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Tensor Networks: from Quantum Information to High Energy Physics de la Mari Carmen Bañuls.
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The term Tensor Network (TN) States designates a number of ansatzes that can efficiently represent certain states of quantum many-body systems. In particular, they can be used to study numerically ground states and thermal equilibrium of local Hamiltonians, and, to some extent, real time evolution. Quantum information theory explains why they are suitable for physically relevant states, and why there are limitations connected to the simulation algorithms.
While originally introduced in the context of condensed matter physics, where they have become a state-of-the-art technique for strongly correlated one-dimensional systems, in the last years it has been shown that TNS are also suitable to study lattice gauge theories and other quantum field theory problems.
We can say that TN methods constitute quantum inspired algorithms for classical simulations. At the same time, they can be decisive tools to design and verify the near term quantum simulators.
In this talk I will present the fundamental TN ideas and algorithms, and the progress in their application to some quantum field theory problems.
While originally introduced in the context of condensed matter physics, where they have become a state-of-the-art technique for strongly correlated one-dimensional systems, in the last years it has been shown that TNS are also suitable to study lattice gauge theories and other quantum field theory problems.
We can say that TN methods constitute quantum inspired algorithms for classical simulations. At the same time, they can be decisive tools to design and verify the near term quantum simulators.
In this talk I will present the fundamental TN ideas and algorithms, and the progress in their application to some quantum field theory problems.
Tensor Networks and Quantum Circuits for Quantum Computers | Frank Verstraete | BeyondC
Quantum Many-Body Systems and Tensor Networks for Quantum Computation | Norbert Schuch | BeyondC
Tensor Networks: from Quantum Information to High Energy Physics de la Mari Carmen Bañuls.
Tensor networks I
Jacob Biamonte on Tensor Network States --- Lecture 1
Mari-Carmen Banuls: Tensor networks for quantum many-body systems - lecture 1
Tensors and Complexity in Quantum Information Science
Classical Simulation of Quantum Many-body Systems with Tensor Networks
Roman Orus - News on tensor Networks for machine learning and quantum computing simulation
New Directions for Tensor Networks: Machine Learning and Quantum Computing I
Tensor Networks - Lecture 3
Jacob Biamonte on Tensor Network States --- Interview and Series Trailer
Jacob Biamonte/Russia/MIPT: Tensor Networks in Quantum Enhanced Machine Learning
Tensor Networks - Lecture 1
Revisiting the Classics: Turning Old Ideas into New Methods with Tensor Networks - Miles Stoudenmire
Tensor Networks Part 1 - Ignacio Cirac
Norbert Schuch: Matrix product states and tensor networks (II)
Quantum simulations and tensor networks in condensed matter and high energy physics
Stefanos Kourtis | Classical and quantum computation as tensor networks
Simulating many-body physics using quantum tensor networks presented by Michael Foss-Feig, Honeywell
Ignacio Cirac - Efficient preparation of Tensor Network States
Classical and quantum computations as tensor networks - Dr. Stefanos Kourtis
Tutorial on Tensor Networks and Quantum Computing with Miles Stoudenmire
