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Paweł Caban1, Beatrix C Hiesmayr2

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Area of Science:

  • Quantum Information Theory
  • Quantum Entanglement
  • Relativistic Quantum Information

Background:

  • Bound entanglement is a type of quantum entanglement that cannot be distilled into maximally entangled states by local operations and classical communication.
  • Classifying entanglement properties typically assumes a stationary frame of reference.

Purpose of the Study:

  • To investigate whether relativistic observers classify quantum states (separable, bound entangled, free entangled) in the same manner as unboosted observers.
  • To determine if the entanglement properties of a quantum system change under relativistic transformations (boosts).

Main Methods:

  • Analysis of quantum states under Lorentz boosts, considering both momenta and spin degrees of freedom.
  • Comparison of entanglement classification in different inertial frames of reference.

Main Results:

  • Relativistic observers do not always classify quantum states in the same way as stationary observers.
  • A quantum state initially classified as bound entangled in one frame can be observed as bound entangled, separable, or free entangled in another frame.
  • The entanglement properties of a quantum system are frame-dependent.

Conclusions:

  • The classification of entanglement, particularly bound entanglement, is not invariant under relativistic boosts.
  • Frame-dependent entanglement properties complicate the search for a universal measure of entanglement.
  • This research highlights the interplay between quantum mechanics and special relativity in characterizing entanglement.