English

Finite size effects in entangled rings of qubits

Quantum Physics 2007-05-23 v1

Abstract

We study translationally invariant rings of qubits with a finite number of sites N, and find the maximal nearest-neighbor entanglement for a fixed z component of the total spin. For small numbers of sites our results are analytical. The use of a linearized version of the concurrence allows us to relate the maximal concurrence to the ground state energy of an XXZ spin model, and to calculate it numerically for N<25. We point out some interesting finite-size effects. Finally, we generalize our results beyond nearest neighbors.

Keywords

Cite

@article{arxiv.quant-ph/0308082,
  title  = {Finite size effects in entangled rings of qubits},
  author = {T. Meyer and U. V. Poulsen and K. Eckert and M. Lewenstein and D. Bruss},
  journal= {arXiv preprint arXiv:quant-ph/0308082},
  year   = {2007}
}

Comments

RevTeX4, 14 pages, 4 figures

R2 v1 2026-07-22T19:40:39.725Z