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Simulating quantum circuits is a computationally intensive task that relies heavily on tensor products and matrix multiplications, which can be inefficient. Recent advancements, eliminate the need for tensor products and matrix…

High-performance classical simulator for quantum circuits, in particular the tensor network contraction algorithm, has become an important tool for the validation of noisy quantum computing. In order to address the memory limitations, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-28 Yaojian Chen , Yong Liu , Xinmin Shi , Jiawei Song , Xin Liu , Lin Gan , Chu Guo , Haohuan Fu , Jie Gao , Dexun Chen , Guangwen Yang

We present efficient and scalable parallel algorithms for performing mathematical operations for low-rank tensors represented in the tensor train (TT) format. We consider algorithms for addition, elementwise multiplication, computing norms…

Numerical Analysis · Mathematics 2021-09-08 Hussam Al Daas , Grey Ballard , Peter Benner

The numerical simulation of quantum circuits is an indispensable tool for development, verification and validation of hybrid quantum-classical algorithms on near-term quantum co-processors. The emergence of exascale high-performance…

Quantum Physics · Physics 2021-04-22 Thien Nguyen , Dmitry Lyakh , Eugene Dumitrescu , David Clark , Jeff Larkin , Alexander McCaskey

We present a framework for effectively simulating the execution of quantum circuits originally designed to demonstrate quantum supremacy using accessible high-performance computing (HPC) infrastructure. Building on prior CPU-only…

Quantum Physics · Physics 2025-12-09 Bob Wold , Venkateswaran Kasirajan

Circuit knitting offers a promising path to the scalable execution of large quantum circuits by breaking them into smaller sub-circuits whose output is recombined through classical postprocessing. However, current techniques face excessive…

Quantum Physics · Physics 2024-10-22 Nathaniel Tornow , Christian B. Mendl , Pramod Bhatotia

We present TensorCircuit-NG, a next-generation quantum software platform designed to bridge the gap between quantum physics, artificial intelligence, and high-performance computing. Moving beyond the scope of traditional circuit simulators,…

Improving the computational efficiency of quantum many-body calculations from a hardware perspective remains a critical challenge. Although field-programmable gate arrays (FPGAs) have recently been exploited to improve the computational…

Strongly Correlated Electrons · Physics 2026-02-06 Songtai Lv , Yang Liang , Rui Zhu , Qibin Zheng , Haiyuan Zou

Recent technological advancements show promise in leveraging quantum mechanical phenomena for computation. This brings substantial speed-ups to problems that are once considered to be intractable in the classical world. However, the…

Quantum Physics · Physics 2023-12-05 Shaowen Li , Yusuke Kimura , Hiroyuki Sato , Junwei Yu , Masahiro Fujita

The NeuroEvolution of Augmenting Topologies (NEAT) algorithm has received considerable recognition in the field of neuroevolution. Its effectiveness is derived from initiating with simple networks and incrementally evolving both their…

Neural and Evolutionary Computing · Computer Science 2025-04-14 Lishuang Wang , Mengfei Zhao , Enyu Liu , Kebin Sun , Ran Cheng

Quantum computing is a hotspot technology for its potential to accelerate specific applications by exploiting quantum parallelism. However, current physical quantum computers are limited to a relatively small scale, simulators based on…

Quantum Physics · Physics 2022-11-15 Jingcheng Shen , Linbo Long , Masao Okita , Fumihiko Ino

Simulating quantum systems using classical computing equipment has been a significant research focus. This work demonstrates that circuits as large and complex as the random circuit sampling (RCS) circuits published as a part of Google's…

Quantum Physics · Physics 2024-11-20 Venkateswaran Kasirajan , Torey Battelle , Bob Wold

In this article, we present TornadoQSim, an open-source quantum circuit simulation framework implemented in Java. The proposed framework has been designed to be modular and easily expandable for accommodating different user-defined…

Tensor networks are a popular and computationally efficient approach to simulate general quantum systems on classical computers and, in a broader sense, a framework for dealing with high-dimensional numerical problems. This paper presents a…

Quantum Physics · Physics 2024-12-30 Marcos Díez García , Antonio Márquez Romero

We study the problem of generating independent samples from the output distribution of Google's Sycamore quantum circuits with a target fidelity, which is believed to be beyond the reach of classical supercomputers and has been used to…

Quantum Physics · Physics 2022-08-30 Feng Pan , Keyang Chen , Pan Zhang

In this article, we introduce, a novel open-source framework designed for efficient parallel computation of projections in tomography leveraging either multiple CPU cores or GPUs. This framework efficiently implements forward and back…

Medical Physics · Physics 2023-12-18 Georg Schramm , Kris Thielemans

With the rapid progress in quantum hardware and software, the need for verification of quantum systems becomes increasingly crucial. While model checking is a dominant and very successful technique for verifying classical systems, its…

Data Structures and Algorithms · Computer Science 2025-03-07 Xin Hong , Dingchao Gao , Sanjiang Li , Shenggang Ying , Mingsheng Ying

We show a similarity between two different classical simulation methods for measurement based quantum computation -- one relying on a low entanglement (tree tensor network) representation of the computer's state, and the other a tensor…

Quantum Physics · Physics 2008-02-11 Nadav Yoran

The Tensor Network Quantum Virtual Machine (TNQVM) is a high-performance classical circuit simulation backend for the eXtreme-scale ACCelerator (XACC) framework that leverages the Intelligent Tensor (ITensor) library for tensor…

Quantum Physics · Physics 2026-03-31 Zachary W. Windom , Daniel Claudino , Vicente Leyton-Ortega

To realize the full potential of quantum computers, we must mitigate qubit errors by developing noise-aware algorithms, compilers, and architectures. Thus, simulating quantum programs on high-performance computing (HPC) systems with…

Quantum Physics · Physics 2025-05-20 Meng Wang , Swamit Tannu , Prashant J. Nair