We study genuine tripartite entanglement shared among the spins of three localized fermions in the noninteracting Fermi gas at zero temperature. First, we prove analytically with the aid of entanglement witnesses that in a particular configuration the three fermions are genuinely tripartite entangled in spin. Then various three-fermion configurations are investigated in order to quantify and calculate numerically the amount of genuine tripartite entanglement present in the system. Further we give a lower and an upper limit to the maximum diameter of the three-fermion configuration below which genuine tripartite entanglement exists and find that this distance is comparable with the maximum separation between two entangled fermions. The upper and lower limit turn out to be very close to each other indicating that the applied witness operator is well suited to reveal genuine tripartite entanglement in the collection of noninteracting fermions.We study genuine tripartite entanglement shared among the spins of three localized fermions in the noninteracting Fermi gas at zero temperature. First, we prove analytically with the aid of entanglement witnesses that in a particular configuration the three fermions are genuinely tripartite entangled in spin. Then various three-fermion configurations are investigated in order to quantify and calculate numerically the amount of genuine tripartite entanglement present in the system. Further we give a lower and an upper limit to the maximum diameter of the three-fermion configuration below which genuine tripartite entanglement exists and find that this distance is comparable with the maximum separation between two entangled fermions. The upper and lower limit turn out to be very close to each other indicating that the applied witness operator is well suited to reveal genuine tripartite entanglement in the collection of noninteracting fermions.

arXiv:quant-ph/0701246Physical Review AApr 30, 200717 citations

Quantum entanglement in an interacting electron gas

S. Hamieh, Haitham Zaraket

The European Physical Journal DAug 4, 20094 citations

Entanglement of electrons in interacting molecules

Tina A. C. Maiolo, Fabio Della Sala, L. Martina +1 more

arXiv:quant-ph/0610238Theoretical and Mathematical PhysicsAug 1, 20078 citations

Entanglement of electron spins of noninteracting electron gases

Sangchul Oh, Jaewan Kim

We study entanglement of electron spins in many-body systems based on the Green's function approach. As an application we obtain the two-particle density matrix of a noninteracting electron gas and identify its two-spin density matrix as a Werner state. We calculate entanglement measures, a classical correlation, mutual information, and a pair-distribution function of two electrons at zero and finite temperatures. We find that changes of entanglement measures are proportional to ${T}^{2}$ at low temperatures.We study entanglement of electron spins in many-body systems based on the Green's function approach. As an application we obtain the two-particle density matrix of a noninteracting electron gas and identify its two-spin density matrix as a Werner state. We calculate entanglement measures, a classical correlation, mutual information, and a pair-distribution function of two electrons at zero and finite temperatures. We find that changes of entanglement measures are proportional to ${T}^{2}$ at low temperatures.

arXiv:quant-ph/0403214Physical Review AMay 21, 200463 citations

Quantum discord of electron spins of noninteracting electron gases

X. S. Ma, Mu-Tian Cheng, Guang-Xing Zhao +1 more

The European Physical Journal DFeb 1, 20123 citations

{T}^{2}

at low temperatures.