Convergence of fermionic-field entanglement at infinite acceleration in relativistic quantum information

Abstract

We provide a simple argument showing that, in the limit of infinite acceleration, the entanglement in a fermionic field bipartite system must be independent of the choice of Unruh modes. This implies that most tensor product structures used previously to compute field entanglement in relativistic quantum information cannot give rise to physical results.

Quantum coherence behaviors of fermionic system in non-inertial frame

“…Here, we will apply the physical structure suggested by Ref. [22,23] that the ordering of the fermionic system should be rearranged by the sequence of particles and antiparticles in the separated region.…”

Quantum teleportation in terms of Dirac modes between accelerated observers

“…Because of the Unruh effect [6][7][8], entanglement between field modes degrades when at least one of the modes is observed by an accelerated observer [9][10][11][12][13][14][15][16][17][18][19][20][21]. Entanglement between two Dirac modes when one observer accelerates while the other moves uniformly was studied, indicating that the entanglement degrades with the acceleration.…”

“…Entanglement between two Dirac modes when one observer accelerates while the other moves uniformly was studied, indicating that the entanglement degrades with the acceleration. However, in contrast to the boson modes, whose entanglement approaches zero in the infinite acceleration limit [14][15][16][17][18][19][20][21], the Dirac modes have finite residual entanglement in this limit [9][10][11][12][13][14][15][16][17][18]. The case that two observers have the same acceleration was also studied, and by using the Bell states as the initial states, it was found that entanglement degradation depends on both the particle statistics and the initial state [15].…”

Entanglement harvesting and divergences in quadratic Unruh-DeWitt detector pairs

“…It is known from fundamental studies that there are differences between the entanglement structure of the vacuum of fermionic and bosonic fields [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41]. However, a study of entanglement harvesting in fermionic setups has never been performed.…”

“…However, a study of entanglement harvesting in fermionic setups has never been performed. A study of detector-based entanglement harvesting from a fermionic vacuum could resolve ambiguities in defining entanglement measures between disjoint regions of a fermionic field [32,[35][36][37][38][39][40][41]. The reasons why this has not been done can be traced back to fundamental difficulties associated with particle detector models for fermionic fields.…”