A practical guide to the numerical implementation of tensor networks i: Contractions, decompositions, and gauge freedom
G Evenbly - Frontiers in Applied Mathematics and Statistics, 2022 - frontiersin.org
We present an overview of the key ideas and skills necessary to begin implementing tensor
network methods numerically, which is intended to facilitate the practical application of …
network methods numerically, which is intended to facilitate the practical application of …
Resource Optimization for Quantum Dynamics with Tensor Networks: Quantum and Classical Algorithms
A Dwivedi, MA Lopez-Ruiz… - The Journal of Physical …, 2024 - ACS Publications
The exponential scaling of the quantum degrees of freedom with the size of the system is
one of the biggest challenges in computational chemistry and particularly in quantum …
one of the biggest challenges in computational chemistry and particularly in quantum …
Simulating quantum circuits using efficient tensor network contraction algorithms with subexponential upper bound
TB Wahl, S Strelchuk - Physical Review Letters, 2023 - APS
We derive a rigorous upper bound on the classical computation time of finite-ranged tensor
network contractions in d≥ 2 dimensions. Consequently, we show that quantum circuits of …
network contractions in d≥ 2 dimensions. Consequently, we show that quantum circuits of …
Loop Series Expansions for Tensor Networks
Belief propagation (BP) can be a useful tool to approximately contract a tensor network,
provided that the contributions from any closed loops in the network are sufficiently weak. In …
provided that the contributions from any closed loops in the network are sufficiently weak. In …
A scalable emulator for quantum fourier transform using multiple-fpgas with high-bandwidth-memory
HM Waidyasooriya, H Oshiyama, Y Kurebayashi… - IEEE …, 2022 - ieeexplore.ieee.org
Quantum computing is regarded as the future of computing that hopefully provides
exponentially large processing power compared to the conventional digital computing …
exponentially large processing power compared to the conventional digital computing …
Quantum median filter for total variation image denoising
In this new computing paradigm, named quantum computing, researchers from all over the
world are taking their first steps in designing quantum circuits for image processing, through …
world are taking their first steps in designing quantum circuits for image processing, through …
Q2Logic: A Coarse-Grained FPGA Overlay targeting Schrödinger Quantum Circuit Simulations
A Podobas - 2023 IEEE International Parallel and Distributed …, 2023 - ieeexplore.ieee.org
Quantum computing is emerging as an important (but radical) technology that might take us
beyond Moore's law for certain applications. Today, in parallel with improving quantum …
beyond Moore's law for certain applications. Today, in parallel with improving quantum …
Q2Logic: An Coarse-Grained Architecture targeting Schr\" odinger Quantum Circuit Simulations
A Podobas - arXiv preprint arXiv:2303.01606, 2023 - arxiv.org
Quantum computing is emerging as an important (but radical) technology that might take us
beyond Moore's law for certain applications. Today, in parallel with improving quantum …
beyond Moore's law for certain applications. Today, in parallel with improving quantum …
[PDF][PDF] Graphical calculus for Tensor Network Contractions
S Raj - cs.ox.ac.uk
Quantum computing is an emerging field of research that harnesses the laws of quantum
mechanics to solve computationally hard problems. In addition to developing better and …
mechanics to solve computationally hard problems. In addition to developing better and …