swMATH ID: 28081
Software Authors: Motohisa Fukuda, Robert Koenig, Ion Nechita
Description: RTNI - A symbolic integrator for Haar-random tensor networks. We provide a computer algebra package called Random Tensor Network Integrator (RTNI). It allows to compute averages of tensor networks containing multiple Haar-distributed random unitary matrices and deterministic symbolic tensors. Such tensor networks are represented as multigraphs, with vertices corresponding to tensors or random unitaries and edges corresponding to tensor contractions. Input and output spaces of random unitaries may be subdivided into arbitrary tensor factors, with dimensions treated symbolically. The algorithm implements the graphical Weingarten calculus and produces a weighted sum of tensor networks representing the average over the unitary group. We illustrate the use of this algorithmic tool on some examples from quantum information theory, including entropy calculations for random tensor network states as considered in toy models for holographic duality. Mathematica and Python implementations are supplied.
Homepage: https://arxiv.org/abs/1902.08539
Source Code:  https://github.com/MotohisaFukuda/RTNI
Dependencies: Mathematica; Python
Keywords: Quantum Physics; arXiv_quant-ph; arXiv_hep-th; arXiv_math-ph; arXiv_math.PR; tensor network; Mathematica; Python; Haar-random
Related Software: Python; Mathematica; QuantumInformation.jl; OEIS; IntHaar
Cited in: 4 Documents

Standard Articles

2 Publications describing the Software, including 1 Publication in zbMATH Year
RTNI – a symbolic integrator for Haar-random tensor networks. Zbl 1509.68341
Fukuda, Motohisa; König, Robert; Nechita, Ion
RTNI - A symbolic integrator for Haar-random tensor networks
Motohisa Fukuda, Robert Koenig, Ion Nechita

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