Violating Bell inequality using weak coherent states

2021 ◽  
Author(s):  
Seyed Rafsanjani ◽  
Moslem Mahdavifar
Keyword(s):  
Coherent States ◽  
Bell Inequality

Maximal violations of a Bell inequality by entangled spin-coherent states

2009 ◽  
Vol 79 (2) ◽  
Author(s):  
Christopher C. Gerry ◽  
Adil Benmoussa ◽  
Edwin E. Hach ◽  
Jaroslav Albert
Keyword(s):  
Coherent States ◽  
Bell Inequality ◽  
Spin Coherent States

scholarly journals Einstein-Podolsky-Rosen Steering for Mixed Entangled Coherent States

Entropy ◽  
2021 ◽  
Vol 23 (11) ◽  
pp. 1442
Author(s):  
Sayed Abdel-Khalek ◽  
Kamal Berrada ◽  
Mariam Algarni ◽  
Hichem Eleuch
Keyword(s):  
Coherent States ◽  
Temporal Evolution ◽  
Bell Inequality ◽  
Dynamical Behavior ◽  
Photon Number ◽  
Einstein Podolsky Rosen ◽  
Quantum Steering ◽  
Bell Nonlocality ◽  
The Relationship ◽  
Entangled Coherent States

By using the Born Markovian master equation, we study the relationship among the Einstein–Podolsky–Rosen (EPR) steering, Bell nonlocality, and quantum entanglement of entangled coherent states (ECSs) under decoherence. We illustrate the dynamical behavior of the three types of correlations for various optical field strength regimes. In general, we find that correlation measurements begin at their maximum and decline over time. We find that quantum steering and nonlocality behave similarly in terms of photon number during dynamics. Furthermore, we discover that ECSs with steerability can violate the Bell inequality, and that not every ECS with Bell nonlocality is steerable. In the current work, without the memory stored in the environment, some of the initial states with maximal values of quantum steering, Bell nonlocality, and entanglement can provide a delayed loss of that value during temporal evolution, which is of interest to the current study.

scholarly journals SU(1,1) parity and strong violations of a Bell inequality by entangled Barut–Girardello coherent states

2018 ◽  
Vol 35 (10) ◽  
pp. 2433 ◽  
Author(s):  
Edwin E. Hach ◽  
Richard Birrittella ◽  
Paul M. Alsing ◽  
Christopher C. Gerry
Keyword(s):  
Coherent States ◽  
Bell Inequality

scholarly journals Spin coherent states, Bell states, spin Hamilton operators, entanglement, Husimi distribution, uncertainty relation and Bell inequality

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Dylan Durieux ◽  
Willi-Hans Steeb
Keyword(s):  
Coherent States ◽  
Uncertainty Relation ◽  
Bell Inequality ◽  
Bell States ◽  
Husimi Distribution ◽  
Spin Coherent States

Abstract We investigate spin Hamilton operators and compare spin coherent states and Bell states concerning entanglement, Husimi distributions, uncertainty relation and Bell inequality. The distances between spin coherent states and Bell states are derived. The Rayleigh quotients of spin Hamilton operators for spin coherent states and Bell states are evaluated and compared.

Gazeau- Klouder Coherent states on a sphere

2019 ◽  
Vol 19 (2) ◽  
pp. 379-390
Author(s):  
Z Heibati ◽  
A Mahdifar ◽  
E Amooghorban ◽  
◽  
◽  
...  
Keyword(s):  
Coherent States

scholarly journals Semi-Classical Localisation Properties of Quantum Oscillators on a Noncommutative Configuration Space

2015 ◽  
Vol 22 (04) ◽  
pp. 1550021 ◽  
Author(s):  
Fabio Benatti ◽  
Laure Gouba
Keyword(s):  
Phase Space ◽  
Configuration Space ◽  
Classical Limit ◽  
Coherent States ◽  
Point Of View ◽  
Quantum Mechanical ◽  
Wigner Functions ◽  
Quantum Mechanical Oscillators ◽  
Mechanical Oscillators ◽  
Space Noncommutativity

When dealing with the classical limit of two quantum mechanical oscillators on a noncommutative configuration space, the limits corresponding to the removal of configuration-space noncommutativity and position-momentum noncommutativity do not commute. We address this behaviour from the point of view of the phase-space localisation properties of the Wigner functions of coherent states under the two limits.

scholarly journals Joseph Fourier 250thBirthday: Modern Fourier Analysis and Fourier Heat Equation in Information Sciences for the XXIst Century

Entropy ◽  
2019 ◽  
Vol 21 (3) ◽  
pp. 250
Author(s):  
Frédéric Barbaresco ◽  
Jean-Pierre Gazeau
Keyword(s):  
Fourier Analysis ◽  
Heat Equation ◽  
Harmonic Analysis ◽  
Lie Groups ◽  
Coherent States ◽  
Geometric Theory ◽  
Plancherel Formula ◽  
Group Representations ◽  
Modern Development ◽  
Xxist Century

For the 250th birthday of Joseph Fourier, born in 1768 at Auxerre in France, this MDPI special issue will explore modern topics related to Fourier analysis and Fourier Heat Equation. Fourier analysis, named after Joseph Fourier, addresses classically commutative harmonic analysis. The modern development of Fourier analysis during XXth century has explored the generalization of Fourier and Fourier-Plancherel formula for non-commutative harmonic analysis, applied to locally compact non-Abelian groups. In parallel, the theory of coherent states and wavelets has been generalized over Lie groups (by associating coherent states to group representations that are square integrable over a homogeneous space). The name of Joseph Fourier is also inseparable from the study of mathematics of heat. Modern research on Heat equation explores geometric extension of classical diffusion equation on Riemannian, sub-Riemannian manifolds, and Lie groups. The heat equation for a general volume form that not necessarily coincides with the Riemannian one is useful in sub-Riemannian geometry, where a canonical volume only exists in certain cases. A new geometric theory of heat is emerging by applying geometric mechanics tools extended for statistical mechanics, for example, the Lie groups thermodynamics.

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