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The constantly increasing dimensionality of artificial quantum systems demands for highly efficient methods for their characterization and benchmarking. Conventional quantum tomography fails for larger systems due to the exponential growth…

Quantum Physics · Physics 2023-09-04 Sergei S. Kuzmin , Varvara I. Mikhailova , Ivan V. Dyakonov , Stanislav S. Straupe

Machine Learning algorithms are extensively used in an increasing number of systems, applications, technologies, and products, both in industry and in society as a whole. They enable computing devices to learn from previous experience and…

Quantum Physics · Physics 2025-02-17 Lucas Lamata

We formulate approximate Bayesian inference in non-conjugate temporal and spatio-temporal Gaussian process models as a simple parameter update rule applied during Kalman smoothing. This viewpoint encompasses most inference schemes,…

Machine Learning · Statistics 2020-07-14 William J. Wilkinson , Paul E. Chang , Michael Riis Andersen , Arno Solin

Quantum computing promises to solve problems beyond the reach of classical computers, but today's quantum hardware is error-prone and much slower than classical hardware. Every quantum operation is costly, making it crucial to minimize…

Quantum Physics · Physics 2026-05-25 Lian Remme , Alexander Weinert , Andre Waschk , Lukas Burgholzer , Robert Wille

We investigate the problem of approximate Bayesian inference for a general class of observation models by means of the expectation propagation (EP) framework for large systems under some statistical assumptions. Our approach tries to…

Information Theory · Computer Science 2016-08-24 Burak Çakmak , Manfred Opper , Bernard H. Fleury , Ole Winther

The radiation transfer equation is widely used for simulating such as heat transfer in engineering, diffuse optical tomography in healthcare, and radiation hydrodynamics in astrophysics. By combining the lattice Boltzmann method, we propose…

Quantum Physics · Physics 2024-03-11 Asuka Igarashi , Tadashi Kadowaki , Shiro Kawabata

Quantum machine learning is a rapidly growing field at the intersection of quantum technology and artificial intelligence. This review provides a two-fold overview of several key approaches that can offer advancements in both the…

Quantum Physics · Physics 2023-03-07 Alexey Melnikov , Mohammad Kordzanganeh , Alexander Alodjants , Ray-Kuang Lee

We show that the problem of communication in a quantum computer reduces to constructing reliable quantum channels by distributing high-fidelity EPR pairs. We develop analytical models of the latency, bandwidth, error rate and resource…

Quantum Physics · Physics 2007-05-23 Nemanja Isailovic , Yatish Patel , Mark Whitney , John Kubiatowicz

Recent advancements have highlighted the limitations of current quantum systems, particularly the restricted number of qubits available on near-term quantum devices. This constraint greatly inhibits the range of applications that can…

This two-part paper develops a non-iterative coordinated optimal dispatch framework, i.e., free of iterative information exchange, via the innovation of the equivalent projection (EP) theory. The EP eliminates internal variables from…

Optimization and Control · Mathematics 2025-10-27 Zhenfei Tan , Zheng Yan , Haiwang Zhong , Qing Xia

In the context of signal detection in the presence of an unknown time-varying channel parameter, receivers based on the Expectation Propagation (EP) framework appear to be very promising. EP is a message-passing algorithm based on factor…

Signal Processing · Electrical Eng. & Systems 2024-04-09 Elisa Conti , Armando Vannucci , Amina Piemontese , Giulio Colavolpe

Recent advancements in quantum technologies have opened new horizons for exploring the physical world in ways once deemed impossible. Central to these breakthroughs is the concept of quantum advantage, where quantum systems outperform their…

The ability to perform ab initio molecular dynamics simulations using potential energies calculated on quantum computers would allow virtually exact dynamics for chemical and biochemical systems, with substantial impacts on the fields of…

Quantum network communication is challenging, as the No-cloning theorem in quantum regime makes many classical techniques inapplicable. For long-distance communication, the only viable communication approach is teleportation of quantum…

Quantum Physics · Physics 2024-04-08 Mohammad Ghaderibaneh , Caitao Zhan , Himanshu Gupta , C. R. Ramakrishnan

The simulation of out-of-equilibrium dissipative quantum many body systems is a problem of fundamental interest to a number of fields in physics, ranging from condensed matter to cosmology. For unitary systems, tensor network methods have…

Quantum Physics · Physics 2019-10-30 Edward Gillman , Federico Carollo , Igor Lesanovsky

The efficient simulation of complex quantum systems remains a central challenge due to the exponential growth of Hilbert space with system size. Tensor network methods have long been established as powerful approximation schemes, and their…

Computational Physics · Physics 2026-03-16 Min Chen , Minzhao Liu , Changhun Oh , Liang Jiang , Yuri Alexeev , Junyu Liu

We address a wide spectrum of quantum control strategies, including various open-loop protocols and advanced adaptive methods. These methodologies apply to few-qubit scenarios and naturally scale to larger N-qubit systems. We benchmark them…

Quantum Physics · Physics 2025-09-22 Atta ur Rahman , M. Y. Abd-Rabbou , Cong-feng Qiao

In this paper we study Spectral Decomposition Theorem [1] and translate it to quantum language by means of the Wigner transform. We obtain a quantum version of Spectral Decomposition Theorem (QSDT) which enables us to achieve three distinct…

Mathematical Physics · Physics 2014-11-11 Ignacio Gomez , Mario Castagnino

In this work, we extend the Equilibrium Propagation framework to skew-gradient systems and show an equivalence between deep Energy-Based Models and Hamiltonian neural networks. We focus on networks of diffusively coupled Fitzhugh-Nagumo…

Machine Learning · Computer Science 2026-05-22 Jack Kendall

Transport and the approach to equilibrium in interacting classical and quantum systems is a challenging problem of both theoretical and experimental interest. One useful organizing principle characterizing equilibration is the dissipative…

Statistical Mechanics · Physics 2024-08-27 Alexios A. Michailidis , Dmitry A. Abanin , Luca V. Delacrétaz