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We present an efficient tensor-network-based approach for simulating large-scale quantum circuits, demonstrated using Quantum Support Vector Machines (QSVMs). Our method effectively reduces exponential runtime growth to near-quadratic…

In this paper machine learning and artificial neural network models are proposed for the classification of external noise sources affecting a given quantum dynamics. For this purpose, we train and then validate support vector machine,…

Quantum Physics · Physics 2023-02-17 Stefano Martina , Stefano Gherardini , Filippo Caruso

Artificial Neural Networks (ANNs) are being deployed for an increasing number of safety-critical applications, including autonomous cars and medical diagnosis. However, concerns about their reliability have been raised due to their…

Machine Learning · Computer Science 2021-09-17 Luiz Sena , Xidan Song , Erickson Alves , Iury Bessa , Edoardo Manino , Lucas Cordeiro , Eddie de Lima Filho

Quantum computers hold promise to improve the efficiency of quantum simulations of materials and to enable the investigation of systems and properties more complex than tractable at present on classical architectures. Here, we discuss…

Quantum Physics · Physics 2022-05-03 Christian Vorwerk , Nan Sheng , Marco Govoni , Benchen Huang , Giulia Galli

Verifying specifications for large-scale control systems is of utmost importance, but can be hard in practice as most formal verification methods can not handle high-dimensional dynamics. Contract theory has been proposed as a modular…

Systems and Control · Electrical Eng. & Systems 2021-11-03 Miel Sharf , Bart Besselink , Karl Henrik Johansson

Quantum inspired protocols e.g. [AAV13,AG17] attempt to achieve a single-prover interactive protocol where a classical machine can verify quantum computations in an information-theoretically secure manner. We define a family of protocols…

Quantum Physics · Physics 2021-05-14 Ayal Green

Quantum computers and quantum algorithms have made great strides in the last few years and promise improvements over classical computing for specific tasks. Although the current hardware is not yet ready to make real impacts at the time of…

Quantum Physics · Physics 2024-08-28 Nils Quetschlich , Tobias Forster , Adrian Osterwind , Domenik Helms , Robert Wille

We present a method to test quantum behavior of quantum information processing devices, such as quantum memories, teleportation devices, channels and quantum key distribution protocols. The test of quantum behavior can be phrased as the…

Quantum Physics · Physics 2008-03-07 Hauke Häseler , Tobias Moroder , Norbert Lütkenhaus

Model-checking techniques have been extended to analyze quantum programs and communication protocols represented as quantum Markov chains, an extension of classical Markov chains. To specify qualitative temporal properties, a subspace-based…

Quantum Physics · Physics 2024-05-10 Ji Guan , Yuan Feng , Andrea Turrini , Mingsheng Ying

We introduce a machine learning approach to model checking temporal logic, with application to formal hardware verification. Model checking answers the question of whether every execution of a given system satisfies a desired temporal logic…

Logic in Computer Science · Computer Science 2024-11-01 Mirco Giacobbe , Daniel Kroening , Abhinandan Pal , Michael Tautschnig

Parameterised quantum circuits (PQCs) hold great promise for demonstrating quantum advantages in practical applications of quantum computation. Examples of successful applications include the variational quantum eigensolver, the quantum…

Quantum Physics · Physics 2024-04-30 Xin Hong , Wei-Jia Huang , Wei-Chen Chien , Yuan Feng , Min-Hsiu Hsieh , Sanjiang Li , Mingsheng Ying

Analog quantum simulation is expected to be a significant application of near-term quantum devices. Verification of these devices without comparison to known simulation results will be an important task as the system size grows beyond the…

Quantum Physics · Physics 2021-03-04 Ryan Shaffer , Eli Megidish , Joseph Broz , Wei-Ting Chen , Hartmut Häffner

Typical security proofs for quantum key distribution (QKD) rely on having some model for the devices, with the security guarantees implicitly relying on the values of various parameters of the model, such as dark count rates or detector…

Quantum Physics · Physics 2025-08-22 Ernest Y. -Z. Tan , Shlok Nahar

Validation is often defined as the process of determining the degree to which a model is an accurate representation of the real world from the perspective of its intended uses. Validation is crucial as industries and governments depend…

Computational Physics · Physics 2016-09-08 Didier Sornette , Anthony B. Davis , James R. Kamm , Kayo Ide

Equivalence checking of quantum circuits is a central verification task in quantum computing, ensuring the correctness of circuit optimizations, hardware mappings, and compilation pipelines. Among the primary symbolic methods for this…

Symbolic Computation · Computer Science 2026-04-28 Wei-Jia Huang , Christophe Chareton , Yu-Fang Chen , Kai-Min Chung , Min-Hsiu Hsieh , Alfons Laarman , Jingyi Mei

Modelling quantum devices is to find a model according to quantum theory that can explain the result of experiments in a quantum device. We find that usually we cannot correctly identify the model describing the actual physics of the device…

Quantum Physics · Physics 2019-10-08 Hang Ren , Ying Li

Understanding the effects of noise on quantum computations is fundamental to the development of quantum hardware and quantum algorithms. Simulation tools are essential for quantitatively modelling these effects, yet unless artificial…

Quantum Physics · Physics 2025-10-07 Anthony P. Thompson , Arie Soeteman , Chris Cade , Ido Niesen

The task of testing whether two uncharacterized quantum devices behave in the same way is crucial for benchmarking near-term quantum computers and quantum simulators, but has so far remained open for continuous-variable quantum systems. In…

Quantum Physics · Physics 2023-05-29 Ya-Dong Wu , Yan Zhu , Ge Bai , Yuexuan Wang , Giulio Chiribella

We present a tensor-network-based method for simulating a weakly-measured quantum circuit. In particular, we use a Markov chain to efficiently sample measurements and contract the tensor network, propagating their effect forward along the…

Quantum Physics · Physics 2025-10-09 Darren Pereira , Leonardo Banchi

As the number of qubits increases, quantum circuits become more complex and their state space grows rapidly. This makes functional verification challenging for conventional techniques. Ensuring correctness is especially critical for quantum…

Quantum Physics · Physics 2026-03-31 Arun Govindankutty
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