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Related papers: ACE: A general-purpose non-Markovian open quantum …

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Multi-scale computer simulations combine the computationally efficient classical algorithms with more expensive but also more accurate ab-initio quantum mechanical algorithms. This work describes one implementation of multi-scale…

Computational Physics · Physics 2014-08-20 L. Leukkunen , T. Verho , O. Lopez-Acevedo

Confidential computing plays an important role in isolating sensitive applications from the vast amount of untrusted code commonly found in the modern cloud. We argue that it can also be leveraged to build safer and more secure…

Cryptography and Security · Computer Science 2025-05-20 Wojciech Ozga , Guerney D. H. Hunt , Michael V. Le , Lennard Gäher , Avraham Shinnar , Elaine R. Palmer , Hani Jamjoom , Silvio Dragone

We investigate the nature of memory effects in the non-Markovian dynamics of spin boson models. Local quantum memory criteria can be used to indicate that the reduced dynamics of an open system necessarily requires a quantum memory in its…

Quantum Physics · Physics 2026-05-06 Charlotte Bäcker , Valentin Link , Walter T. Strunz

Linear operations, e.g., vector-matrix and vector-vector multiplications, are core operations of modern neural networks. To diminish computational time, these operations are implemented by parallel computations using different coprocessors.…

Quantum Physics · Physics 2026-05-15 I. V. Vovchenko , A. A. Zyablovsky , A. A. Pukhov , E. S. Andrianov

Path-integral techniques are a powerful tool used in open quantum systems to provide an exact solution for the non-Markovian dynamics. However, the exponential scaling of the tensor size with quantum memory length of these techniques limits…

Quantum Physics · Physics 2025-08-25 L. M. J. Hall , A. Gisdakis , E. A. Muljarov

Approaching the long-time dynamics of non-Markovian open quantum systems presents a challenging task if the bath is strongly coupled. Recent proposals address this problem through a representation of the so-called process tensor in terms of…

Quantum Physics · Physics 2024-05-20 Valentin Link , Hong-Hao Tu , Walter T. Strunz

Numerical simulations are a powerful tool to study quantum systems beyond exactly solvable systems lacking an analytic expression. For one-dimensional entangled quantum systems, tensor network methods, amongst them Matrix Product States…

Quantum Gases · Physics 2018-02-28 Daniel Jaschke , Michael L. Wall , Lincoln D. Carr

We provide a new approach for the efficient matrix-free application of the transpose of the Jacobian for the spectral element method for the adjoint based solution of partial differential equation (PDE) constrained optimization. This…

Optimization and Control · Mathematics 2020-05-28 Oana Marin , Emil Constantinescu , Barry Smith

The precise characterization of dynamics in open quantum systems often presents significant challenges, leading to the introduction of various approximations to simplify a model. One commonly used strategy involves Markovian approximations,…

Quantum Physics · Physics 2024-12-04 Zhao-Ming Wang , S. L. Wu , Mark S. Byrd , Lian-Ao Wu

This paper introduces a new generalized polynomial chaos expansion (PCE) comprising measure-consistent multivariate orthonormal polynomials in dependent random variables. Unlike existing PCEs, whether classical or generalized, no…

Probability · Mathematics 2018-04-17 Sharif Rahman

The dynamics of one-dimensional quantum many-body systems is often numerically simulated with matrix-product states (MPSs). The computational complexity of MPS methods is known to be related to the growth of entropies of reduced density…

Quantum Physics · Physics 2023-08-08 Guillermo Preisser , David Wellnitz , Thomas Botzung , Johannes Schachenmayer

Embedded cyber-physical systems (CPS) are commonly built upon heterogeneous digital and analog integrated circuits, including sensors and actuators. Less common is their deployment on parallel, NoC based designs based on general purpose…

Other Computer Science · Computer Science 2019-10-15 Daniela Genius

Problems in the field of open quantum systems often involve an environment that strongly influences the dynamics of excited states. Here we present a numerical method to model optical spectra of non-Markovian open quantum systems. The…

Quantum Physics · Physics 2025-05-01 Roosmarijn de Wit , Jonathan Keeling , Brendon W. Lovett , Alex W. Chin

Harnessing modern parallel computing resources to achieve complex multi-physics simulations is a daunting task. The Multiphysics Object Oriented Simulation Environment (MOOSE) aims to enable such development by providing simplified…

This is a set of lectures on tensor networks with a strong emphasis on the core algorithms involving Matrix Product States (MPS) and Matrix Product Operators (MPO). Compared to other presentations, particular care has been given to…

Quantum Physics · Physics 2026-01-07 Xavier Waintal , Chen-How Huang , Christoph W. Groth

This research introduces an improved framework for constructing matrix product operators (MPOs) and tree tensor network operators (TTNOs), crucial tools in quantum simulations. A given (Hamiltonian) operator typically has a known symbolic…

Quantum Physics · Physics 2025-07-04 Hazar Çakır , Richard M. Milbradt , Christian B. Mendl

Machine-learning-based interatomic potentials enable accurate materials simulations on extended time- and lengthscales. ML potentials based on the Atomic Cluster Expansion (ACE) framework have recently shown promising performance for this…

Computational Physics · Physics 2024-08-02 Daniel F. Thomas du Toit , Yuxing Zhou , Volker L. Deringer

The Multiphysics Object Oriented Simulation Environment (MOOSE) framework is a high-performance, open source, C++ finite element toolkit developed at Idaho National Laboratory. MOOSE was created with the aim of assisting domain scientists…

Numerical Analysis · Mathematics 2018-02-22 John W. Peterson , Alexander D. Lindsay , Fande Kong

Atomic cluster expansion (ACE) methods provide a systematic way to describe particle local environments of arbitrary body order. For practical applications it is often required that the basis of cluster functions be symmetrized with respect…

Materials Science · Physics 2024-02-27 James M. Goff , Charles Sievers , Mitchell A. Wood , Aidan P. Thompson

Open quantum systems are ubiquitous in the physical sciences, with widespread applications in the areas of chemistry, condensed matter physics, material science, optics, and many more. Not surprisingly, there is significant interest in…

Quantum Physics · Physics 2023-07-13 Isobel A. Aloisio , Gregory A. L. White , Charles D. Hill , Kavan Modi