In this thesis, we study tensor network varieties, which are varieties of tensors described by the combinatorial structure of a given graph and two sets of integer weights, called bond and local dimensions, respectively. Tensor network varieties are geometric objects studied in the field of …
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Tensor network approaches to open quantum systems, higher dimensional lattices and random quantum circuits
This Dissertation was approved for publication on 2024-08-27 at 15:07.
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Tensor network states simulations of exciton-phonon quantum dynamics for applications in artifcial light-harvesting
… wave function. I developed a powerful tree tensor network states (TTNS) method that finds an optimally compressed explicit representation of the combined electronic and vibrational quantum state. With TTNS it is possible to simulate exciton-phonon quantum dynamics from small molecules to …
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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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Entanglement and Chaos in Quantum Field Theory and Gravity
… consist of putting a lattice gauge theory on a tensor network, and we show how such toy models can be made background-independent. Finally we propose a new tensor network toy model for 3D gravity that features a topologically defined area operator, such that the areas on crossing cuts do not …
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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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Numerical analysis for quantum electrodynamics in the ultrastrong coupling regime
… producing Hamiltonians that are more amenable to tensor network algorithms are developed. Furthermore, discrete exterior calculus (DEC) is considered for electromagnetic analysis of quantum devices. The study investigates the satisfaction of the generalized Helmholtz decomposition in DEC …
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CHAOS, holography, and other science
… for a detailed correspondence between the tensor network (or quantum circuit) that builds the holographic state and the interior geometry (or Einstein-Rosen bridge) of the black hole. Ultimately, I try to understand these connections by considering entanglement across time: the entanglement …
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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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The structure of many-body entanglement
… within a unified framework. We discuss tensor network states inspired by entanglement considerations, probe the limits of the boundary law for entanglement entropy, speculate about connections between entanglement renormalization and holography, and develop the formalism of mutual …
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Entanglement, topology, & renormalization
… the ERG framework can be regarded as a continuum tensor network. We contrast this tensor network with some well known tensor network renormalization schemes such as the muti-scale entanglement renormalization ansatz (MERA) and its proposed continuum version (cMERA). We also comment on the nature …
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Nuclear and Chiral transition using the strong coupling expansion of Lattice QCD
… actual QCD, a Vertex Model is developed from the Tensor Network representation of Lattice QCD. This model, which involves significantly more vertices than previous studies, is simulated using a parallelized ergodic algorithm designed for efficient computation on larger lattices at finite gauge …
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Many-body entangled dynamics of closed and open systems for quantum simulators
… We describe the exact diagonalization and tensor network algorithms; both are available in our open source package Open Source Matrix Product States. The algorithms contain a selection of state-of-the-art methods for closed and open quantum system, e.g., matrix product density operators as …
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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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TOWARDS ACCELERATION OF QUANTUM-CLASSICAL ORCHESTRATION
… learning, and mpstab for a hybrid stabilizer-tensor network representation of quantum states. By preserving the familiar interfaces of classical machine learning frameworks, Qiboml enables the design of hybrid architectures and their execution on both simulators and quantum hardware. We also …
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Studies in: entanglement entropy of two dimensional quasi-topological quantum field theory and geometry of the exact renormalization group and higher spin holography
… replica trick and the other is to devise a novel tensor network representation, or more precisely, matrix product state (MPS) representation, of the quantum states of QTFT. We demonstrate that the two calculations are in agreement. Part II: Geometry of the Exact Renormalization Group and Higher …
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Quantum quench dynamics and entanglement
… matrix. In Chap. 5, we construct a random tensor network which consists of random unitary matrices connected locally to model chaotic evolution with local interactions. We find that the entanglement dynamics is mapped to the statistical mechanics of interacting random walks. This appealing …
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