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Concatenated codes, matrix-product codes and their schur product [PDF]

open access: yes, 2021
The aim of thesis is two-fold. Firstly, we introduce concatenated codes, matrixproduct codes and elaborate on their relation. It is known that a matrix-product code can be seen as a concatenated code. We give a proof of this fact. Conversely, we show how
Ulutaş, Tuğçe
core  

Integrable Matrix Product States from boundary integrability

open access: yesSciPost Physics, 2019
We consider integrable Matrix Product States (MPS) in integrable spin chains and show that they correspond to "operator valued" solutions of the so-called twisted Boundary Yang-Baxter (or reflection) equation. We argue that the integrability condition
Balázs Pozsgay, Lorenzo Piroli, Eric Vernier
doaj   +1 more source

Quantum Heat Statistics with Time-Evolving Matrix Product Operators

open access: yesPRX Quantum, 2021
We present a numerically exact method to compute the full counting statistics of heat transfer in non-Markovian open quantum systems, which is based on the time-evolving matrix product operator algorithm. This approach is applied to the paradigmatic spin-
Maria Popovic   +5 more
doaj   +1 more source

Spatiotemporal and quantitative analyses of phosphoinositides – fluorescent probe—and mass spectrometry‐based approaches

open access: yesFEBS Letters, EarlyView.
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho   +3 more
wiley   +1 more source

Explainable natural language processing with matrix product states

open access: yesNew Journal of Physics, 2022
Despite empirical successes of recurrent neural networks (RNNs) in natural language processing (NLP), theoretical understanding of RNNs is still limited due to intrinsically complex non-linear computations.
Jirawat Tangpanitanon   +5 more
doaj   +1 more source

Structural instability impairs function of the UDP‐xylose synthase 1 Ile181Asn variant associated with short‐stature genetic syndrome in humans

open access: yesFEBS Letters, EarlyView.
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li   +2 more
wiley   +1 more source

Unsupervised Generative Modeling Using Matrix Product States

open access: yesPhysical Review X, 2018
Generative modeling, which learns joint probability distribution from data and generates samples according to it, is an important task in machine learning and artificial intelligence.
Zhao-Yu Han   +4 more
doaj   +1 more source

Matrix product approximations to conformal field theories

open access: yesNuclear Physics B, 2017
We establish rigorous error bounds for approximating correlation functions of conformal field theories (CFTs) by certain finite-dimensional tensor networks. For chiral CFTs, the approximation takes the form of a matrix product state.
Robert König, Volkher B. Scholz
doaj   +1 more source

Tangent-space methods for truncating uniform MPS

open access: yesSciPost Physics Core, 2021
A central primitive in quantum tensor network simulations is the problem of approximating a matrix product state with one of a lower bond dimension.
Bram Vanhecke, Maarten Van Damme, Jutho Haegeman, Laurens Vanderstraeten, Frank Verstraete
doaj   +1 more source

Tau acetylation at K331 has limited impact on tau pathology in vivo

open access: yesFEBS Letters, EarlyView.
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto   +3 more
wiley   +1 more source

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