Einstein-Podolsky-Rosen Paradox and Certain Aspects of Quantum Cryptology with Some Applications

2014 ◽  
pp. 1579-1587
Author(s):  
Narayanankutty Karuppath ◽  
P. Achuthan

The developments in quantum computing or any breakthrough in factorization algorithm would have far-reaching consequences in cryptology. For instance, Shor algorithm of factorizing in quantum computing might render the RSA type classical cryptography almost obsolete since it mainly depends on the computational complexity of factorization. Therefore, quantum cryptography is of immense importance and value in the modern context of recent scientific revolution. In this chapter, the authors discuss in brief certain fascinating aspects of Einstein-Podolsky-Rosen (EPR) paradox in the context of quantum cryptology. The EPR protocol and its connections to the famous Bell's inequality are also considered in here.

Author(s):  
Narayanankutty Karuppath ◽  
P. Achuthan

The developments in quantum computing or any breakthrough in factorization algorithm would have far-reaching consequences in cryptology. For instance, Shor algorithm of factorizing in quantum computing might render the RSA type classical cryptography almost obsolete since it mainly depends on the computational complexity of factorization. Therefore, quantum cryptography is of immense importance and value in the modern context of recent scientific revolution. In this chapter, the authors discuss in brief certain fascinating aspects of Einstein-Podolsky-Rosen (EPR) paradox in the context of quantum cryptology. The EPR protocol and its connections to the famous Bell’s inequality are also considered in here.


1998 ◽  
Vol 51 (5) ◽  
pp. 835 ◽  
Author(s):  
Johannes F. Geurdes

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.


2003 ◽  
Vol 01 (01) ◽  
pp. 93-114 ◽  
Author(s):  
HIROAKI TERASHIMA ◽  
MASAHITO UEDA

We formulate the Einstein-Podolsky-Rosen (EPR) gedankenexperiment within the framework of relativistic quantum theory to analyze a situation in which measurements are performed by moving observers. We point out that under certain conditions the perfect anti-correlation of an EPR pair of spins in the same direction deteriorates in the moving observers' frame due to the Wigner rotation, and show that the degree of the violation of Bell's inequality prima facie decreases with increasing velocity of the observers if the directions of the measurement are fixed. However, this does not imply a breakdown of non-local correlation since the perfect anti-correlation is maintained in appropriately chosen different directions. When considering moving frames we must take account of this relativistic effect on the EPR correlation and on the violation of Bell's inequality for quantum communication.


1993 ◽  
Vol 40 (8) ◽  
pp. 1443-1448 ◽  
Author(s):  
Stephen M. Barnett ◽  
Simon J.D. Phoenix

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