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Variation of the von Neumann entropy by the Lorentz transformation isdiscussed. Taking the spin-singlet state in the center of mass frame, the vonNeumann entropy in the laboratory frame is calculated from the reduced densitymatrix obtained by taking the trace over 4-momentum after the Lorentztransformation. As the model to discuss the EPR spin correlation, it issupposed that one parent particle splits into a superposition state of variouspair states in various directions. Computing the von Neumann entropy and theShannon entropy, we have shown a global behavior of the entropy to see arelativistic effect. We discuss also the super-relativistic limit,distinguishability between the two particles of the pair and so on.

The von Neumann Entropy of EPR Spin Correlation for the Relativistic Pairs