Thermal and ground-state entanglement in Heisenberg XX qubit rings

By Xiaoguang Wang. 2002

153 citations recorded by the source corpus.

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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/31b6abf6b82dd3081c2556feb58ecd0b171507dd

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Entanglement in a Quantum Annealing Processor (2014, background): “[27] X.”
Entanglement in many-body systems (2007, background): “The concurrence, beyond nearest-neighbors, in isotropic Heisenberg antiferromagnets in an external magnetic field was discussed in (Arnesen et al., 2001; Fubini et al., 2006; Wang, 2002a).”