Topology of the three-qubit space of entanglement types

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dc.creatorWalck, Scott N.
dc.creatorGlasbrenner, James K.
dc.creatorLochman, Matthew H.
dc.creatorHilbert, Shawn A.
dc.date2005-07-21
dc.date2005-08-29
dc.date.accessioned2026-07-07T06:23:07Z
dc.date.available2026-07-07T06:23:07Z
dc.descriptionThe 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.
dc.description9 pages, 3 figures, v2 adds a reference
dc.identifierhttps://arxiv.org/abs/quant-ph/0507208
dc.identifierhttp://arxiv.org/abs/quant-ph/0507208
dc.identifierPhys. Rev. A 72, 052324 (2005)
dc.identifierdoi:10.1103/PhysRevA.72.052324
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96121
dc.subjectQuantum Physics
dc.titleTopology of the three-qubit space of entanglement types
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