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By calculating entanglement measures and quantum violation of Bell-type inequality, we reveal the relationship between entanglement measure and the amount of quantum violation for a family of four-qubit entangled states. It has been…

量子物理 · 物理学 2017-06-07 Dong Ding , Yingqiu He , Fengli Yan , Ting Gao

Over the past few decades, experimental tests of Bell-type inequalities have been at the forefront of understanding quantum mechanics and its implications. These strong bounds on specific measurements on a physical system originate from…

Violation of a Bell-like inequality for a spin-energy entangled neutron state has been confirmed in a polarimetric experiment. The proposed inequality, in Clauser-Horne-Shimony-Holt (CHSH) formalism, relies on correlations between the spin…

量子物理 · 物理学 2009-12-17 S. Sponar , J. Klepp , C. Zeiner , G. Badurek , Y. Hasegawa

The Large Hadron Collider provides a unique opportunity to study quantum entanglement and violation of Bell inequalities at the highest energy available today. In this paper, we will investigate these quantum correlations with top quark…

高能物理 - 唯象学 · 物理学 2024-07-08 Zhongtian Dong , Dorival Gonçalves , Kyoungchul Kong , Alberto Navarro

We present a crytographic protocol based upon entangled qutrit pairs. We analyse the scheme under a symmetric incoherent attack and plot the region for which the protocol is secure and compare this with the region of violations of certain…

量子物理 · 物理学 2007-05-23 Dagomir Kaszlikowski , Kelken Chang , Daniel Kuan Li Oi , L. C. Kwek , C. H. Oh

We propose and analyze a protocol for observing a violation of the Clauser-Horne-Shimony-Holt (CHSH) Bell inequality using two spatially separated Bose-Einstein condensates (BECs). To prepare the Bell-correlated state, spin-changing…

Nonlocality is an essential concept that distinguishes quantum from classical models and has been extensively studied in systems of qubits. For higher-dimensional systems, certain results for their two-level counterpart, like Bell…

量子物理 · 物理学 2025-08-25 Uta Isabella Meyer , Ivan Šupić , Damian Markham , Frédéric Grosshans

We established a physically utilizable Bell inequality based on the Peres-Horodecki criterion. The new quadratic probabilistic Bell inequality naturally provides us a necessary and sufficient way to test all entangled two-qubit or…

量子物理 · 物理学 2007-06-22 Jing-Ling Chen , Ming-Guang Hu

We consider quantum systems composed of $N$ qubits, and the family of all Bell's correlation inequalities for two two-valued measurements per site. We show that if a $N$-qubit state $\rho$ violates any of these inequalities, then it is at…

量子物理 · 物理学 2009-11-07 A. Acin , V. Scarani , M. M. Wolf

The Bell and the Clauser-Horne-Shimony-Holt inequalities are shown to hold for both the cases of complex and real analytic nonlocality in the setting parameters of Einstein-Podolsky-Rosen-Bohm experiments for spin 1/2 particles and photons,…

量子物理 · 物理学 2009-11-10 M. Socolovsky

We present a three-outcome permutationally-invariant Bell inequality, which we show to be naturally suited to explore nonlocal correlations in many-body spin-1 systems or SU(3) models. In the specific, we show how to derive from this…

量子物理 · 物理学 2024-06-19 Guillem Müller-Rigat , Albert Aloy , Maciej Lewenstein , Matteo Fadel , Jordi Tura

The Horodecki criterion provides a necessary and sufficient condition for a two-qubit state to be able to manifest Bell nonlocality via violation of the Clauser-Horne-Shimony-Holt (CHSH) inequality. It requires, however, the assumption that…

量子物理 · 物理学 2022-01-10 Michael J. W. Hall , Shuming Cheng

The recently proposed (Phys. Rev. A90 (2014), 062121 and Phys. Rev. A91 (2015), 052110) group theoretical approach to the problem of breaking the Bell inequalities is applied to $S_4$ group. The Bell inequalities based on the choice of…

量子物理 · 物理学 2017-03-16 Katarzyna Bolonek-Lasoń , Ścibór Sobieski

Entangled states play a fundamental role in Quantum Mechanics and are at the core of many contemporary applications, such as quantum communication and quantum computing. Therefore, determining whether a state is entangled or not is an…

量子物理 · 物理学 2023-05-11 J. Cortés-Vega , J. F. Barra , L. Pereira , A. Delgado

Bell-type inequalities and violations thereof reveal the fundamental differences between standard probability theory and its quantum counterpart. In the course of previous investigations ultimate bounds on quantum mechanical violations have…

量子物理 · 物理学 2007-05-23 Stefan Filipp , Karl Svozil

Alice and Bob each have half of a pair of entangled qubits. Bob measures his half and then passes his qubit to a second Bob who measures again and so on. The goal is to maximize the number of Bobs that can have an expected violation of the…

量子物理 · 物理学 2020-09-02 Peter J. Brown , Roger Colbeck

This letter presents quantum mechanical inequalities which distinguish, for systems of $N$ spin-$\half$ particles ($N>2$), between fully entangled states and states in which at most $N-1$ particles are entangled. These inequalities are…

量子物理 · 物理学 2009-11-07 Jos Uffink

We study a recently proposed Einstein-Podolsky-Rosen steering inequality [arXiv- 1412.8178 (2014)]. Analogous to Clauser-Horne-Shimony-Holt (CHSH) inequality for Bell nonlocality, in the simplest scenario, i.e., 2 parties, 2 measurements…

量子物理 · 物理学 2015-10-02 Arup Roy , Some Sankar Bhattacharya , Amit Mukherjee , Manik Banik

It was shown in Phys. Rev. Lett., 87, 230402 (2001) that N (N >= 4) qubits described by a certain one parameter family F of bound entangled states violate Mermin-Klyshko inequality for N >= 8. In this paper we prove that the states from the…

量子物理 · 物理学 2009-11-07 Dagomir Kaszlikowski , L. C. Kwek , Jingling Chen , C. H. Oh

We examine the problem of exhibiting Bell nonlocality for a two-qudit entangled pure state using a randomly chosen set of mutually unbiased bases (MUBs). Interestingly, even if we employ only two-setting Bell inequalities, we find a…

量子物理 · 物理学 2022-07-19 Gelo Noel M. Tabia , Varun Satya Raj Bavana , Shih-Xian Yang , Yeong-Cherng Liang