RTNI—A symbolic integrator for Haar-random tensor networks

DOI10.1088/1751-8121/ab434bOpenAlexW3105452413MaRDI QIDQ5872694

Ion Nechita, Robert Koenig, Motohisa Fukuda

Publication date: 4 January 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.08539

zbMATH Keywords

symbolic integrationrandom tensorstensor networksWeingarten calculusrandom unitary matrices

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (5)

Quantum and classical dynamical semigroups of superchannels and semicausal channels ⋮ A graphical calculus for integration over random diagonal unitary matrices ⋮ Typical entanglement for Gaussian states ⋮ RTNI ⋮ Generating random quantum channels

Uses Software

• Mathematica
• Python
• IntHaar

Cites Work

• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• Characteristic vectors of bordered matrices with infinite dimensions
• Aspects of generic entanglement
• Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
• Random quantum channels. I: Graphical calculus and the Bell state phenomenon
• Holographic duality from random tensor networks
• Randomizing quantum states: constructions and applications
• Matrix product states, random matrix theory and the principle of maximum entropy
• Counterexamples to the maximal \(p\)-norm multiplicativity conjecture for all \(p>1\)
• Counterexamples to additivity of minimum output \(p\)-Rényi entropy for \(p\) close to 0
• The computational complexity of rules for the character table of \(S_n\).
• Random matrix techniques in quantum information theory
• A Decoupling Approach to the Quantum Capacity
• Random Quantum Codes from Gaussian Ensembles and an Uncertainty Relation
• Asymptotic behavior of group integrals in the limit of infinite rank
• Optimal cloning of pure states, testing single clones
• Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
• On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
• On the Representations of the Symmetric Group
• Some remarks on the theory of graphs

This page was built for publication: RTNI—A symbolic integrator for Haar-random tensor networks