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We present the mathematical model of decision making (DM) of agents acting in a complex and uncertain environment (combining huge variety of economical, financial, behavioral, and geo-political factors). To describe interaction of agents…

Mathematical Physics · Physics 2017-10-25 F. Bagarello , A. Khrennikov , E. Haven

The controls enacting logical operations on quantum systems are described by time-dependent Hamiltonians that often include rapid oscillations. In order to accurately capture the resulting time dynamics in numerical simulations, a very…

Quantum Physics · Physics 2021-09-29 Ross Shillito , Jonathan A. Gross , Agustin Di Paolo , Élie Genois , Alexandre Blais

With the increasing number of base stations (BSs) and network densification in 5G, interference management using link scheduling and power control are vital for better utilization of radio resources. However, the complexity of solving link…

Networking and Internet Architecture · Computer Science 2018-11-20 Shenghe Xu , Pei Liu , Ran Wang , Shivendra S. Panwar

Much attention has been paid to dynamical simulation and quantum machine learning (QML) independently as applications for quantum advantage, while the possibility of using QML to enhance dynamical simulations has not been thoroughly…

Quantum key distribution (QKD) systems provide a method for two users to exchange a provably secure key. Synchronizing the users' clocks is an essential step before a secure key can be distilled. Qubit-based synchronization protocols…

Quantum Physics · Physics 2021-08-11 Roderick D. Cochran , Daniel J. Gauthier

Discrete stochastic processes (DSP) are instrumental for modelling the dynamics of probabilistic systems and have a wide spectrum of applications in science and engineering. DSPs are usually analyzed via Monte Carlo methods since the number…

Quantum Physics · Physics 2020-08-17 Carsten Blank , Daniel K. Park , Francesco Petruccione

A fully Bayesian treatment of complicated predictive models (such as deep neural networks) would enable rigorous uncertainty quantification and the automation of higher-level tasks including model selection. However, the intractability of…

We present a framework that utilizes quantum algorithms, an architecture aware quantum noise model and an ideal simulator to benchmark quantum computers. The benchmark metrics highlight the difference between the quantum computer evolution…

Quantum Physics · Physics 2021-12-20 Konstantinos Georgopoulos , Clive Emary , Paolo Zuliani

Many claims of computational advantages have been made for quantum computing over classical, but they have not been demonstrated for practical problems. Here, we present algorithms for solving time-dependent PDEs, with particular reference…

Quantum Physics · Physics 2025-06-17 Sachin S. Bharadwaj , Katepalli R. Sreenivasan

Bayesian inference is a widely used technique for real-time characterization of quantum systems. It excels in experimental characterization in the low data regime, and when the measurements have degrees of freedom. A decisive factor for its…

Quantum Physics · Physics 2025-07-10 Alexandra Ramôa , Raffaele Santagati , Nathan Wiebe

Quantum batteries (QBs), acting as energy storage devices, have potential applications in future quantum science and technology. However, the QBs inevitably losses energy due to their interaction with environment. How to enhance the…

Quantum Physics · Physics 2025-11-11 Xian-Li Yin , Meixi Guo , Jian Huang , Heung-wing Joseph Lee , Guofeng Zhang

In this communication we demonstrate that a deep artificial neural network based on a transformer architecture with self-attention layers can predict the long-time population dynamics of a quantum system coupled to a dissipative environment…

Quantum Physics · Physics 2024-10-16 Luis E. Herrera Rodríguez , Alexei A. Kananenka

Despite their theoretical importance, dynamic Bayesian networks associated with quantum processes are currently not accessible experimentally. We here describe a general scheme to determine the multi-time path probability of a Bayesian…

Quantum Physics · Physics 2021-04-06 Kaonan Micadei , Gabriel T. Landi , Eric Lutz

Power quality disturbances (PQDs) significantly impact the stability and reliability of power systems, necessitating accurate and efficient detection and recognition methods. While numerous classical algorithms for PQDs detection and…

Quantum Physics · Physics 2024-06-06 Guo-Dong Li , Hai-Yan He , Yue Li , Xin-Hao Li , Hao Liu , Qing-Le Wang , Long Cheng

Classical deep neural network models struggle to represent data uncertainty and capture dependencies between features simultaneously, especially under fuzzy or noisy conditions. Although a quantum-assisted hierarchical fuzzy neural network…

Quantum Physics · Physics 2025-12-16 Wenwei Zhang , Jintao Wang , Tianyu Ye , Changgeng Liao

Continuous time Bayesian networks (CTBNs) describe structured stochastic processes with finitely many states that evolve over continuous time. A CTBN is a directed (possibly cyclic) dependency graph over a set of variables, each of which…

Machine Learning · Computer Science 2012-12-12 Uri Nodelman , Christian R. Shelton , Daphne Koller

Molecular dynamics simulations are a central computational methodology in materials design for relating atomic composition to mechanical properties. However, simulating materials with atomic-level resolution on a macroscopic scale is…

State-of-the-art quantum algorithms routinely tune dynamically parametrized cost functionals for combinatorics, machine learning, equation-solving, or energy minimization. However, large search complexity often demands many (noisy) quantum…

Quantum Physics · Physics 2022-01-12 Mogens Dalgaard , Felix Motzoi , Jacob Sherson

Recent work has proposed and explored using coreset techniques for quantum algorithms that operate on classical data sets to accelerate the applicability of these algorithms on near-term quantum devices. We apply these ideas to Quantum…

Quantum Physics · Physics 2023-07-28 Joshua Viszlai , Teague Tomesh , Pranav Gokhale , Eric Anschuetz , Frederic T. Chong

Accurate prediction of bond dissociation energies (BDEs) underpins mechanistic insight and the rational design of molecules and materials. We present a systematic, reproducible benchmark comparing quantum and classical machine learning…

Quantum Physics · Physics 2025-10-09 Swathi Chandrasekhar , Shiva Raj Pokhrel , Navneet Singh