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We present a particle filter construction for a system that exhibits time-scale separation. The separation of time-scales allows two simplifications that we exploit: i) The use of the averaging principle for the dimensional reduction of the…

Numerical Analysis · Mathematics 2008-06-05 Dror Givon , Panagiotis Stinis , Jonathan Weare

The transfer of knowledge from one policy to another is an important tool in Deep Reinforcement Learning. This process, referred to as distillation, has been used to great success, for example, by enhancing the optimisation of agents,…

The article compares traditional coefficients of thermodynamic activity as a parameter related to individual chemical species to newly introduced reduced chaotic temperatures as system characteristics, both regarding their usage in…

Chemical Physics · Physics 2007-05-23 B. Zilbergleyt

We investigate the possibility of characterizing two-party entanglement by measuring correlations of Stokes operators in polarized bright light beams. We adapt a general separability criterion to such operators. We then show that…

Quantum Physics · Physics 2009-11-10 Francesca Alessandrini , Stefano Mancini , Paolo Tombesi

Recent advances in audio declipping have substantially improved the state of the art.% in certain saturation regimes. Yet, practitioners need guidelines to choose a method, and while existing benchmarks have been instrumental in advancing…

Sound · Computer Science 2020-12-01 Clément Gaultier , Srđan Kitić , Rémi Gribonval , Nancy Bertin

We describe two parallel algorithms for line opacity calculations based on a local file and on a global file approach. The performance and scalability of both approaches is discussed for different test cases and very different parallel…

Astrophysics · Physics 2009-11-06 Peter H. Hauschildt , David K. Lowenthal , E. Baron

Dynamic polarization protocols aim to hyperpolarize a spin bath by transferring spin polarization from a well-controlled qubit such as a quantum dot or a color defect. Building on techniques from shortcuts to adiabaticity, we design fast…

Quantum Physics · Physics 2021-02-17 Tamiro Villazon , Pieter W. Claeys , Anatoli Polkovnikov , Anushya Chandran

Many protocols of quantum information processing use entangled states. Hence, separability criteria are of great importance. We propose new separability conditions for a bipartite finite-dimensional system. They are derived by using…

Quantum Physics · Physics 2016-06-23 Alexey E. Rastegin

We present a framework for deciding whether a quantum state is separable or entangled using covariance matrices of locally measurable observables. This leads to the covariance matrix criterion as a general separability criterion. We…

Quantum Physics · Physics 2008-12-03 Oleg Gittsovich , Otfried Gühne , Philipp Hyllus , Jens Eisert

We propose a generalization of separability in the context of global optimization. Our results apply to objective functions implemented as differentiable computer programs. They are presented in the context of a simple branch and bound…

Optimization and Control · Mathematics 2023-05-10 Jens Deussen , Uwe Naumann

By viewing the operations of the Richardson purification algorithm as a discrete time dynamical process, we propose a method to overcome the instability of the algorithm by controlling chaos. We present theoretical analysis and numerical…

cmp-lg · Computer Science 2009-10-28 Song He

We propose practical and efficient protocols for verifying bipartite pure states for any finite dimension, which can also be applied to fidelity estimation. Our protocols are based on adaptive local projective measurements with either…

Quantum Physics · Physics 2019-09-18 Zihao Li , Yun-Guang Han , Huangjun Zhu

Given an ensemble of mixed qubit states, it is possible to increase the purity of the constituent states using a procedure known as state purification. The reverse operation, which we refer to as dilution, reduces the level of purity…

Quantum Physics · Physics 2015-03-18 Peter Bowles , Madalin Guta , Gerardo Adesso

We present and characterize a method to accelerate the relaxation of a Brownian object between two distinct equilibrium states. Instead of relying on a deterministic time-dependent control parameter, we use stochastic resetting to guide and…

Statistical Mechanics · Physics 2024-06-07 Rémi Goerlich , Tommer D. Keidar , Yael Roichman

Evolution of purity in case of factorizable interaction between an open system and an environment is investigated. We derive a simple expression for purity decrease at the first instants of evolution (when purity is close to unity). We find…

Quantum Physics · Physics 2009-08-14 Oleg Lychkovskiy

We study cutoff results for parameterized verification and synthesis of guarded protocols, as introduced by Emerson and Kahlon (2000). Guarded protocols describe systems of processes whose transitions are enabled or disabled depending on…

Logic in Computer Science · Computer Science 2017-07-06 Swen Jacobs , Mouhammad Sakr

We design fast protocols to separate or recombine two ions in a segmented Paul trap. By inverse engineering the time evolution of the trapping potential composed of a harmonic and a quartic term, it is possible to perform these processes in…

Quantum Physics · Physics 2016-08-03 M. Palmero , S. Martínez-Garaot , U. G. Poschinger , A. Ruschhaupt , J. G. Muga

In quantum theory, the inescapable interaction between a system and its surroundings would lead to a loss of coherence and leakage of information into the environment. An effective approach to retain the quantum characteristics of the…

Quantum Physics · Physics 2025-08-29 Guohui Dong , Yao Yao

We introduce an optimisation method for variational quantum algorithms and experimentally demonstrate a 100-fold improvement in efficiency compared to naive implementations. The effectiveness of our approach is shown by obtaining…

In this note, we propose a novel approach for a class of autonomous dynamical systems that allows, given some observations of the solutions, to identify its parameters and reconstruct the state vector. This approach relies on proving the…

Dynamical Systems · Mathematics 2024-08-22 Alicja B Kubik , Alain Rapaport , Benjamin Ivorra , Ángel M Ramos