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The aim of this note is to present a self-contained proof of the fact that a function can be approximated using a linear combination of Gaussian coherent states, with a number of terms controlled in terms of the smoothness and of the decay…

数值分析 · 数学 2023-03-20 T. Chaumont-Frelet , M. Ingremeau

We introduce a class of inequalities based on low order correlations of operators to detect entanglement in bipartite systems. The operators may either be Hermitian or non-Hermitian and are applicable to any physical system or class of…

量子物理 · 物理学 2019-10-02 Yumang Jing , Qiongyi He , Tim Byrnes

We suggest measuring the one-particle density matrix of a trapped ultracold atomic cloud by scattering fast atoms in a pure momentum state off the cloud. The lowest-order probability for the process, resulting in a pair of outcoming fast…

软凝聚态物质 · 物理学 2007-05-23 A. B. Kuklov , B. V. Svistunov

Entanglement is the key resource for quantum technologies and is at the root of exciting many-body phenomena. However, quantifying the entanglement between two parts of a real-world quantum system is challenging when it interacts with its…

量子物理 · 物理学 2023-03-22 Christian Carisch , Oded Zilberberg

We introduce a measure of both quantum as well as classical correlations in a quantum state, the entanglement of purification. We show that the (regularized) entanglement of purification is equal to the entanglement cost of creating a state…

量子物理 · 物理学 2009-11-07 Barbara M. Terhal , Michal Horodecki , Debbie W. Leung , David P. DiVincenzo

We discuss a diagonal representation of a reduced density matrix determined within the framework of the complex scaling method. We also discuss a possible measure of bipartite correlations in quantum resonance states. As an example, we…

量子物理 · 物理学 2020-01-07 Przemyslaw Koscik

The verification and quantification of experimentally created entanglement by simple measurements, especially between distant particles, is an important basic task in quantum processing. When composite systems are subjected to local…

量子物理 · 物理学 2009-11-13 K. M. R. Audenaert , M. B. Plenio

We study the problem of optimal estimation and control of linear systems using quantized measurements, with a focus on applications over sensor networks. We show that the state conditioned on a causal quantization of the measurements can be…

信息论 · 计算机科学 2015-03-13 Ravi Teja Sukhavasi , Babak Hassibi

We propose a method to detect genuine quantum correlation for arbitrary quantum state in terms of the rank of coefficient matrices associated with the pure state. We then derive a necessary and sufficient condition for a quantum state to…

量子物理 · 物理学 2012-11-26 Bo Li , Leong Chuan Kwek , Heng Fan

Coherence and entanglement are fundamental properties of quantum systems, promising to power the near future quantum computers, sensors and simulators. Yet, their experimental detection is challenging, usually requiring full reconstruction…

量子物理 · 物理学 2017-08-01 Graeme Smith , John A. Smolin , Xiao Yuan , Qi Zhao , Davide Girolami , Xiongfeng Ma

There is a commonly recognized paradigm in which a multipartite quantum system described by a density matrix having no product eigenbasis is considered to possess nonclassical correlation. Supporting this paradigm, we define two entropic…

量子物理 · 物理学 2008-05-02 Akira SaiToh , Robabeh Rahimi , Mikio Nakahara

We work with reference to a well-known semiclassical model, in which quantum degrees of freedom interact with classical ones. We show that, in the classical limit, it is possible to represent classical results (e.g., classical chaos) by…

量子物理 · 物理学 2020-07-30 A. M. Kowalski , A. Plastino , G. Gonzalez Acosta

Protective measurement, which was proposed as a method of observing the wavefunction of a single system, is extended to the observation of the density matrix of a single system. d'Espagnat's definition of `proper mixture' is shown to be…

量子物理 · 物理学 2007-05-23 Y. Aharonov , J. Anandan

We characterize the multipartite entanglement of a system of n qubits in terms of the distribution function of the bipartite purity over all balanced bipartitions. We search for those (maximally multipartite entangled) states whose purity…

量子物理 · 物理学 2010-02-01 Paolo Facchi , Giuseppe Florio , Ugo Marzolino , Giorgio Parisi , Saverio Pascazio

We show theoretically how a correlation of multiple measurements on a qubit undergoing pure dephasing can be expressed as environmental noise filtering. The measurement of such correlations can be used for environmental noise spectroscopy,…

量子物理 · 物理学 2020-01-22 Fattah Sakuldee , Łukasz Cywiński

We study a general corresponding principle between discrete-variable quantum states and continuous-variable (especially, restricted on Gaussian) states via quantum purification method. In the previous work, we have already investigated an…

量子物理 · 物理学 2019-01-03 Youngrong Lim , Jaewan Kim , Soojoon Lee , Kabgyun Jeong

Complementarity relations for wave-particle duality are saturated only for pure, single-quanton, quantum states. For a completely incoherent state, it is known that wave and particle quantifiers can reach zero, and hence no information…

量子物理 · 物理学 2020-11-03 Marcos L. W. Basso , Jonas Maziero

We investigate the measurements of two-state quantum systems (qubits) at finite temperatures using a resonant harmonic oscillator as a quantum probe. The reduced density matrix and oscillator correlators are calculated by a scheme combining…

介观与纳米尺度物理 · 物理学 2009-11-11 Teemu Ojanen , Tero T. Heikkila

We compare approaches to evaluation of decoherence at low temperatures in two-state quantum systems weakly coupled to the environment. By analyzing an exactly solvable model, we demonstrate that a non-Markovian approximation scheme yields…

介观与纳米尺度物理 · 物理学 2010-10-12 Dmitry Solenov , Vladimir Privman

We give a detailed description of the entanglement purification protocol which generates maximally entangled states with high efficiencies from realistic Gaussian continuous variable entangled states. The physical implementation of this…

量子物理 · 物理学 2009-11-06 Lu-Ming Duan , G. Giedke , J. I. Cirac , P. Zoller