An entanglement measure for n-qubits

Details An entanglement measure for n-qubits An entanglement measure for n-qubits

2007-10-18

arxiv.org/abs/0710.3425v3

Journal of mathematical physics 50, 012104 (2009)

Physics

Quantum Physics

16 pages, no figures

Scientific paper

Recently, Coffman, Kundu, and Wootters introduced the residual entanglement for three qubits to quantify the three-qubit entanglement in Phys. Rev. A 61, 052306 (2000). In Phys. Rev. A 65, 032304 (2007), we defined the residual entanglement for $n$ qubits, whose values are between 0 and 1. In this paper, we want to show that the residual entanglement for $n$ qubits is a natural measure of entanglement by demonstrating the following properties. (1). It is SL-invariant, especially LU-invariant. (2). It is an entanglement monotone. (3). It is invariant under permutations of the qubits. (4). It vanishes or is multiplicative for product states.

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