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Quantum computation is traditionally expressed in terms of quantum bits, or qubits. In this work, we instead consider three-level qu$trits$. Past work with qutrits has demonstrated only constant factor improvements, owing to the $\log_2(3)$…

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

We introduce qprof, a new and extensible quantum program profiler able to generate profiling reports of various quantum circuits. We describe the internal structure and working of qprof and provide three practical examples on practical…

Quantum Physics · Physics 2021-06-15 Adrien Suau , Gabriel Staffelbach , Aida Todri-Sanial

Quantum computing offers unparalleled computational capabilities but faces significant challenges, including limited qubit counts, diverse hardware topologies, and dynamic noise/error rates, which hinder scalability and reliability.…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-25 Zefan Du , Yanni Li , Zijian Mo , Wenqi Wei , Juntao Chen , Rajkumar Buyya , Ying Mao

Quantum logic gates must perform properly when operating on their standard input basis states, as well as when operating on complex superpositions of these states. Experiments using superconducting qubits have validated the truth table for…

Formal methods have been a successful approach for modelling and verifying the correctness of complex technologies like microprocessor chip design, biological systems and others. This is the main motivation of developing quantum formal…

Formal Languages and Automata Theory · Computer Science 2024-09-27 Ittoop Vergheese Puthoor

Quantum circuit simulators have a long tradition of exploiting massive hardware parallelism. Most of the times, parallelism has been supported by special purpose libraries tailored specifically for the quantum circuits. Quantum circuit…

Quantum Physics · Physics 2021-06-29 Oumarou Oumarou , Alexandru Paler , Robert Basmadjian

The increasing capabilities of quantum computing hardware and the challenge of realizing deep quantum circuits require fully automated and efficient tools for compiling quantum circuits. To express arbitrary circuits in a sequence of native…

Unlike most classical algorithms that take an input and give the solution directly as an output, quantum algorithms produce a quantum circuit that works as an indirect solution to computationally hard problems. In the full quantum computing…

Quantum Physics · Physics 2025-05-22 Yikai Mao , Shaswot Shresthamali , Masaaki Kondo

Integer programming (IP) is an NP-hard combinatorial optimization problem that is widely used to represent a diverse set of real-world problems spanning multiple fields, such as finance, engineering, logistics, and operations research. It…

Quantum Physics · Physics 2025-08-20 Kapil Goswami , Peter Schmelcher , Rick Mukherjee

Current methods for verifying quantum computers are predominately based on interactive or automatic theorem provers. Considering that quantum computers are dynamical in nature, this paper employs and extends the concepts from the…

Quantum Physics · Physics 2024-08-15 Marco Lewis , Sadegh Soudjani , Paolo Zuliani

We experimentally demonstrate a virtual two-qubit gate and characterize it using quantum process tomography~(QPT). The virtual two-qubit gate decomposes an actual two-qubit gate into single-qubit unitary gates and projection gates in…

Qiskit is an open-source quantum computing framework that allows users to design, simulate, and run quantum circuits on real quantum hardware. We explore post-training techniques for LLMs to assist in writing Qiskit code. We introduce…

Quantum Physics · Physics 2025-08-29 Nicolas Dupuis , Adarsh Tiwari , Youssef Mroueh , David Kremer , Ismael Faro , Juan Cruz-Benito

Prior studies have largely focused on quantum algorithms, often reducing parallel computing designs to abstract models or overly simplified circuits. This has contributed to the misconception that most applications are feasible only through…

Quantum Physics · Physics 2025-06-23 Yu-Ting Kao , Yeong-Jar Chang , Ying-Wei Tseng

We perform formal verification of quantum circuits by integrating several techniques specialized to particular classes of circuits. Our verification methodology is based on the new notion of a reversible miter that allows one to leverage…

Quantum Physics · Physics 2013-05-01 Shigeru Yamashita , Igor L. Markov

In the recent years, numerous research advancements have extended the limit of classical simulation of quantum algorithms. Although, most of the state-of-the-art classical simulators are only limited to binary quantum systems, which…

Quantum computing is transitioning from experimental prototypes to commercially available turnkey systems, making architecture-agnostic performance metrics essential for cross-platform comparison. Peaked Random Circuits (PRCs) have recently…

Quantum Physics · Physics 2026-05-26 Martin Brieger , Florian Krötz , Minh Chung , Dieter Kranzlmüller

The accurate implementation of quantum gates is essential for the realisation of quantum algorithms and digital quantum simulations. This accuracy may be increased on noisy hardware through the variational optimisation of gates, however the…

Quantum Physics · Physics 2021-07-14 Sean Greenaway , Frédéric Sauvage , Kiran E. Khosla , Florian Mintert

In this work, we study quantum computing algorithms for accelerating causal inference. Specifically, we consider the formalism of causal hypothesis testing presented in [\textit{Nat Commun} 10, 1472 (2019)]. We develop a quantum circuit…

Quantum Physics · Physics 2023-10-03 Akash Kundu , Tamal Acharya , Aritra Sarkar

Running a quantum circuit on current hardware involves a sequence of engineering decisions, each with tunable parameters and distinct error characteristics. Existing tools optimize each decision in isolation, leaving practitioners unable to…

Quantum Physics · Physics 2026-05-13 Kisho Sotokawa , Hideaki Kawaguchi , Shin Nishio , Takahiko Satoh