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Main Title: Tensor product methods and entanglement optimization for ab initio quantum chemistry
Author(s): Szalay, Szilárd
Pfeffer, Max
Barcza, Gergely
Murg, Valentin
Verstraete, Frank
Schneider, Reinhold
Legeza, Örs
Type: Research Paper
Abstract: The treatment of high-dimensional problems such as the Schrödinger equation can be approached by concepts of tensor product approximation. We present general techniques that can be used for the treatment of high-dimensional optimization tasks and time-dependent equations, and connect them to concepts already used in many-body quantum physics. Based on achievements from the past decade, it is a common belief that entanglement-based methods - developed from different perspectives for different purposes in distinct communities already matured to provide a variety of tools - can be combined to attack highly challenging problems in quantum chemistry. The aim of the present paper is to give a pedagogical introduction to the theoretical background of this novel field and demonstrate the underlying benefits through numerical applications on a text book example. Among the various optimization tasks we will discuss only those which are connected to a controlled manipulation of the entanglement which is in fact the key ingredient of the methods considered in the paper. The selected topics will be covered according to lectures given on the topic "New wavefunction methods and entanglement optimizations in quantum chemistry" at the Workshop on Theoretical Chemistry, 18 - 21 February 2014, Mariapfarr, Austria.
Subject(s): tensor networks
tensor product approximation
quantum infromation
Issue Date: 10-Dec-2014
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 15A69 Multilinear algebra, tensor products
81-08 Computational methods
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2014, 38
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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