Quantum entanglement in three accelerating qubits coupled to scalar fields

Abstract

We consider quantum entanglement of three accelerating qubits, each of which is locally coupled with a real scalar field, without causal influence among the qubits or among the fields. The initial states are assumed to be the GHZ and the W states, which are the two representative three-partite entangled states. For each initial state, we study how various kinds of entanglement depend on the accelerations of the three qubits. All kinds of entanglement eventually suddenly die if at least two of three qubits have large enough accelerations. This result implies eventual sudden death of all kinds of entanglement among three particles coupled with scalar fields when they are sufficiently close to the horizon of a black hole.

Quantum coherence and distribution of N-partite bosonic fields in noninertial frame

“…Apart from the pure quantum-mechanical aspect, it is also important to study quantum resource under the relativistic framework [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. It is not only an interesting theoretical topic from the view of noninertial observers, but also a very practical consideration, because many modern experiments about quantum information involve relativistic photons or particles [31,32].…”

“…In the past years, the effect of Unruh radiation on quantum fields was studied extensively. It was shown that the entanglement of fermionic fields degrades and approaches to a finite value under the infinite acceleration limit [20][21][22][23][24][25][26][27], but the entanglement of bosonic fields vanishes in the infinite acceleration limit [15][16][17][18]. The quantum coherence for multipartite Dirac fields was also studied and the phenomenon of freeze was found [33].…”

Genuine tripartite nonlocality and entanglement in curved spacetime

“…Bipartite entanglement under the joint influence of both environmental noise and Unruh effect [31,32] was also studied. Besides bipartite systems, tripartite entanglement in the relativistic framework was also investigated [33][34][35][36][37][38][39]. Note that, in these works, the measure of GTE is based on the concept of logarithmic negativity [40,41], and the measure of GTE based on concurrence [42,43] was not used in Schwarzschild spacetime.…”

Pairwise mode entanglement in Schwinger production of particle-antiparticle pairs in an electric field

“…As usual [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37], the in vacuum can be expanded in terms of the out states of modes k and −k,…”

“…Some concepts developed in quantum information theory have been applied to quantum states near a black hole [27][28][29][30][31][32] and in an expanding universe [33][34][35][36]. This effort has also been extended to Schwinger effect, and the entanglement between one Dirac mode and the rest of the system was calculated [37].…”