dorsal/arxiv
View SchemaUnitary invariants of qubit systems
| Authors | Frederic Toumazet, Jean-Gabriel Luque, Jean-Yves Thibon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0604202 |
| URL | https://arxiv.org/abs/quant-ph/0604202 |
| Journal | Mathematical Structures in Computer Science 17 (2007), 1133-1151 |
Abstract
We give an algorithm allowing to construct bases of local unitary invariants of pure k-qubit states from the knowledge of polynomial covariants of the group of invertible local filtering operations. The simplest invariants obtained in this way are explicited and compared to various known entanglement measures. Complete sets of generators are obtained for up to four qubits, and the structure of the invariant algebras is discussed in detail.
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"abstract": "We give an algorithm allowing to construct bases of local unitary invariants\nof pure k-qubit states from the knowledge of polynomial covariants of the group\nof invertible local filtering operations. The simplest invariants obtained in\nthis way are explicited and compared to various known entanglement measures.\nComplete sets of generators are obtained for up to four qubits, and the\nstructure of the invariant algebras is discussed in detail.",
"arxiv_id": "quant-ph/0604202",
"authors": [
"Frederic Toumazet",
"Jean-Gabriel Luque",
"Jean-Yves Thibon"
],
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"journal_ref": "Mathematical Structures in Computer Science 17 (2007), 1133-1151",
"title": "Unitary invariants of qubit systems",
"url": "https://arxiv.org/abs/quant-ph/0604202"
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