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We introduce QuEST, the Quantum Exact Simulation Toolkit, and compare it to ProjectQ, qHipster and a recent distributed implementation of Quantum++. QuEST is the first open source, OpenMP and MPI hybridised, GPU accelerated simulator of…

Quantum Physics · Physics 2020-05-05 Tyson Jones , Anna Brown , Ian Bush , Simon Benjamin

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…

In this work we map NISQ-friendly implementations of the non-interacting QCA to a circuit Quantum Electrodynamics (cQED) hardware. We perform both noiseless and noisy simulations of the QCA one particle sector, namely the Quantum Walk, on…

Quantum Physics · Physics 2025-12-12 Andrea Mammola , Quentin Schaeverbeke , Giuseppe Di Molfetta

We introduce CircuitQ, an open-source toolbox for the analysis of superconducting circuits implemented in Python. It features the automated construction of a symbolic Hamiltonian of the input circuit and a dynamic numerical representation…

Quantum Physics · Physics 2022-09-29 Philipp Aumann , Tim Menke , William D. Oliver , Wolfgang Lechner

With the previous notions of bisimulation presented in literature, to check if two quantum processes are bisimilar, we have to instantiate the free quantum variables of them with arbitrary quantum states, and verify the bisimilarity of…

Logic in Computer Science · Computer Science 2012-02-22 Yuan Feng , Yuxin Deng , Mingsheng Ying

Modeling non-Hermitian Hamiltonians is increasingly important in classical and quantum domains, especially when studying open systems, $PT$ symmetry, and resonances. However, the quantum simulation of these models has been limited by the…

Quantum Physics · Physics 2025-02-20 Anastashia Jebraeilli , Michael R. Geller

This work presents AEQUAM (Area Efficient QUAntum eMulation), a toolchain that enables faster and more accessible quantum circuit verification. It consists of a compiler that translates OpenQASM 2.0 into RISC-like instructions, Cython…

Quantum Physics · Physics 2025-07-28 Lorenzo Lagostina , Deborah Volpe , Maurizio Zamboni , Giovanna Turvani

Traditional algorithms for simulating quantum computers on classical ones require an exponentially large amount of memory, and so typically cannot simulate general quantum circuits with more than about 30 or so qubits on a typical PC-scale…

In this paper, we introduce VeriQBench -- an open source benchmark for quantum circuits. It offers high-level quantum circuit abstractions of various circuit types, including 1) combinational, 2) dynamic, 3) sequential, and 4) variational…

Quantum Physics · Physics 2022-06-23 Kean Chen , Wang Fang , Ji Guan , Xin Hong , Mingyu Huang , Junyi Liu , Qisheng Wang , Mingsheng Ying

Quantum circuit simulation is crucial for quantum computing such as validating quantum algorithms. We present Qymera, a system that repurposes relational database management systems (RDBMSs) for simulation by translating circuits into SQL…

Quantum Physics · Physics 2025-06-11 Tim Littau , Rihan Hai

Quantum computing has made substantial progress in recent years; however, its scalability remains constrained on a monolithic quantum processing unit (QPU). Distributed quantum computing (DQC) offers a pathway by coordinating multiple QPUs…

Emerging Technologies · Computer Science 2025-11-26 Sen Zhang , Lingjun Xiong , Yipie Liu , Brian L. Mark , Lei Yang , Zebo Yang , Weiwen Jiang

Quantum simulation is a cornerstone application for quantum computing, yet standard methods face a trade-off between circuit depth and accuracy: Trotterization depth scales with the number of Hamiltonian terms $L$, while sampling-based…

Quantum Physics · Physics 2026-05-01 Sangjin Lee , Sangkook Choi

Quantum computing offers a powerful new perspective on probabilistic and collective behaviors traditionally taught in statistical physics. This paper presents two classroom-ready modules that integrate quantum computing into the…

Physics Education · Physics 2025-11-06 Zihan Li , Dan A. Mazilu , Irina Mazilu

While thousands of experimental physicists and chemists are currently trying to build scalable quantum computers, it appears that simulation of quantum computation will be at least as critical as circuit simulation in classical VLSI design.…

Quantum Physics · Physics 2007-05-23 George F. Viamontes , Manoj Rajagopalan , Igor L. Markov , John P. Hayes

Quantum computers are promising powerful computers for solving complex problems, but access to real quantum hardware remains limited due to high costs. Although the software simulators on CPUs/GPUs such as Qiskit, ProjectQ, and Qsun offer…

Quantum Physics · Physics 2025-03-19 Tuan Hai Vu , Vu Trung Duong Le , Hoai Luan Pham , Quoc Chuong Nguyen , Yasuhiko Nakashima

VWSIM is a circuit simulator for rapid, single-flux, quantum (RSFQ) circuits. The simulator is designed to model and simulate primitive-circuit devices such as capacitors, inductors, Josephson Junctions, and can be extended to simulate…

Logic in Computer Science · Computer Science 2022-05-25 Warren A. Hunt , Vivek Ramanathan , J Strother Moore

As quantum computing advances toward fault-tolerant architectures, quantum error detection (QED) has emerged as a practical and scalable intermediate strategy in the transition from error mitigation to full error correction. By identifying…

This paper presents Giallar, a fully-automated verification toolkit for quantum compilers. Giallar requires no manual specifications, invariants, or proofs, and can automatically verify that a compiler pass preserves the semantics of…

Programming Languages · Computer Science 2022-05-03 Runzhou Tao , Yunong Shi , Jianan Yao , Xupeng Li , Ali Javadi-Abhari , Andrew W. Cross , Frederic T. Chong , Ronghui Gu

QCMPI is a quantum computer (QC) simulation package written in Fortran 90 with parallel processing capabilities. It is an accessible research tool that permits rapid evaluation of quantum algorithms for a large number of qubits and for…

Quantum Physics · Physics 2015-05-13 F. Tabakin , B. Julia-Diaz

Analysis and verification of quantum circuits are highly challenging, given the exponential dependence of the number of states on the number of qubits. For analytical derivation, we propose a new quantum polynomial representation (QPR) to…

Quantum Physics · Physics 2025-03-14 Yu-Ting Kao , Hao-Yu Lu , Yeong-Jar Chang , Darsen Lu