Differentiable programming tensor networks

HJ Liao, JG Liu, L Wang, T **ang - Physical Review X, 2019 - APS
Differentiable programming is a fresh programming paradigm which composes
parameterized algorithmic components and optimizes them using gradient search. The …

Time evolution of complexity: a critique of three methods

T Ali, A Bhattacharyya, SS Haque, EH Kim… - Journal of High Energy …, 2019 - Springer
A bstract In this work, we propose a testing procedure to distinguish between the different
approaches for computing complexity. Our test does not require a direct comparison …

Renormalization group flow as optimal transport

J Cotler, S Rezchikov - Physical Review D, 2023 - APS
We establish that Polchinski's equation for exact renormalization group (RG) flow is
equivalent to the optimal transport gradient flow of a field-theoretic relative entropy. This …

Quantum simulation of quantum field theories as quantum chemistry

J Liu, Y **n - Journal of High Energy Physics, 2020 - Springer
A bstract Conformal truncation is a powerful numerical method for solving generic strongly-
coupled quantum field theories based on purely field-theoretic technics without introducing …

On the flow of states under

J Kruthoff, O Parrikar - SciPost Physics, 2020 - scipost.org
We study the $ T\overline {T} $ deformation of two dimensional quantum field theories from a
Hamiltonian point of view, focusing on aspects of the theory in Lorentzian signature. Our …

Building tensor networks for holographic states

P Caputa, J Kruthoff, O Parrikar - Journal of High Energy Physics, 2021 - Springer
A bstract We discuss a one-parameter family of states in two-dimensional holographic
conformal field theories which are constructed via the Euclidean path integral of an effective …

Renormalization of group field theories for quantum gravity: new computations and some suggestions

M Finocchiaro, D Oriti - Frontiers in Physics, 2021 - frontiersin.org
We discuss motivation and goals of renormalization analyses of group field theory models of
simplicial 4d quantum gravity, and review briefly the status of this research area. We present …

A Lindbladian for exact renormalization of density operators in QFT

S Goldman, N Lashkari, RG Leigh - arxiv preprint arxiv:2410.16582, 2024 - arxiv.org
In arxiv: 1609.03493, the authors extended the exact renormalization group (ERG) to
arbitrary wave-functionals in quantum field theory (QFT). Applying this formalism, we show …

Tensor renormalization group in bosonic field theory

M Campos, G Sierra, E López - Physical Review B, 2019 - APS
We compute the partition function of a massive free boson in a square lattice using a tensor
network algorithm. We introduce a singular value decomposition of continuous matrices that …

Characterizing the quantum field theory vacuum using temporal matrix product states

E Tirrito, NJ Robinson, M Lewenstein, SJ Ran… - arxiv preprint arxiv …, 2018 - arxiv.org
In this paper we construct the continuous Matrix Product State (MPS) representation of the
vacuum of the field theory corresponding to the continuous limit of an Ising model. We do …