dorsal/arxiv
View SchemaOn local invariants of pure three-qubit states
| Authors | Anthony Sudbery |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0001116 |
| URL | https://arxiv.org/abs/quant-ph/0001116 |
| DOI | 10.1088/0305-4470/34/3/323 |
| Journal | J.Phys.A 34 (2001), 643-652 |
Abstract
We study invariants of three-qubit states under local unitary transformations, i.e. functions on the space of entanglement types, which is known to have dimension 6. We show that there is no set of six independent polynomial invariants of degree less than or equal to 6, and find such a set with maximum degree 8. We describe an intrinsic definition of a canonical state on each orbit, and discuss the (non-polynomial) invariants associated with it.
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"abstract": "We study invariants of three-qubit states under local unitary\ntransformations, i.e. functions on the space of entanglement types, which is\nknown to have dimension 6. We show that there is no set of six independent\npolynomial invariants of degree less than or equal to 6, and find such a set\nwith maximum degree 8. We describe an intrinsic definition of a canonical state\non each orbit, and discuss the (non-polynomial) invariants associated with it.",
"arxiv_id": "quant-ph/0001116",
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"Anthony Sudbery"
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"doi": "10.1088/0305-4470/34/3/323",
"journal_ref": "J.Phys.A 34 (2001), 643-652",
"title": "On local invariants of pure three-qubit states",
"url": "https://arxiv.org/abs/quant-ph/0001116"
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