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For quantum communication in a gravitational field, the properties of the Einstein-Podolsky-Rosen (EPR) correlation are studied within the framework of general relativity. Acceleration and gravity are shown to deteriorate the perfect…

量子物理 · 物理学 2009-11-10 Hiroaki Terashima , Masahito Ueda

It is not generally known, that the inequality that Bell derived using three random variables must be identically satisfied by any three corresponding data sets of plus and minus 1s that are writable on paper.This surprising fact is not…

量子物理 · 物理学 2023-01-10 Louis Sica

In this paper, the Lorentz transformation of the entangled Bell states with momentum, not necessarily orthogonal to the boost direction, and spin, is studied. We extended quantum correlations and Bell's inequality to the relativistic regime…

量子物理 · 物理学 2009-11-10 Young Hoon Moon , Doyeol Ahn , Sung Woo Hwang

Bell inequality experiments measure the correlation coefficients of two spatially separated systems. In an EPR setup, at one location Alice has $N_a\geq 2$ observables $A =\{\A_j\}_1^{N_a}$ while at a second remote location Bob has $N_b…

量子物理 · 物理学 2018-05-09 T. A. Osborn , Adam Rogers

For a system composed of two particles Bell's theorem asserts that averages of physical quantities determined from local variables must conform to a family of inequalities. In this work we show that a classical model containing a local…

量子物理 · 物理学 2008-06-22 A. Matzkin

We give the complete list of 175 facet Bell inequalities for the case where Alice and Bob each choose their measurements from a set of four binary outcome measurements. For each inequality we compute the maximum quantum violation for…

量子物理 · 物理学 2019-02-13 E. Zambrini Cruzeiro , N. Gisin

Measurements in quantum theory can fail to be jointly measurable. Like entanglement, this incompatibility of measurements is necessary but not sufficient for violating Bell inequalities. The (in)compatibility relations among a set of…

量子物理 · 物理学 2024-11-21 Shiv Akshar Yadavalli , Nikola Andrejic , Ravi Kunjwal

In order to understand the characteristics of quantum entanglement of massive particles under Lorentz boost, we first introduce a relevant relativistic spin observable, and evaluate its expectation values for the Bell states under Lorentz…

量子物理 · 物理学 2016-09-08 Daeho Lee , Ee Chang-Young

We show that Bell inequalities can be violated in the macroscopic world. The macroworld violation is illustrated using an example involving connected vessels of water. We show that whether the violation of inequalities occurs in the…

量子物理 · 物理学 2022-10-12 Diederik Aerts , Sven Aerts , Jan Broekaert , Liane Gabora

We argue that for the proof of Bell's theorem no assumptions about realism or free will are necessary. The key formula \[E(AB|a,b) = \int A(a,b,\lambda)B(a,b,\lambda)\rho(\lambda) d\lambda\] follows from the logic of plausible reasoning…

综合物理 · 物理学 2018-05-04 I. Schmelzer

This paper provides a systematic analysis of Bell experiments from the relational perspective, demonstrating that the apparent ``nonlocality'' of quantum mechanics stems from a problematic application of relativistic principles rather than…

量子物理 · 物理学 2025-09-11 Jan van Neerven , Marijn Waaijer

By implicitly assuming that all possible Bell-measurements occur simultaneously, all proofs of Bell's Theorem violate Heisenberg's Uncertainty Principle. This assumption is made in the original form of Bell's inequality, in Wigner's…

量子物理 · 物理学 2007-05-23 Michael Clover

According to Bell's theorem, the degree of correlation between spatially separated measurements on a quantum system is limited by certain inequalities if one assumes the condition of locality. Quantum mechanics predicts that this limit can…

量子物理 · 物理学 2016-09-08 A. Venugopalan , Deepak Kumar , R. Ghosh

Derivations of two Bell's inequalities are given in a form appropriate to the interpretation of experimental data for explicit determination of all the correlations. They are arithmetic identities independent of statistical reasoning and…

量子物理 · 物理学 2009-11-07 Louis Sica

The Einstein Equivalence Principle (EEP) carries a pivotal role in understanding theory of gravity and spacetime. It guarantees the gravity to be understood as geometric phenomenon. Considering gravitational coupling of matter in the…

广义相对论与量子宇宙学 · 物理学 2021-07-21 ChengGang Qin , YuJie Tan , ChengGang Shao

Asymmetric steering is an effect whereby an inseparable bipartite system can be found to be described by either quantum mechanics or local hidden variable theories depending on which one of Alice or Bob makes the required measurements. We…

量子物理 · 物理学 2015-05-13 S. L. W. Midgley , A. J. Ferris , M. K. Olsen

Besides well-known conditions of locality or factorisability, deriving the Bell inequalities requires assuming that the distribution of hidden variables and Alice's and Bob's measurement settings be independent of each other. We show that…

量子物理 · 物理学 2026-02-13 G. Bacciagaluppi , R. Hermens , G. Leegwater

The EPR paradox and the meaning of the Bell inequality are discussed. It is shown that considering the quantum objects as carrying with them ''instruction kits'' telling them what to do when meeting a measurement apparatus any paradox…

量子物理 · 物理学 2009-10-31 A. Tartaglia

We consider the possibility of using measurements of anomalous magnetic moments of elementary particles as a possible test of the Einstein Equivalence Principle (EEP). For the class non-metric theories of gravity described by the \tmu…

广义相对论与量子宇宙学 · 物理学 2009-10-28 C. Alvarez , R. B. Mann

The Clauser-Horne-Shimony-Holt (CHSH) inequality (and its permutations), are necessary and sufficient criteria for Bell nonlocality in the simplest Bell-nonlocality scenario: 2 parties, 2 measurements per party and 2 outcomes per…

量子物理 · 物理学 2015-06-30 Eric G. Cavalcanti , Christopher J. Foster , Maria Fuwa , Howard M. Wiseman