Tensor Networks

Exploring the intersection of linear algebra, quantum mechanics, and machine learning.

Fundamentals of Tensor Networks

High-Dimensional Data

Tensor networks provide efficient representations for multi-dimensional arrays, essential for quantum states and complex datasets.

Factorization Techniques

Techniques like TT decomposition simplify large tensors by breaking them into interconnected smaller components.

Real-World Applications

Tensor networks are revolutionizing fields from physics to machine learning.

Quantum Physics

Efficiently simulating quantum many-body systems using matrix product states and other tensor network formalisms.

Machine Learning

Tensor network architectures enhance deep learning capabilities while maintaining computational efficiency.

Scientific Computing

Tensor decompositions accelerate complex computations in physics simulations and data analysis.

Research Initiatives

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Tensor Network Optimization Algorithms

Developing novel contraction algorithms that drastically improve efficiency for large-scale tensor computations in quantum field simulations.

Collaboration with TUM & MIT

Machine Learning Applications

Exploring tensor networks as a universal approximation method for neural networks with significantly reduced parameter counts.

Funded by EU Quantum Flagship

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Join our tensor network research community to explore the frontiers of quantum computing and machine learning.

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