Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

理论物理通讯：英文版

Entanglement in Spin-1／2 Dimerized Heisenberg Systems

SunZhe, WANGXiao-Guang, HUAn-Zi, LIYou-Quan

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

We study entanglement in dimerized Heisenberg systems. In particular, we give exact results of groundstate pairwise entanglement for the four-qubit model by identifying a Z2 symmetry. Although the entanglements cannot identify the critical point of the system, the mean entanglement of the nearest-neighbor qubits really does, namely, it reaches a maximum at the critical point.

Related papers

Entanglement in Spin-1/2 Dimerized Heisenberg Systems

Sun Zhe, Wang Xiao-Guang, Hu An-Zi +1 more

We study entanglement in dimerized Heisenberg systems. In particular, we give exact results of ground-state pairwise entanglement for the four-qubit model by identifying a Z 2 symmetry. Although the entanglements cannot identify the critical point of the system, the mean entanglement of the nearest-neighbor qubits really does, namely, it reaches a maximum at the critical point.

arXiv:quant-ph/0501117•Communications in Theoretical Physics•Jun 1, 2005•11 citations

Entanglement in spin-1/2 dimerized Heisenberg systems

Anzi Hu, You‐Quan Li, Sun, Zhe +1 more

We study entanglement in dimerized Heisenberg systems. In particular, we give exact results of ground-state pairwise entanglement for the four-qubit model by identifying a Z2 symmetry. Although the entanglements cannot identify the critical point of the system, the mean entanglement of nearest-neighbor qubits really does, namely, it reaches a maximum at the critical point.

•Jan 1, 2023•9 citations

Thermal and ground-state entanglement in Heisenberg XX qubit rings

Xiaoguang Wang

We study the entanglement of thermal and ground states in the Heisenberg $\mathrm{XX}$ qubit rings with a magnetic field. A general result is found that for even-number rings, pairwise entanglement between nearest-neighbor qubits is independent of both the sign of exchange interaction constants and the sign of magnetic fields. As an example we study the entanglement in the four-qubit model and find that the ground state of this model without magnetic fields is shown to be a four-body maximally entangled state measured by the square N-bit concurrence.

arXiv:quant-ph/0203141•Physical Review A•Sep 12, 2002•183 citations

An important property of entanglement: pairwise entanglement that can only be transferred by an entangled pair

Xi Xiao-Qiang, Liu Wu-Ming

Basing on the calculation of all the pairwise entanglement in the $n$ ($n \leq 6$)-qubit Heisenberg XX open chain with system impurity, we find an important result: pairwise entanglement can only be transferred through entangled pair. The non-nearest pairwise entanglement will has the possibility to exist as long as there has even number qubit in their middle. This point means that we can get longer distance entanglement in solid system.

arXiv:quant-ph/0609087•Chinese Physics•Jul 1, 2007•5 citations

PAIRWISE ENTANGLEMENT WITH SPIN IMPURITY

Xiao-yan Dong, Shiqun Zhu, Xiang Hao

The zero-temperature pairwise entanglement is investigated in the antiferromagnetic Heisenberg chain with one impure spin s. The impurity location is varied from the open end to a mediate site of the spin chain. It is found that the pairwise entanglement is proportional to 1/s. This means that the entanglement will disappear in the classical systems as s → ∞. Compared to the isotropic Heisenberg chain without impurity, the efficient control of the spin coupling between the impurity spin and nearest-neighbor spins can enhance the pairwise entanglement.

Modern Physics Letters B•Mar 20, 2008•1 citation

Ground State Entanglement in Spin Systems

Hironori Yano, Hidetoshi Nishimori

We study the entanglement between arbitrary two spins in the XY and the antiferromagnetic Heisenberg spin chains in a uniform magnetic field.The entanglement of pairwise qubits in these models is obtained as a function of magnetic field by exact and numerical calculations.We find that the behavior of entanglement in the isotropic XY model is qualitatively the same as that in the Heisenberg model.Properties of entanglement length are also discussed.

Progress of Theoretical Physics Supplement•Jan 1, 2005•8 citations
We study entanglement in dimerized Heisenberg systems. In particular, we give exact results of groundstate pairwise entanglement for the four-qubit model by identifying a Z2 symmetry. Although the entanglements cannot identify the critical point of the system, the mean entanglement of the nearest-neighbor qubits really does, namely, it reaches a maximum at the critical point.
We study the entanglement of thermal and ground states in the Heisenberg XX\mathrm{XX}XX qubit rings with a magnetic field. A general result is found that for even-number rings, pairwise entanglement between nearest-neighbor qubits is independent of both the sign of exchange interaction constants and the sign of magnetic fields. As an example we study the entanglement in the four-qubit model and find that the ground state of this model without magnetic fields is shown to be a four-body maximally entangled state measured by the square N-bit concurrence.
Basing on the calculation of all the pairwise entanglement in the nnn (n≤6n \leq 6n≤6)-qubit Heisenberg XX open chain with system impurity, we find an important result: pairwise entanglement can only be transferred through entangled pair. The non-nearest pairwise entanglement will has the possibility to exist as long as there has even number qubit in their middle. This point means that we can get longer distance entanglement in solid system.
The zero-temperature pairwise entanglement is investigated in the antiferromagnetic Heisenberg chain with one impure spin s. The impurity location is varied from the open end to a mediate site of the spin chain. It is found that the pairwise entanglement is proportional to 1/s. This means that the entanglement will disappear in the classical systems as s → ∞. Compared to the isotropic Heisenberg chain without impurity, the efficient control of the spin coupling between the impurity spin and nearest-neighbor spins can enhance the pairwise entanglement.