dorsal/arxiv
View SchemaTopology of the three-qubit space of entanglement types
| Authors | Scott N. Walck, James K. Glasbrenner, Matthew H. Lochman, Shawn A. Hilbert |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507208 |
| URL | https://arxiv.org/abs/quant-ph/0507208 |
| DOI | 10.1103/PhysRevA.72.052324 |
| Journal | Phys. Rev. A 72, 052324 (2005) |
Abstract
The three-qubit space of entanglement types is the orbit space of the local unitary action on the space of three-qubit pure states, and hence describes the types of entanglement that a system of three qubits can achieve. We show that this orbit space is homeomorphic to a certain subspace of R^6, which we describe completely. We give a topologically based classification of three-qubit entanglement types, and we argue that the nontrivial topology of the three-qubit space of entanglement types forbids the existence of standard states with the convenient properties of two-qubit standard states.
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"abstract": "The three-qubit space of entanglement types is the orbit space of the local\nunitary action on the space of three-qubit pure states, and hence describes the\ntypes of entanglement that a system of three qubits can achieve. We show that\nthis orbit space is homeomorphic to a certain subspace of R^6, which we\ndescribe completely. We give a topologically based classification of\nthree-qubit entanglement types, and we argue that the nontrivial topology of\nthe three-qubit space of entanglement types forbids the existence of standard\nstates with the convenient properties of two-qubit standard states.",
"arxiv_id": "quant-ph/0507208",
"authors": [
"Scott N. Walck",
"James K. Glasbrenner",
"Matthew H. Lochman",
"Shawn A. Hilbert"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.052324",
"journal_ref": "Phys. Rev. A 72, 052324 (2005)",
"title": "Topology of the three-qubit space of entanglement types",
"url": "https://arxiv.org/abs/quant-ph/0507208"
},
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