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Area of Science:

  • Quantum Information Theory
  • Quantum Entanglement
  • Relativistic Quantum Information

Background:

  • Uniformly accelerating reference frames in quantum field theory present unique challenges for understanding quantum phenomena.
  • Minkowski states and their properties in non-inertial frames are crucial for relativistic quantum information.
  • Entanglement, a key quantum resource, is susceptible to environmental influences, including acceleration.

Purpose of the Study:

  • To derive analytical expressions for Minkowski states in uniformly accelerating reference frames.
  • To investigate the entanglement properties of Bell and Greenberger-Horne-Zeilinger (GHZ) states in these frames.
  • To quantify the impact of acceleration on quantum entanglement using negativity and von Neumann entropy.

Main Methods:

  • Application of the single-mode approximation to two distinct modes.
  • Analytical derivation of Minkowski states for ground and first excited states.
  • Calculation of entanglement measures, including negativity and von Neumann entropy.

Main Results:

  • Analytical expressions for Minkowski states in accelerating frames were obtained.
  • Entanglement degree of Bell and GHZ states decreases as acceleration parameters increase.
  • System stability, measured by von Neumann entropy, increases with the number of particles in the entangled system.

Conclusions:

  • Quantum entanglement is sensitive to acceleration, with its degree diminishing under increasing acceleration.
  • Multi-particle entangled systems exhibit enhanced stability in accelerating frames.
  • The study provides insights into the behavior of quantum entanglement in non-inertial reference frames, reducing to known results in the limit of zero acceleration.