dorsal/arxiv
View SchemaThe polynomial invariants of four qubits
| Authors | J. -G. Luque, J. -Y. Thibon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0212069 |
| URL | https://arxiv.org/abs/quant-ph/0212069 |
| DOI | 10.1103/PhysRevA.67.042303 |
| Journal | Physical Review A 67 (2003), 042303, 1-5 |
Abstract
We describe explicitly the algebra of polynomial functions on the Hilbert space of four qubit states which are invariant under the SLOCC group $SL(2,{\mathbb C})^{4}$. From this description, we obtain a closed formula for the hyperdeterminant in terms of low degree invariants.
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"abstract": "We describe explicitly the algebra of polynomial functions on the Hilbert\nspace of four qubit states which are invariant under the SLOCC group\n$SL(2,{\\mathbb C})^{4}$. From this description, we obtain a closed formula for\nthe hyperdeterminant in terms of low degree invariants.",
"arxiv_id": "quant-ph/0212069",
"authors": [
"J. -G. Luque",
"J. -Y. Thibon"
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"doi": "10.1103/PhysRevA.67.042303",
"journal_ref": "Physical Review A 67 (2003), 042303, 1-5",
"title": "The polynomial invariants of four qubits",
"url": "https://arxiv.org/abs/quant-ph/0212069"
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