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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

Semiconductor quantum dot arrays are a leading architecture for the development of quantum technologies. Over the years, the constant capacitance model has served as a fundamental framework for simulating, understanding, and navigating the…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Barnaby van Straaten , Joseph Hickie , Lucas Schorling , Jonas Schuff , Federico Fedele , Natalia Ares

Circuit simulation tools are critical for developing and assessing quantum-error-correcting and fault-tolerant strategies. In this work, we present SOFT, a high-performance SimulatOr for universal Fault-Tolerant quantum circuits.…

Quantum Physics · Physics 2025-12-30 Riling Li , Keli Zheng , Yiming Zhang , Huazhe Lou , Shenggang Ying , Ke Liu , Xiaoming Sun

Developing state-of-the-art classical simulators of quantum circuits is of utmost importance to test and evaluate early quantum technology and understand the true potential of full-blown error-corrected quantum computers. In the past few…

Quantum Physics · Physics 2022-01-03 Salvatore Mandrà , Jeffrey Marshall , Eleanor G. Rieffel , Rupak Biswas

The classical simulation of quantum algorithms is a crucial tool for circuit development, testing, and validation. Although acceleration using GPUs significantly reduces simulation time, most high-performance simulators rely on…

Recent work has explored using the stabilizer formalism to classically simulate quantum circuits containing a few non-Clifford gates. The computational cost of such methods is directly related to the notion of stabilizer rank, which for a…

Quantum Physics · Physics 2019-09-04 Sergey Bravyi , Dan Browne , Padraic Calpin , Earl Campbell , David Gosset , Mark Howard

Electron spin qubits in quantum dot devices are promising for scalable quantum computing. However, architectural support is currently hindered by the lack of realistic and performant simulation methods for real devices. Physics-based tools…

Mesoscale and Nanoscale Physics · Physics 2025-09-04 Shize Che , Junyu Zhou , Seong Woo Oh , Jonathan Hess , Noah Johnson , Mridul Pushp , Robert Spivey , Anthony Sigillito , Gushu Li

This paper builds on the idea of simulating stabiliser circuits through transformations of quadratic form expansions. This is a representation of a quantum state which specifies a formula for the expansion in the standard basis, describing…

Quantum Physics · Physics 2022-09-21 Niel de Beaudrap , Steven Herbert

Improving the simulation of quantum circuits on classical computers is important for understanding quantum advantage and increasing development speed. In this paper, we explore a new way to express stabilizer states and further improve the…

Quantum Physics · Physics 2022-09-12 Alexander Tianlin Hu , Andrey Boris Khesin

Compiling quantum circuits is a major bottleneck in quantum computing, and given the scale required in a few years, is likely to become infeasibly long. Techniques to reduce compilation time for quantum circuits are sorely needed.…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-01 Jane Moore , Michael Hart , John McAllister

Simulating noisy quantum circuits is vital in designing and verifying quantum algorithms in the current NISQ (Noisy Intermediate-Scale Quantum) era, where quantum noise is unavoidable. However, it is much more inefficient than the classical…

Quantum Physics · Physics 2023-11-27 Mingyu Huang , Ji Guan , Wang Fang , Mingsheng Ying

This paper proposes two quantum operation scheduling methods for accelerating parallel state-vector-based quantum circuit simulation using multiple graphics processing units (GPUs). The proposed methods reduce all-to-all communication…

Quantum Physics · Physics 2024-10-08 Yusuke Teranishi , Shoma Hiraoka , Wataru Mizukami , Masao Okita , Fumihiko Ino

Until high-fidelity quantum computers with a large number of qubits become widely available, classical simulation remains a vital tool for algorithm design, tuning, and validation. We present a simulator for the Quantum Approximate…

Quantum Physics · Physics 2023-11-14 Danylo Lykov , Ruslan Shaydulin , Yue Sun , Yuri Alexeev , Marco Pistoia

Engineering design processes involve iterative design evaluations requiring numerous computationally intensive numerical simulations. Quantum algorithms promise substantial speedups for specific tasks relevant to engineering simulations.…

Quantum Physics · Physics 2026-03-26 Leonhard Hölscher , Lukas Müller , Or Samimi , Tamuz Danzig

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…

We benchmark the performances of Qrack, an open-source software library for the high-performance classical simulation of (gate-model) quantum computers. Qrack simulates, in the Schr\"odinger picture, the exact quantum state of $n$ qubits…

Quantum Physics · Physics 2023-09-14 Daniel Strano , Benn Bollay , Aryan Blaauw , Nathan Shammah , William J. Zeng , Andrea Mari

Quantum computers have rapidly improved in scale and fidelity, yet access to large systems remains limited for most researchers. This makes accurate and scalable noisy quantum simulation essential. While density matrix simulation provides…

Quantum Physics · Physics 2026-05-19 Siddharth Dangwal , Tina Oberoi , Ajay Sailopal , Dhirpal Shah , Frederic T. Chong

A quantum computing simulation provides the opportunity to explore the behaviors of quantum circuits, study the properties of quantum gates, and develop quantum computing algorithms. Simulating quantum circuits requires geometric time and…

Quantum Physics · Physics 2024-07-10 Lee A. Belfore

Tensor network algorithms can efficiently simulate complex quantum many-body systems by utilizing knowledge of their structure and entanglement. These methodologies have been adapted recently for solving the Navier-Stokes equations, which…

Quantum computers have steadily improved over the last decade, but developing fault-tolerant quantum computing (FTQC) techniques, required for useful, universal computation remains an ongoing effort. Key elements of FTQC such as…