N-qubit Entanglement Index and Classification

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dc.creatorWu, Ying
dc.date2002-11-21
dc.date.accessioned2026-07-07T06:05:34Z
dc.date.available2026-07-07T06:05:34Z
dc.descriptionWe show that all the N-qubit states can be classified as N entanglement classes each of which has an entanglement index $E=N-p=0,1,...,N-1$(E=0 corresponds to a fully separate class) where $p$ denotes number of groups for a partition of the positive integer N. In other words, for any partition $(n_1,n_2,...,n_p)$ of N with $n_j\ge 1$ and $N=\sum_{j=1}^{p}n_j$, the entanglement index for the corresponding state $ρ_{n_1}\bigotimesρ_{n_2}...\bigotimes ρ_{n_p}$ with $ρ_{n_j}$ denoting a fully entangled state of $n_j-$qubits is $E(ρ_{n_1}\bigotimesρ_{n_2}...\bigotimes ρ_{n_p})=\sum_{j=1}^{p}(n_j-1)=N-p$.
dc.description2 pages, submitted
dc.identifierhttps://arxiv.org/abs/quant-ph/0211139
dc.identifierhttp://arxiv.org/abs/quant-ph/0211139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90675
dc.subjectQuantum Physics
dc.titleN-qubit Entanglement Index and Classification
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