Finite size effects in entangled rings of qubits

Details Finite size effects in entangled rings of qubits Finite size effects in entangled rings of qubits

2003-08-14

arxiv.org/abs/quant-ph/0308082v1

Int. J. Quant. Inf. 2, 149 (2004)

Physics

Quantum Physics

RevTeX4, 14 pages, 4 figures

Scientific paper

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.

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