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Quantum reservoir computing is a machine-learning approach designed to exploit the dynamics of quantum systems with memory to process information. As an advantage, it presents the possibility to benefit from the quantum resources provided…

Quantum Physics · Physics 2023-03-29 Pere Mujal

Metastable structures in macromolecular and colloidal systems are non-equilibrium states that often have long lifetimes and cause difficulties in simulating equilibrium. In order to escape from the long-lived metastable states, we propose a…

Soft Condensed Matter · Physics 2011-06-09 Yuki Norizoe , Toshihiro Kawakatsu

Defect-based quantum systems in in wide bandgap semiconductors are strong candidates for scalable quantum-information technologies. However, these systems are often complicated by charge-state instabilities and interference by phonons,…

In this paper, we address the problem of stabilization in continuous time linear dynamical systems using state feedback when compressive sampling techniques are used for state measurement and reconstruction. In [5], we had introduced the…

Optimization and Control · Mathematics 2011-10-18 Kang Kang , Sourabh Bhattacharya , Tamer Basar

We develop a stabilization strategy of turning processes by means of delayed spindle control. We show that turning processes which contain intrinsic state-dependent delays can be stabilized by a spindle control with state-dependent delay,…

Dynamical Systems · Mathematics 2018-06-14 Qingwen Hu , Huan Zhang

We study the paradigmatic model of a qubit interacting with a structured environment and driven by an external field by means of a microscopic and a phenomenological model. The validity of the so-called fixed-dissipator (FD) assumption,…

Quantum Physics · Physics 2020-01-29 Gian Luca Giorgi , Astghik Saharyan , Stéphane Guérin , Dominique Sugny , Bruno Bellomo

Based on recent work on the asymptotic behavior of controlled quantum Markovian dynamics, we show that any generic quantum state can be stabilized by devising constructively a simple Lindblad-GKS generator that can achieve global asymptotic…

Quantum Physics · Physics 2010-12-21 Francesco Ticozzi , Sophie G. Schirmer , Xiaoting Wang

Manipulating the state of a logical quantum bit usually comes at the expense of exposing it to decoherence. Fault-tolerant quantum computing tackles this problem by manipulating quantum information within a stable manifold of a larger…

Topological properties of quantum systems are one of the most intriguing emerging phenomena in condensed matter physics. A crucial property of topological systems is the symmetry-protected robustness towards local noise. Experiments have…

Quantum Physics · Physics 2022-12-05 Guliuxin Jin , Eliska Greplova

We numerically study reservoir computing on a spin-torque oscillator (STO) array, describing the magnetization dynamics of the STO array by a nonlinear oscillator model. The STOs exhibit synchronized oscillation due to coupling by magnetic…

Mesoscale and Nanoscale Physics · Physics 2019-09-27 Taro Kanao , Hirofumi Suto , Koichi Mizushima , Hayato Goto , Tetsufumi Tanamoto , Tazumi Nagasawa

It is known that state-dependent, multi-step Lyapunov bounds lead to greatly simplified verification theorems for stability for large classes of Markov chain models. This is one component of the "fluid model" approach to stability of…

Optimization and Control · Mathematics 2012-05-18 Serdar Yüksel , Sean P. Meyn

In this work we propose a novel method to ensure important entropy inequalities are satisfied semi-discretely when constructing reduced order models (ROMs) on nonlinear reduced manifolds. We are in particular interested in ROMs of systems…

Numerical Analysis · Mathematics 2024-07-18 Robin Klein , Benjamin Sanderse , Pedro Costa , Rene Pecnik , Ruud Henkes

We devise a generic and experimentally accessible recipe to prepare boundary states of topological or nontopological quantum systems through an interplay between coherent Hamiltonian dynamics and local dissipation. Intuitively, our recipe…

Mesoscale and Nanoscale Physics · Physics 2023-12-13 Fan Yang , Paolo Molignini , Emil J. Bergholtz

No quantum measurement can give full information on the state of a quantum system; hence any quantum feedback control problem is neccessarily one with partial observations, and can generally be converted into a completely observed control…

Mathematical Physics · Physics 2007-05-23 Mazyar Mirrahimi , Ramon van Handel

Self-stabilization is a versatile fault-tolerance approach that characterizes the ability of a system to eventually resume a correct behavior after any finite number of transient faults. In this paper, we propose a self-stabilizing reset…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-23 Stéphane Devismes , Colette Johnen

Today's most advanced ion trap quantum computers have significant overhead due to the need for dual-species operation. Looking ahead, logical qubit register sizes will be limited by the encoding rate needed to correct generic Pauli errors.…

Bound state and time evolution for single excitation in one dimensional XXZ spin chain within non-Markovian reservoir are studied exactly. As for bound state, a common feature is the localization of single excitation, which means the…

Quantum Physics · Physics 2018-05-09 H. T. Cui , H. Z. Shen , S. C. Hou , X. X. Yi

Physical reservoir computing provides a powerful machine learning paradigm that exploits nonlinear physical dynamics for efficient information processing. By incorporating quantum effects, quantum reservoir computing offers superior…

Quantum Physics · Physics 2026-03-27 Yanjun Hou , Juncheng Hua , Ze Wu , Wei Xia , Yuquan Chen , Xiaopeng Li , Zhaokai Li , Xinhua Peng , Jiangfeng Du

Occupying a position between entanglement and Bell nonlocality, Einstein-Podolsky-Rosen (EPR) steering has attracted increasing attention in recent years. Many criteria have been proposed and experimentally implemented to characterize…

Quantum Physics · Physics 2017-11-29 Zhihua Chen , Xiangjun Ye , Shaoming Fei

A periodic array of atomic sites, described within a tight binding formalism is shown to be capable of trapping electronic states as it grows in size and gets stubbed by an atom or an atomic clusters from a side in a deterministic way. We…

Disordered Systems and Neural Networks · Physics 2018-03-13 Amrita Mukherjee , Atanu Nandy , Arunava Chakrabarti
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