22 research outputs found
Population-only decay map for n-qubit n-partite inseparability detection
We introduce a new positive linear map for a single qubit. This map is a
decay only in populations of a single-qubit density operator. It is shown that
an n-fold product of this map may be used for a detection of n-partite
inseparability of an n-qubit density operator (i.e., detection of impossibility
of representing a density operator in the form of a convex combination of
products of density operators of individual qubits). This product map is also
investigated in relation to a variant of the entanglement detection method
mentioned by Laskowski and Zukowski.Comment: 5 pages, 1 figure, RevTex4, v2 minor grammatical changes, typos
correcte
Nonclassical correlation in a multipartite quantum system: two measures and evaluation
There is a commonly recognized paradigm in which a multipartite quantum
system described by a density matrix having no product eigenbasis is considered
to possess nonclassical correlation. Supporting this paradigm, we define two
entropic measures of nonclassical correlation of a multipartite quantum system.
One is defined as the minimum uncertainty about a joint system after we collect
outcomes of particular local measurements. The other is defined by taking the
maximum over all local systems about the minimum distance between a genuine set
and a mimic set of eigenvalues of a reduced density matrix of a local system.
The latter measure is based on an artificial game to create mimic eigenvalues
of a reduced density matrix of a local system from eigenvalues of a density
matrix of a global system. Numerical computation of these measures for several
examples is performed.Comment: v1: 10 pages, 8 figures, IOPART, v2: introduction modified, figure 7
replaced, v3: 10 pages, 10 figures, RevTeX4, major revision with an
additional measure introduced, title changed (previous title: Non-classical
correlation in a multi-partite quantum system reconsidered), to appear in
Phys. Rev.
Evaluating measures of nonclassical correlation in a multipartite quantum system
We introduce and compare several measures of nonclassical correlation defined
on the basis of a widely-recognized paradigm claiming that a multipartite
system represented by a density matrix having no product eigenbasis possesses
nonclassical correlation.Comment: 6 pages, 3 figures, submitted to Proc. NIC@QS0