Topology of the three-qubit space of entanglement types
Quantum Physics
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.quant-ph/0507208,
title = {Topology of the three-qubit space of entanglement types},
author = {Scott N. Walck and James K. Glasbrenner and Matthew H. Lochman and Shawn A. Hilbert},
journal= {arXiv preprint arXiv:quant-ph/0507208},
year = {2007}
}
Comments
9 pages, 3 figures, v2 adds a reference