The n-tangle of odd n qubits

Details The n-tangle of odd n qubits The n-tangle of odd n qubits

2009-12-04

arxiv.org/abs/0912.0812v3

Quantum Inf Process 11, 481-492 (2012)

Physics

Quantum Physics

7 pages, no figures

Scientific paper

Coffman, Kundu and Wootters presented the 3-tangle of three qubits in [Phys. Rev. A 61, 052306 (2000)]. Wong and Christensen extended the 3-tangle to even number of qubits, known as $n$-tangle [Phys. Rev. A 63, 044301 (2001)]. In this paper, we propose a generalization of the 3-tangle to any odd $n$-qubit pure states and call it the $n$-tangle of odd $n$ qubits. We show that the $n$-tangle of odd $n$ qubits is invariant under permutations of the qubits, and is an entanglement monotone. The $n$-tangle of odd $n$ qubits can be considered as a natural entanglement measure of any odd $n$-qubit pure states.

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