dorsal/arxiv
View SchemaA potential multipartide entanglement measure
| Authors | Alexander Wong, Nelson Christensen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0010052 |
| URL | https://arxiv.org/abs/quant-ph/0010052 |
| DOI | 10.1103/PhysRevA.63.044301 |
| Journal | Physical Review A, Vol. 63, 044301 (2001) |
Abstract
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.
{
"annotation_id": "d9138af8-4dd1-4527-831c-57c7f7c8974c",
"date_created": "2026-03-02T18:01:42.194000Z",
"date_modified": "2026-03-02T18:01:42.194000Z",
"file_hash": "54faf90746941566ccadca3e74809e83e881fca418ebf851aa6b31cbaed86c5a",
"private": false,
"record": {
"abstract": "We discuss entanglement of multiparticle quantum systems. We propose a\npotential measure of a type of entanglement of pure states of n qubits, the\nn-tangle. For a system of two qubits the n-tangle is equal to the square of the\nconcurrence, and for systems of three qubits it is equal to the \u0027\u0027residual\nentanglement\u0027\u0027. We show that the n -tangle, is also equal to the generalization\nof concurrence squared for even n, and use this fact to prove that the n-tangle\nis an entanglement monotone. However, the n-tangle is undefined for odd n\u003e3.\nFinally we propose a measure related to the n-tangle for mixed state systems of\nn qubits, and find an analytical formula for this measure for even n.",
"arxiv_id": "quant-ph/0010052",
"authors": [
"Alexander Wong",
"Nelson Christensen"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.63.044301",
"journal_ref": "Physical Review A, Vol. 63, 044301 (2001)",
"title": "A potential multipartide entanglement measure",
"url": "https://arxiv.org/abs/quant-ph/0010052"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "54d94fef-fdf7-4afb-94db-e0fb072a8f36",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}