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Differentiable programming tensor networks
Differentiable programming is a fresh programming paradigm which composes
parameterized algorithmic components and optimizes them using gradient search. The …
parameterized algorithmic components and optimizes them using gradient search. The …
Time evolution of complexity: a critique of three methods
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 …
approaches for computing complexity. Our test does not require a direct comparison …
Renormalization group flow as optimal transport
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 …
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 …
coupled quantum field theories based on purely field-theoretic technics without introducing …
On the flow of states under
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 …
Hamiltonian point of view, focusing on aspects of the theory in Lorentzian signature. Our …
Building tensor networks for holographic states
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 …
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 …
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
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 …
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 …
network algorithm. We introduce a singular value decomposition of continuous matrices that …
Characterizing the quantum field theory vacuum using temporal matrix product states
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 …
vacuum of the field theory corresponding to the continuous limit of an Ising model. We do …