scholarly journals Review on investigating the possibility of local hidden variable theories-quantum teleportation

2018 ◽  
Vol 6 (1) ◽  
pp. 1
Author(s):  
Dorcas Attuabea Addo ◽  
Steven Abel ◽  
Richard Kwame Ansah ◽  
Isaac Nkrumah
Keyword(s):  
Single Particle ◽  
Quantum Teleportation ◽  
Entangled State ◽  
Bell’S Inequality ◽  
Variable Theory ◽  
Bell's Inequality ◽  
Hidden Variable ◽  
Hidden Variable Theories ◽  
Nonlocal Nature ◽  
Local Hidden Variable

The core of the paper was to investigate the possibility of local hidden variable theory and its application in quantum teleportation. We reviewed literature on the Bell's inequality which is necessary for quantum teleportation. Quantum teleportation utilises a single-particle entangled state which can be successfully achieved by the application of the locality assumption which leads to Bell's inequality. A violation of the Bell's inequality signifies the nonlocal nature of a single particle useful for quantum teleportation.

On hidden-variable theories and Bell's inequality

1972 ◽  
Vol 5 (2) ◽  
pp. 177-181 ◽  
Author(s):  
L. de la Peña ◽  
A. M. Cetto ◽  
T. A. Brody
Keyword(s):  
Bell’S Inequality ◽  
Bell's Inequality ◽  
Hidden Variable ◽  
Hidden Variable Theories

scholarly journals Wigner’s Variant of Bell’s Inequality

1998 ◽  
Vol 51 (5) ◽  
pp. 835 ◽  
Author(s):  
Johannes F. Geurdes
Keyword(s):  
Bell’S Inequality ◽  
Bell's Inequality ◽  
Hidden Variable ◽  
Einstein Podolsky Rosen ◽  
Local Hidden Variable

It is shown that Wigner’s variant of Bell’s inequality does not exclude all local hidden variable explanations of the Einstein–Podolsky–Rosen problem.

scholarly journals QUANTUM TELEPORTATION WITH PAIR-COHERENT STATES

2007 ◽  
Vol 05 (01n02) ◽  
pp. 17-22 ◽  
Author(s):  
AURÉL GÁBRIS ◽  
GIRISH S. AGARWAL
Keyword(s):  
Coherent State ◽  
Quantum Teleportation ◽  
Coherent States ◽  
Continuous Variable ◽  
Quantum Mechanical ◽  
Variable Theory ◽  
Hidden Variable ◽  
Mechanical Explanation ◽  
Pair Coherent State ◽  
Local Hidden Variable

Recently, it has been argued that all presently performed continuous variable quantum teleportation experiments could be explained using a local hidden variable theory. In this paper, we study a modification of the original protocol which requires a fully quantum mechanical explanation even when coherent states are teleported. Our calculations of the fidelity of teleportation using a pair-coherent state under ideal conditions suggest that fidelity above the required limit of 1/2 may be achievable in an experiment also.

scholarly journals GALOIS FIELD QUANTUM MECHANICS

2013 ◽  
Vol 27 (10) ◽  
pp. 1350064 ◽  
Author(s):  
LAY NAM CHANG ◽  
ZACHARY LEWIS ◽  
DJORDJE MINIC ◽  
TATSU TAKEUCHI
Keyword(s):  
Quantum Mechanics ◽  
Vector Space ◽  
Galois Field ◽  
Bell’S Inequality ◽  
Variable Theory ◽  
Bell's Inequality ◽  
Hidden Variable

We construct a discrete quantum mechanics (QM) using a vector space over the Galois field GF(q). We find that the correlations in our model do not violate the Clauser–Horne–Shimony–Holt (CHSH) version of Bell's inequality, despite the fact that the predictions of this discrete QM cannot be reproduced with any hidden variable theory.

scholarly journals Single-copy activation of Bell nonlocality via broadcasting of quantum states

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 499
Author(s):  
Joseph Bowles ◽  
Flavien Hirsch ◽  
Daniel Cavalcanti
Keyword(s):  
Single Copy ◽  
Quantum Correlations ◽  
The State ◽  
Mixed States ◽  
Variable Model ◽  
Variable Theory ◽  
Hidden Variable ◽  
Bell Nonlocality ◽  
Nonlocal Nature ◽  
Local Hidden Variable

Activation of Bell nonlocality refers to the phenomenon that some entangled mixed states that admit a local hidden variable model in the standard Bell scenario nevertheless reveal their nonlocal nature in more exotic measurement scenarios. We present such a scenario that involves broadcasting the local subsystems of a single-copy of a bipartite quantum state to multiple parties, and use the scenario to study the nonlocal properties of the two-qubit isotropic state:ρα=α|Φ+⟩⟨Φ+|+(1−α)14.We present two main results, considering that Nature allows for (i) the most general no-signalling correlations, and (ii) the most general quantum correlations at the level of any hidden variable theory. We show that the state does not admit a local hidden variable description for α>0.559 and α>12, in cases (i) and (ii) respectively, which in both cases provides a device-independent certification of the entanglement of the state. These bounds are significantly lower than the previously best-known bound of 0.697 for both Bell nonlocality and device-independent entanglement certification using a single copy of the state. Our results show that strong examples of non-classicality are possible with a small number of resources.

scholarly journals On local-hidden-variable no-go theorems

2006 ◽  
Vol 84 (6-7) ◽  
pp. 633-638 ◽  
Author(s):  
A A Méthot
Keyword(s):  
Quantum Mechanics ◽  
Hidden Variables ◽  
Complete Theory ◽  
Variable Theory ◽  
Hidden Variable ◽  
Similarities And Differences ◽  
Hidden Variable Theories ◽  
03.65 Ud ◽  
Local Hidden Variable

The strongest attack against quantum mechanics came in 1935 in the form of a paper by Einstein, Podolsky, and Rosen. It was argued that the theory of quantum mechanics could not be called a complete theory of Nature, for every element of reality is not represented in the formalism as such. The authors then put forth a proposition: we must search for a theory where, upon knowing everything about the system, including possible hidden variables, one could make precise predictions concerning elements of reality. This project was ultimately doomed in 1964 with the work of Bell, who showed that the most general local hidden variable theory could not reproduce correlations that arise in quantum mechanics. There exist mainly three forms of no-go theorems for local hidden variable theories. Although almost every physicist knows the consequences of these no-go theorems, not every physicist is aware of the distinctions between the three or even their exact definitions. Thus, we will discuss here the three principal forms of no-go theorems for local hidden variable theories of Nature. We will define Bell theorems, Bell theorems without inequalities, and pseudo-telepathy. A discussion of the similarities and differences will follow. PACS Nos.: 03.65.–w, 03.65.Ud, 03.65.Ta

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