English

A potential multipartide entanglement measure

Quantum Physics 2009-11-06 v1

Abstract

We discuss entanglement of multiparticle quantum systems. We propose a potential measure of a type of entanglement of pure states of n qubits, the n-tangle. For a system of two qubits the n-tangle is equal to the square of the concurrence, and for systems of three qubits it is equal to the ''residual entanglement''. We show that the n -tangle, is also equal to the generalization of concurrence squared for even n, and use this fact to prove that the n-tangle is an entanglement monotone. However, the n-tangle is undefined for odd n>3. Finally we propose a measure related to the n-tangle for mixed state systems of n qubits, and find an analytical formula for this measure for even n.

Keywords

Cite

@article{arxiv.quant-ph/0010052,
  title  = {A potential multipartide entanglement measure},
  author = {Alexander Wong and Nelson Christensen},
  journal= {arXiv preprint arXiv:quant-ph/0010052},
  year   = {2009}
}