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We present a general strategy to derive entanglement criteria which consists in performing a mapping from qudits to qubits that preserves the separability of the parties and SU(2) rotational invariance. Consequently, it is possible to apply…

One of the most elusive problems in quantum mechanics is the transition between classical and quantum physics. This problem can be traced back to the Schr\"{o}dinger's cat. A key element that lies at the center of this problem is the lack…

量子物理 · 物理学 2021-03-17 Moein Naseri , Sadegh Raeisi

We determine the complete set of generalized spin squeezing inequalities, given in terms of the collective angular momentum components, for particles with an arbitrary spin. They can be used for the experimental detection of entanglement in…

量子物理 · 物理学 2015-01-27 Giuseppe Vitagliano , Philipp Hyllus , Inigo L. Egusquiza , Geza Toth

In an ensemble of two-level atoms that can be described in terms of a collective spin, entangled states can be used to enhance the sensitivity of interferometric precision measurements. While non-Gaussian spin states can produce larger…

量子气体 · 物理学 2021-12-06 Youcef Baamara , Alice Sinatra , Manuel Gessner

Entanglement is a cornerstone in quantum information science, yet detecting it efficiently remains a challenging task. Focusing on non-positive partially transposed (NPT) states, we establish a hierarchy among entropy-based, majorization,…

量子物理 · 物理学 2025-07-30 Akhil Kumar Awasthi , Sudipta Mondal , Rivu Gupta , Aditi Sen De

We present an entanglement criterion for two mode squeezed states which relies on particle counting only. The proposed inequality is optimal for the state under consideration and robust against particle losses up to 2/3. As it does not…

量子物理 · 物理学 2008-09-16 Christine A. Muschik , Eugene S. Polzik , J. Ignacio Cirac

We analyze an experimental method for creating interesting nonclassical states by processing the entanglement generated when two large coherent states interact in a cross-Kerr medium. We specifically investigate the effects of loss and…

量子物理 · 物理学 2017-10-11 David Schmid , Kevin Marshall , Daniel F. V. James

Micro-Macro Duality means here the universal mutual relations between the microscopic quantum world and various macroscopic classical levels, which can be formulated mathematically as categorical adjunctions. It underlies a unified scheme…

数学物理 · 物理学 2007-05-23 Izumi Ojima

Coherence, the superposition of orthogonal quantum states, is indispensable in various quantum processes. Inspired by the polynomial invariant for classifying and quantifying entanglement, we first define polynomial coherence measure and…

量子物理 · 物理学 2018-09-07 You Zhou , Qi Zhao , Xiao Yuan , Xiongfeng Ma

Measuring the quantumness of a system can be done with a variety of methods. In this article we compare different criteria, namely quantum discord, Bell inequality violation and non-separability, for systems placed in a Gaussian state. When…

量子物理 · 物理学 2023-04-19 Jerome Martin , Amaury Micheli , Vincent Vennin

Full coherent control and generation of superpositions of the quantum harmonic oscillator are not only of fundamental interest but are crucial for applications in quantum simulations, quantum-enhanced metrology and continuous-variable…

量子物理 · 物理学 2024-09-06 S. Saner , O. Băzăvan , D. J. Webb , G. Araneda , D. M. Lucas , C. J. Ballance , R. Srinivas

The experimental detection of multipartite entanglement usually requires a number of appropriately chosen local quantum measurements which are aligned with respect to a previously shared common reference frame. The latter, however, can be a…

量子物理 · 物理学 2019-04-02 Andreas Ketterer , Nikolai Wyderka , Otfried Gühne

We present an analytical approach to evaluate the geometric measure of multiparticle entanglement for mixed quantum states. Our method allows the computation of this measure for a family of multiparticle states with a certain symmetry and…

量子物理 · 物理学 2016-04-05 Lars Erik Buchholz , Tobias Moroder , Otfried Gühne

Experimental procedures are presented for the rapid detection of entanglement of unknown arbitrary quantum states. The methods are based on the entanglement criterion using accessible correlations and the principle of correlation…

We study the geometric measure of quantum coherence recently proposed in [Phys. Rev. Lett. 115, 020403 (2015)]. Both lower and upper bounds of this measure are provided. These bounds are shown to be tight for a class of important coherent…

量子物理 · 物理学 2017-03-14 Hai-Jun Zhang , Bin Chen , Ming Li , Shao-Ming Fei , Gui-Lu Long

We argue that the quantum probability law follows, in the large N limit, from the compatibility of quantum mechanics with classical-like properties of macroscopic objects. For a finite sample, we find that likely and unlikely measurement…

量子物理 · 物理学 2009-11-07 Yakir Aharonov , Benni Reznik

We propose a unifying approach to the separability problem using covariance matrices of locally measurable observables. From a practical point of view, our approach leads to strong entanglement criteria that allow to detect the entanglement…

量子物理 · 物理学 2007-10-04 O. Gühne , P. Hyllus , O. Gittsovich , J. Eisert

Bounds analogous to entropic uncertainty relations allow one to design practical tests to detect quantum entanglement by a collective measurement performed on several copies of the state analyzed. This approach, initially worked out for…

量子物理 · 物理学 2013-01-04 Łukasz Rudnicki , Zbigniew Puchała , Paweł Horodecki , Karol Życzkowski

In quantum physics, multiparticle systems are described by quantum states acting on tensor products of Hilbert spaces. This product structure leads to the distinction between product states and entangled states; moreover, one can quantify…

量子物理 · 物理学 2026-03-06 Lisa T. Weinbrenner , Albert Rico , Kenneth Goodenough , Xiao-Dong Yu , Otfried Gühne

Quantum systems can be prepared in an infinite continuum of states, but only some of them can be used as resources for quantum technologies. Discerning whether a specific quantum state falls into this class, is often a challenging task. We…

量子物理 · 物理学 2025-09-11 Šimon Bräuer , Tomáš Opatrný , Petr Marek