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The computational power increases over the past decades havegreatly enhanced the ability to simulate chemical reactions andunderstand ever more complex transformations. Tensor contractions are the fundamental computational building block of…

Mathematical Software · Computer Science 2022-01-02 Erdal Mutlu , Ruiqin Tian , Bin Ren , Sriram Krishnamoorthy , Roberto Gioiosa , Jacques Pienaar , Gokcen Kestor

Advances in quantum simulator technology is increasingly required because research on quantum algorithms is becoming more sophisticated and complex. State vector simulation utilizes CPU and memory resources in computing nodes exponentially…

Quantum Physics · Physics 2024-09-04 Mikio Morita , Yoshinori Tomita , Junpei Koyama , Koichi Kimura

In this paper, we present the Quantum Information Software Developer Kit - Qiskit, for teaching quantum computing to undergraduate students, with basic knowledge of quantum mechanics postulates. We focus on presenting the construction of…

A universal quantum computer can simulate diverse quantum systems, with electronic structure for chemistry offering challenging problems for practical use cases around the hundred-qubit mark. While current quantum processors have reached…

The efficient simulation of complex quantum systems remains a central challenge due to the exponential growth of Hilbert space with system size. Tensor network methods have long been established as powerful approximation schemes, and their…

Computational Physics · Physics 2026-03-16 Min Chen , Minzhao Liu , Changhun Oh , Liang Jiang , Yuri Alexeev , Junyu Liu

Quantum machine learning researchers often rely on incorporating Tensor Networks (TN) into Deep Neural Networks (DNN) and variational optimization. However, the standard optimization techniques used for training the contracted trainable…

Quantum Physics · Physics 2023-10-04 Debanjan Konar , Dheeraj Peddireddy , Vaneet Aggarwal , Bijaya K. Panigrahi

Simulation of quantum systems is challenging due to the exponential size of the state space. Tensor networks provide a systematically improvable approximation for quantum states. 2D tensor networks such as Projected Entangled Pair States…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-04 Yuchen Pang , Tianyi Hao , Annika Dugad , Yiqing Zhou , Edgar Solomonik

As quantum computers scale, single-chip architectures face inherent limitations in qubit count. It drives the need for modular quantum computing and Quantum Data Centers (QDCs), where multiple quantum processor units (QPUs) are…

Quantum Physics · Physics 2026-05-15 Seyed Navid Elyasi , Paolo Monti , Jun Li , Rui Lin

This paper introduces the first release of Pytearcat, a Python package developed to compute tensor algebra operations in the context of theoretical physics, for instance, in general relativity. Given that working with tensors can become a…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Marco San Martín , Joaquin Sureda

We introduce a tensor network based emulator, simulating a programmable analog quantum processing unit (QPU). The software package is fully integrated in a cloud platform providing a common interface for executing jobs on a HPC cluster as…

Simulation is widely adopted in the study of modern computer networks. In this context, OMNeT++ provides a set of very effective tools that span from the definition of the network, to the automation of simulation execution and quick result…

Performance · Computer Science 2016-09-16 Antonio Virdis , Carlo Vallati , Giovanni Nardini

Quantum computing offers new ways to explore the theory of computation via the laws of quantum mechanics. Due to the rising demand for quantum computing resources, there is growing interest in developing cloud-based quantum resource sharing…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-07 Irwindeep Singh , Sukhpal Singh Gill , Jinzhao Sun , Jan Mol

Sparse tensor networks are commonly used to represent contractions over sparse tensors. Tensor contractions are higher-order analogs of matrix multiplication. Tensor networks arise commonly in many domains of scientific computing and data…

Programming Languages · Computer Science 2024-01-11 Saurabh Raje , Yufan Xu , Atanas Rountev , Edward F. Valeev , Saday Sadayappan

Reservoir computing leverages rich, non-linear dynamics to process temporal data. Quantum variants promise enhanced expressivity from high-dimensional Hilbert spaces, yet their practical applicability is hindered by hardware noise and…

Quantum many-body systems are challenging targets for computational physics due to their large degrees of freedom. The tensor networks, particularly Tensor Product States (TPS) and Projected Entangled Pair States (PEPS), effectively…

Strongly Correlated Electrons · Physics 2025-01-15 Yuichi Motoyama , Tsuyoshi Okubo , Kazuyoshi Yoshimi , Satoshi Morita , Tatsumi Aoyama , Takeo Kato , Naoki Kawashima

Recently, deep neural networks have proven capable of predicting some output properties of relevant random quantum circuits, indicating a strategy to emulate quantum computers alternative to direct simulation methods such as, e.g.,…

Disordered Systems and Neural Networks · Physics 2025-07-24 Simone Cantori , Sebastiano Pilati

Tensor contraction operations in computational chemistry consume significant fractions of computing time on large-scale computing platforms. The widespread use of tensor contractions between large multi-dimensional tensors in describing…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-11 Erdal Mutlu , Ajay Panyala , Nitin Gawande , Abhishek Bagusetty , Jinsung Kim , Karol Kowalski , Nicholas Bauman , Bo Peng , Jiri Brabec , Sriram Krishnamoorthy

There is currently a tremendous interest in developing practical applications of NISQ processors without the overhead required by full error correction. Quantum information processing is especially challenging within the gate model, as…

Quantum Physics · Physics 2020-02-04 Michael R. Geller

The LINPACK benchmark reports the performance of a computer for solving a system of linear equations with dense random matrices. Although this task was not designed with a real application directly in mind, the LINPACK benchmark has been…

Quantum Physics · Physics 2021-07-13 Yulong Dong , Lin Lin

This paper shows how to optimize sparse tensor algebraic expressions by introducing temporary tensors, called workspaces, into the resulting loop nests. We develop a new intermediate language for tensor operations called concrete index…

Mathematical Software · Computer Science 2023-10-18 Fredrik Kjolstad , Willow Ahrens , Shoaib Kamil , Saman Amarasinghe
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