scholarly journals Einstein-Podolsky-Rosen correlation seen from moving observers

2003 ◽  
Vol 3 (3) ◽  
pp. 224-228
Author(s):  
H. Terashima ◽  
M. Ueda
Keyword(s):  
Quantum Theory ◽  
Quantum Communication ◽  
Relativistic Quantum ◽  
Entangled State ◽  
Local Correlation ◽  
Relativistic Quantum Theory ◽  
Gedanken Experiment ◽  
Einstein Podolsky Rosen ◽  
Non Local ◽  
Epr Pair

Within the framework of relativistic quantum theory, we consider the Einstein-Podolsky-Rosen (EPR) gedanken-experiment in which measurements of the spin are performed by moving observers. We find that the perfect anti-correlation in the same direction between the EPR pair no longer holds in the observers' frame. This does not imply a breakdown of the non-local correlation. We explicitly show that the observers must measure the spin in appropriately chosen different directions in order to observe the perfect anti-correlation. This fact should be taken into account in utilizing the entangled state in quantum communication by moving observers.

scholarly journals RELATIVISTIC EINSTEIN-PODOLSKY-ROSEN CORRELATION AND BELL'S INEQUALITY

2003 ◽  
Vol 01 (01) ◽  
pp. 93-114 ◽  
Author(s):  
HIROAKI TERASHIMA ◽  
MASAHITO UEDA
Keyword(s):  
Relativistic Effect ◽  
Relativistic Quantum ◽  
Prima Facie ◽  
Bell’S Inequality ◽  
Moving Frames ◽  
Wigner Rotation ◽  
Relativistic Quantum Theory ◽  
Bell's Inequality ◽  
Einstein Podolsky Rosen ◽  
Non Local

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.

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