RECENT FINDINGS IN PHYSICS DESCRIBED BY S. TAMARYAN AND COLLEAGUES
Science Letter
January 12, 2010
"Bipartite maximally entangled states have the property that the
largest Schmidt coefficient reaches its lower bound. However, for
multipartite states, the standard Schmidt decomposition generally does
not exist," researchers in Yerevan, Armenia report (see also Physics).
"We use a generalized Schmidt decomposition and the geometric measure
of entanglement to characterize three-qubit pure states and derive a
single-parameter family of maximally entangled three-qubit states. The
paradigmatic Greenberger-Horne-Zeilinger (GHZ) and W states emerge
as extreme members in this family of maximally entangled states,"
wrote S. Tamaryan and colleagues.
The researchers concluded: "This family of states possesses different
trends of entanglement behavior: in going from GHZ to W states,
the geometric measure, the relative entropy of entanglement, and
the bipartite entanglement all increase monotonically whereas the
three-tangle and bipartition negativity both decrease monotonically."
Tamaryan and colleagues published their study in Physical Review a
(Maximally entangled three-qubit states via geometric measure of
entanglement. Physical Review a, 2009;80(5):2315).
For additional information, contact S. Tamaryan, Yerevan Physics
Institute, Theory Department, Yerevan 375036, Armenia.
Publisher contact information for the journal Physical Review a
is: American Physical Society, One Physics Ellipse, College Pk,
MD 20740-3844, USA.