arXiv:1711.04230

Multipartite entanglement of fermionic systems in noninertial frames revisited

Wen-Chao Qiang, Guo-Hua Sun, Oscar Camacho-Nieto, Shi‐Hai Dong

Published Nov 12, 2017• 2 citations

Abstract

In this work we have revisited a few principal formulae about one-tangle of multipartite entanglement of fermionic systems in noninertial frames calculated in the paper [Phys. Rev. A 83, 022314(2011)] and given their correct expressions.

DOI: 10.48550/arxiv.1711.04230

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arXiv:1711.04230

Multipartite entanglement of fermionic systems in noninertial frames revisited

Wen-Chao Qiang, Guo-Hua Sun, Oscar Camacho-Nieto, Shi‐Hai Dong

Published Nov 12, 2017• 2 citations

arXiv HTML PDF

Abstract

DOI: 10.48550/arxiv.1711.04230

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{\mathcal{N}}_{{C}_{I}({\mathrm{AB}}_{I})}

and

{\mathcal{N}}_{{C}_{I}(\mathrm{AB})}

never reduce to zero for any acceleration. It is found that the system has only tripartite entanglement when either one or two subsystems accelerate, which means that the acceleration does not generate bipartite entanglement and does not affect the entanglement structure of the quantum states in this system. It is of interest to note that the $\ensuremath{\pi}$-tangle of the two-observer-accelerated case decreases much quicker than that of the one-observer-accelerated case and it reduces to a nonzero minimum in the infinite-acceleration limit. Thus we argue that the qutrit systems are better than qubit systems in performing quantum information processing tasks in noninertial systems.

a

of W-State, we find that the one-tangle, two-tangle, and

π

-tangle decrease when the acceleration parameter

r

increases, and the two-tangle cannot arrive to infinity of the acceleration. Next we show that the one qubit goes in a uniform acceleration

a_{1}

and the other two undergo in a uniform acceleration

a

of GHZ-state, we find that the two-tangle is equal to zero and

N_{B_I (A_I C_I)} = N_{C_I (A_I B_I)}\neq N_{A_I (B_I C_I)}

, but one-tangle and

π

-tangle never reduce to zero for any acceleration.