dorsal/arxiv
View SchemaN-qubit Entanglement Index and Classification
| Authors | Ying Wu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211139 |
| URL | https://arxiv.org/abs/quant-ph/0211139 |
Abstract
We 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 $\rho_{n_1}\bigotimes\rho_{n_2}...\bigotimes \rho_{n_p}$ with $\rho_{n_j}$ denoting a fully entangled state of $n_j-$qubits is $E(\rho_{n_1}\bigotimes\rho_{n_2}...\bigotimes \rho_{n_p})=\sum_{j=1}^{p}(n_j-1)=N-p$.
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"date_created": "2026-03-02T18:01:55.456000Z",
"date_modified": "2026-03-02T18:01:55.456000Z",
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"abstract": "We show that all the N-qubit states can be classified as N entanglement\nclasses each of which has an entanglement index $E=N-p=0,1,...,N-1$(E=0\ncorresponds to a fully separate class) where $p$ denotes number of groups for a\npartition of the positive integer N. In other words, for any partition\n$(n_1,n_2,...,n_p)$ of N with $n_j\\ge 1$ and $N=\\sum_{j=1}^{p}n_j$, the\nentanglement index for the corresponding state\n$\\rho_{n_1}\\bigotimes\\rho_{n_2}...\\bigotimes \\rho_{n_p}$ with $\\rho_{n_j}$\ndenoting a fully entangled state of $n_j-$qubits is\n$E(\\rho_{n_1}\\bigotimes\\rho_{n_2}...\\bigotimes\n\\rho_{n_p})=\\sum_{j=1}^{p}(n_j-1)=N-p$.",
"arxiv_id": "quant-ph/0211139",
"authors": [
"Ying Wu"
],
"categories": [
"quant-ph"
],
"title": "N-qubit Entanglement Index and Classification",
"url": "https://arxiv.org/abs/quant-ph/0211139"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "1da676ad-7f6e-4f3d-bed1-6ec3e30fcc8d",
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"type": "Model",
"variant": "snapshot-2026-03-01",
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