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We prove a version of Bell's Theorem in which the Locality assumption is weakened. We start by assuming theoretical quantum mechanics and weak forms of relativistic causality and of realism (essentially the fact that observable values are…

量子物理 · 物理学 2020-11-05 Alejandro Cabrera , Edson de Faria , Enrique Pujals , Charles Tresser

A model for two entangled systems in an EPR setting is shown to reproduce the quantum-mechanical outcomes and expectation values. Each system is represented by a small sphere containing a point-like particle embedded in a field. A quantum…

量子物理 · 物理学 2009-09-29 A. Matzkin

In a recent paper [quant-ph/9910066], Arens and Varadarajan gave a characterization of what they call EPR-states on a bipartite composite quantum system. By definition, such states imply perfect correlation between suitable pairs of…

量子物理 · 物理学 2007-05-23 R. F. Werner

A localized qubit entangled with a propagating quantum field is well suited to study non-local aspects of quantum mechanics and may also provide a channel to communicate between spatially separated nodes in a quantum network. Here, we…

量子物理 · 物理学 2013-01-29 C. Eichler , C. Lang , J. M. Fink , J. Govenius , S. Filipp , A. Wallraff

We plot the geometry of several distance-based quantifiers of coherence for Bell-diagonal states. We find that along with both $l_{1}$ norm and relative entropy of coherence changes continuously from zero to one, their surfaces move from…

量子物理 · 物理学 2017-03-08 Yao-Kun Wang , Lian-He Shao , Yu-Ran Zhang

We argue that the conclusion of Bell theorem, namely, that there must be spatial non-local correlations in certain experimental situations, does not apply to typical individual measurements performed on entangled EPR pairs. Our claim is…

综合物理 · 物理学 2015-10-22 Victor Romero-Rochin

Bell's theorem reveals a profound conflict between quantum mechanics and local realism, a conflict we reinterpret through the modern lens of causal inference. We propose and computationally validate a framework where quantum entanglement…

量子物理 · 物理学 2025-08-28 Pilsung Kang

We show that correlations inconsistent with any locally causal description can be a generic feature of measurements on entangled quantum states. Specifically, spatially-separated parties who perform local measurements on a…

量子物理 · 物理学 2016-09-08 Yeong-Cherng Liang , Nicholas Harrigan , Stephen D. Bartlett , Terry Rudolph

We derive tight quadratic inequalities for all kinds of hybrid separable-inseparable $n$-particle density operators on an arbitrary dimensional space. This methodology enables us to truly derive a tight quadratic inequality as tests for…

量子物理 · 物理学 2009-11-07 Koji Nagata , Masato Koashi , Nobuyuki Imoto

We employ an approach wherein vacuum entanglement is directly probed in a controlled manner. The approach consists of having a pair of initially nonentangled detectors locally interact with the field for a finite duration, such that the two…

量子物理 · 物理学 2009-11-10 Benni Reznik , Alex Retzker , Jonathan Silman

Locally covariant algebraic quantum field theory (LCQFT) satisfies Einstein causality through microcausality and operational no-signalling, yet Bell-type correlations persist in entangled field states across spacelike regions. We…

广义相对论与量子宇宙学 · 物理学 2025-12-23 Joseph Samper Finberg

In a recent paper (arXiv:1905.07348v1), Dyson scheme to deal with density matrix of non-Hermitian Hamiltonians has been used to investigate the entanglement of states of a PT-symmetric bosonic system. They found that von Neumann entropy can…

量子物理 · 物理学 2020-10-20 C. A. Goulart , M. P. Pato

We report on a continuous variable analogue of the triplet two-qubit Bell states. We theoretically and experimentally demonstrate a remarkable similarity of two-mode continuous variable entangled states with triplet Bell states with respect…

量子物理 · 物理学 2015-05-13 Gerd Leuchs , Ruifang Dong , Denis Sych

Algebraic approach to quantum non - separability is applied to the case of two qubits. It is based on the partition of the algebra of observables into independent subalgebras and the tensor product structure of the Hilbert space is not…

量子物理 · 物理学 2015-05-30 L. Derkacz , M. Gwozdz , L. Jakobczyk

We consider the quantum entanglement of the electronic and vibrational degrees of freedom in molecules with a tendency towards double welled potentials using model coupled harmonic diabatic potential-energy surfaces. The von Neumann entropy…

量子物理 · 物理学 2012-02-24 Laura K. McKemmish , Ross H. McKenzie , Noel S. Hush , Jeffrey R. Reimers

Ensembles containing orthogonal product states are found to be indistinguishable under local operations and classical communication (LOCC), thereby showing irreversibility in the preparation and distinguishing processes, which is commonly…

量子物理 · 物理学 2020-09-10 Shiladitya Mal , Aditi Sen De

It is shown that the correlations predicted by relativistic quantum field theory in locally normal states between projections in local von Neumann algebras $\cA(V_1),\cA(V_2)$ associated with spacelike separated spacetime regions $V_1,V_2$…

量子物理 · 物理学 2008-11-26 Miklos Redei , Stephen J. Summers

All the states of N qubits can be classified into N-1 entanglement classes from 2-entangled to N-entangled (fully entangled) states. Each class of entangled states is characterized by an entanglement index that depends on the partition of…

量子物理 · 物理学 2016-11-10 Sixia Yu , Zeng-Bing Chen , Jian-Wei Pan , Yong-De Zhang

Bell nonlocality and uncertainty relations are distinct features of quantum theory from classical physics. Bell nonlocality concerns the correlation strength among local observables on different quantum particles, whereas the uncertainty…

量子物理 · 物理学 2024-09-10 Li-Yi Hsu

We present a new viewpoint on the construction of pointlike local fields in integrable models of quantum field theory. As usual, we define these local observables by their form factors; but rather than exhibiting their $n$-point functions…

数学物理 · 物理学 2020-01-03 Henning Bostelmann , Daniela Cadamuro