Format results
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De Sitter Space as a Tensor Network
Aidan Chatwin-Davies - University of Rhode Island
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Renormalization of tensor networks using graph independent local truncations
Markus Hauru - The Alan Turing Institute
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Anomalies and entanglement renormalization
Jacob Bridgeman - PsiQuantum Corp.
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Tensor network state correspondence and Holography
Sukhwinder Singh - Austrian Academy of Sciences
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Complexity and Holographic Fluctuations
Wissam Chemissany - Leibniz University Hannover
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Feynman Path Integrals Over Entangled States
Andrew Green - University College London
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Tensor networks for topological quantum matter
Burak Sahinoglu - University of Vienna
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Tensor network renormalization
Glen Evenbly - Georgia Institute of Technology
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De Sitter Space as a Tensor Network
Aidan Chatwin-Davies - University of Rhode Island
Tensor network/spacetime correspondences explore the exciting idea that geometric information about a quantum state might be related to the actual geometry that the state describes in a quantum gravitational setting. I will give an overview of a new type of correspondence between global de Sitter… -
Renormalization of tensor networks using graph independent local truncations
Markus Hauru - The Alan Turing Institute
I will describe our recent work from 1709.07460, where we introduce a new renormalization group algorithm for tensor networks. The algorithm is based on a novel understanding of local correlations in a tensor network, and a simple method to remove such correlations from any network. It performs… -
Anomalies and entanglement renormalization
Jacob Bridgeman - PsiQuantum Corp.
We study 't Hooft anomalies of discrete groups in the framework of (1+1)-dimensional multiscale entanglement renormalization ansatz states on the lattice. Using matrix product operators, general topological restrictions on conformal data are derived. An ansatz class allowing for optimization of MERA… -
Approaching Lattice Gauge Theories with Tensor Networks – From real-time dynamics to overcoming the sign problem - Stefan Kühn
In recent years there has been quite some effort to apply Matrix Product States (MPS) and more general Tensor Networks (TN) to lattice gauge theories. Contrary to the standard Euclidean-time Monte Carlo approach, which faces a major obstacle in the sign problem, numerical methods based on TN are… -
Tensor Network Algorithms for 2D Strongly Correlated Systems
Juan Osorio - ETH Zurich
In this talk I will give a short introduction into Projected Entangled-Pair States (PEPS), and their infinite variant iPEPS, a class of tensor network Ansatz targeted at the simulation of 2D strongly correlated systems. I will present work on two recent projects: the first will be an application of… -
Capturing Topological and Symmetry Protected Physics with Entanglement and Tensor Networks
In order to create ansatz wave functions for models that realize topological or symmetry protected topological phases, it is crucial to understand the entanglement properties of the ground state and how they can be incorporated into the structure of the wave function. In this first part of this talk… -
Tensor network state correspondence and Holography
Sukhwinder Singh - Austrian Academy of Sciences
In recent years, tensor network states have emerged as a very useful conceptual and simulation framework to study local quantum many-body systems at low energies. In this talk, I will describe how a tensor network representation of a quantum many-body ground state also encodes, in a natural way… -
Complexity and Holographic Fluctuations
Wissam Chemissany - Leibniz University Hannover
I discuss, from a quantum information perspective, recent proposals of Maldacena, Ryu, Takayanagi, van Raamsdonk, Swingle, and Susskind that spacetime is an emergent property of the quantum entanglement of an associated boundary quantum system. I review the idea that the informational principle of… -
Feynman Path Integrals Over Entangled States
Andrew Green - University College London
Entanglement is fundamental to quantum mechanics. It is central to the EPR paradox and Bell’s inequality. Tensor network states constructed with explicit entanglement structures have provided powerful new insights into many body quantum mechanics. In contrast, the saddle points of conventional… -
Persistent currents in atomtronic circuits: a continuous matrix product state approach
Damian Draxler - University of Vienna
In the rst part of this talk I will give a brief introduction to the variational class of continuous matrix product states (cMPS). Then I will present a time evolution algorithm for cMPS with periodic boundary conditions. In the second part, I will explain how to apply this method to simulate… -
Tensor networks for topological quantum matter
Burak Sahinoglu - University of Vienna
In this talk, I present a new framework for topologically ordered gapped ground states in 2+1 spacetime dimensions (which generalizes to higher dimensions) using tensor networks. We will see that topological order can exist in tensor network states (TNS), if the local tensor satisfies certain axioms… -
Tensor network renormalization
Glen Evenbly - Georgia Institute of Technology
I will describe how to define a proper RG flow in the space of tensor networks, with applications to the evaluation of classical partition functions, euclidean path integrals, and overlaps of tensor network states.