A potential multipartide entanglement measure

Details A potential multipartide entanglement measure A potential multipartide entanglement measure

2000-10-13

arxiv.org/abs/quant-ph/0010052v1

Physical Review A, Vol. 63, 044301 (2001)

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.63.044301

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.

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