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The density-matrix renormalization-group (DMRG) algorithm is extended to treat time-dependent problems. The method provides a systematic and robust tool to explore out-of-equilibrium phenomena in quantum many-body systems. We illustrate the…

介观与纳米尺度物理 · 物理学 2009-11-07 M. A. Cazalilla , J. B. Marston

Accurate and efficient theoretical descriptions of lanthanide systems based on ab initio electronic structure theory remain highly challenging due to the complex interplay of strong electronic correlation and significant relativistic…

化学物理 · 物理学 2025-03-04 Yuhang Ai , Ze-Wei Li , Zhe-Bin Guan , Hong Jiang

We employ the density matrix renormalization group (DMRG) and the wave function factorization method for the numerical solution of large scale nuclear structure problems. The DMRG exhibits an improved convergence for problems with realistic…

核理论 · 物理学 2007-05-23 T. Papenbrock , D. J. Dean

Advanced diffusion magnetic resonance imaging (dMRI) techniques, like diffusion spectrum imaging (DSI) and high angular resolution diffusion imaging (HARDI), remain underutilized compared to diffusion tensor imaging because the scan times…

计算机视觉与模式识别 · 计算机科学 2017-08-04 Evan Schwab , René Vidal , Nicolas Charon

We address the problem of data augmentation in a rotating turbulence set-up, a paradigmatic challenge in geophysical applications. The goal is to reconstruct information in two-dimensional (2D) cuts of the three-dimensional flow fields,…

流体动力学 · 物理学 2023-12-19 Tianyi Li , Alessandra S. Lanotte , Michele Buzzicotti , Fabio Bonaccorso , Luca Biferale

Deep learning models have significantly improved the visual quality and accuracy on compressive sensing recovery. In this paper, we propose an algorithm for signal reconstruction from compressed measurements with image priors captured by a…

机器学习 · 计算机科学 2020-03-20 Shaojie Xu , Sihan Zeng , Justin Romberg

Data-driven inference of the generative dynamics underlying a set of observed time series is of growing interest in machine learning and the natural sciences. In neuroscience, such methods promise to alleviate the need to handcraft models…

机器学习 · 计算机科学 2024-11-06 Eric Volkmann , Alena Brändle , Daniel Durstewitz , Georgia Koppe

The density-matrix renormalization group (DMRG) algorithm can be adapted to the calculation of dynamical correlation functions in various ways which all represent compromises between computational efficiency and physical accuracy. In this…

强关联电子 · 物理学 2012-11-19 P. E. Dargel , A. Wöllert , A. Honecker , I. P. McCulloch , U. Schollwöck , T. Pruschke

Magnetic resonance image (MRI) reconstruction is a severely ill-posed linear inverse task demanding time and resource intensive computations that can substantially trade off {\it accuracy} for {\it speed} in real-time imaging. In addition,…

计算机视觉与模式识别 · 计算机科学 2017-06-02 Morteza Mardani , Enhao Gong , Joseph Y. Cheng , Shreyas Vasanawala , Greg Zaharchuk , Marcus Alley , Neil Thakur , Song Han , William Dally , John M. Pauly , Lei Xing

The quantum chemical version of the density matrix renormalization group (DMRG) method has established itself as one of the methods of choice for calculations of strongly correlated molecular systems. Despite its great ability to capture…

化学物理 · 物理学 2021-08-31 Pavel Beran , Mikuláš Matoušek , Michał Hapka , Katarzyna Pernal , Libor Veis

Reconstructing quantum states is an important task for various emerging quantum technologies. The process of reconstructing the density matrix of a quantum state is known as quantum state tomography. Conventionally, tomography of arbitrary…

量子物理 · 物理学 2020-08-17 Sanjib Ghosh , Andrzej Opala , Michał Matuszewski , Tomasz Paterek , Timothy C. H. Liew

Accurate quantum many-body calculations often depend on reliable reference states or good human-designed ans\"atze, yet these sources of knowledge can become unreliable in hard problems like strongly correlated systems. We introduce the…

量子物理 · 物理学 2025-11-19 Hao Zhang , Matthew Otten

We present a simple and efficient Bayesian recursive algorithm for the data-pattern scheme for quantum state reconstruction, which is applicable to situations where measurement settings can be controllably varied efficiently. The algorithm…

We study the quantum dynamics of a two-level system interacting with a quantized harmonic oscillator in the deep strong coupling regime (DSC) of the Jaynes-Cummings model, that is, when the coupling strength g is comparable or larger than…

量子物理 · 物理学 2010-12-27 J. Casanova , G. Romero , I. Lizuain , J. J. Garcia-Ripoll , E. Solano

Linear response theory for the density matrix renormalization group (DMRG-LRT) was first presented in terms of the DMRG renormalization projectors [Dorando et al., J. Chem. Phys. 130, 184111 (2009)]. Later, with an understanding of the…

强关联电子 · 物理学 2014-02-25 Naoki Nakatani , Sebastian Wouters , Dimitri Van Neck , Garnet Kin-Lic Chan

Quantum state tomography is a key technique for quantum information processing, but is challenging due to the exponential growth of its complexity with the system size. In this work, we propose an algorithm which iteratively finds the best…

量子物理 · 物理学 2022-05-13 Donghong Han , Chu Guo , Xiaoting Wang

The accurate electronic structure calculation for strongly correlated chemical systems requires an adequate description for both static and dynamic electron correlation, and is a persistent challenge for quantum chemistry. In order to…

强关联电子 · 物理学 2020-08-18 Yinxuan Song , Yifan Cheng , Yingjin Ma , Haibo Ma

We present, to the best of our knowlegde, the first attempt to exploit the supercomputer platform for quantum chemical density matrix renormalization group (QC-DMRG) calculations. We have developed the parallel scheme based on the in-house…

化学物理 · 物理学 2020-06-22 Jiří Brabec , Jan Brandejs , Karol Kowalski , Sotiris Xantheas , Örs Legeza , Libor Veis

Coded caching provides significant gains over conventional uncoded caching by creating multicasting opportunities among distinct requests. Massive multiple-input multiple-output (MIMO) systems require downlink channel state information…

信息论 · 计算机科学 2019-07-08 Qianqian Yang , Mahdi Boloursaz Mashhadi , Deniz Gündüz

Channel state information (CSI) at transmitter is crucial for massive MIMO downlink systems to achieve high spectrum and energy efficiency. Existing works have provided deep learning architectures for CSI feedback and recovery at the…

信号处理 · 电气工程与系统科学 2022-04-21 Yu-Chien Lin , Ta-Sung Lee , Zhi Ding
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