Phys. Rev. A 72, 052324 (2005) [8 pages]Topology of the three-qubit space of entanglement typesReceived 22 July 2005; published 21 November 2005 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 R6, 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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.052324
DOI:
10.1103/PhysRevA.72.052324
PACS:
03.67.Mn
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