International Journal of Theoretical Physics

, Volume 58, Issue 12, pp 4152–4169 | Cite as

Entanglement of Semi-Bell States in Non-Inertial Frames

  • Leili EsmaeilifarEmail author
  • Zeynab Harsij
  • Behrouz Mirza


Semi-Bell states are exploited for storing and sending information in non-inertial frames. In this paper, we consider four types of semi-bell states, \(|{\varPhi }_{\alpha }^{\pm }\rangle =\alpha |0\rangle |0\rangle \pm \sqrt {1-\alpha ^{2}}|1\rangle |1\rangle \) and \(|{\varPsi }_{\alpha }^{\pm }\rangle =\alpha |0\rangle |1\rangle \pm \sqrt {1-\alpha ^{2}}|1\rangle |0\rangle \), and study entanglements and other quantum correlations of these states from the viewpoint of an accelerated and an inertial observers by computing such measures as negativity, quantum coherence, and purity of these states. As expected, these measures degrade for semi-bell states with increasing acceleration. The states, however, exhibit different types of degradation depending on the statistics of the particles. Entanglement, coherence, and purity of bosonic states degrade more rapidly than do states with fermionic statistics. A duality exists in the measures of the two types of semi-bell states and for the maximally entangled states (\(\alpha =\frac {1}{\sqrt {2}}\)), there is no difference between the measures of \(|{\varPhi }_{\alpha }^{\pm }\rangle \) and \(|{\varPsi }_{\alpha }^{\pm }\rangle \). In the fermionic case, differences of the measures between the \(|{\varPhi }_{\alpha }^{\pm }\rangle \) and \(|{\varPsi }_{\alpha }^{\pm }\rangle \) states are greater for large values of acceleration, while in the bosonic case, their subtractions are larger for small values of acceleration.


Relativistic quantum information Entanglement Nonclassical correlation Non-inertial frames 



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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • Leili Esmaeilifar
    • 1
    Email author
  • Zeynab Harsij
    • 2
  • Behrouz Mirza
    • 2
  1. 1.Department of physicsInstitute for Advanced Studies in Basic Sciences (IASBS)ZanjanIran
  2. 2.Department of PhysicsIsfahan University of TechnologyIsfahanIran

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