8,351 research outputs found
Superactivation of monogamy relations for nonadditive quantum correlation measures
We investigate the general monogamy and polygamy relations satisfied by
quantum correlation measures. We show that there exist two real numbers
and such that for any quantum correlation measure ,
is monogamous if and polygamous if for a
given multipartite state . For , we show that the
monogamy relation can be superactivated by finite copies
of for nonadditive correlation measures. As a detailed example, we use
the negativity as the quantum correlation measure to illustrate such
superactivation of monogamy properties. A tighter monogamy relation is
presented at last
Monogamy relations of all quantum correlation measures for multipartite quantum systems
The monogamy relations of quantum correlation restrict the sharability of
quantum correlations in multipartite quantum states. We show that all measures
of quantum correlations satisfy some kind of monogamy relations for arbitrary
multipartite quantum states. Moreover, by introducing residual quantum
correlations, we present tighter monogamy inequalities that are better than all
the existing ones. In particular, for multi-qubit pure states, we also
establish new monogamous relations based on the concurrence and concurrence of
assistance under the partition of the first two qubits and the remaining ones.Comment: arXiv admin note: text overlap with arXiv:1206.4029 by other author
Edge-Fault Tolerance of Hypercube-like Networks
This paper considers a kind of generalized measure of fault
tolerance in a hypercube-like graph which contain several well-known
interconnection networks such as hypercubes, varietal hypercubes, twisted
cubes, crossed cubes and M\"obius cubes, and proves for any with by the induction on
and a new technique. This result shows that at least edges of
have to be removed to get a disconnected graph that contains no vertices of
degree less than . Compared with previous results, this result enhances
fault-tolerant ability of the above-mentioned networks theoretically
Polygamy relations of multipartite entanglement beyond qubits
We investigate the polygamy relations related to the concurrence of
assistance for any multipartite pure states. General polygamy inequalities
given by the th power of concurrence of
assistance is first presented for multipartite pure states in
arbitrary-dimensional quantum systems. We further show that the general
polygamy inequalities can even be improved to be tighter inequalities under
certain conditions on the assisted entanglement of bipartite subsystems. Based
on the improved polygamy relations, lower bound for distribution of bipartite
entanglement is provided in a multipartite system. Moreover, the th
() power of polygamy inequalities are obtained for the
entanglement of assistance as a by-product, which are shown to be tighter than
the existing ones. A detailed example is presented.Comment: arXiv admin note: text overlap with arXiv:1902.0744
Quantifying quantum coherence and non-classical correlation based on Hellinger distance
Quantum coherence and non-classical correlation are key features of quantum
world. Quantifying coherence and non-classical correlation are two key tasks in
quantum information theory. First, we present a bona fide measure of quantum
coherence by utilizing the Hellinger distance. This coherence measure is proven
to fulfill all the criteria of a well defined coherence measure, including the
strong monotonicity in the resource theories of quantum coherence. In terms of
this coherence measure, the distribution of quantum coherence in multipartite
systems is studied and a corresponding polygamy relation is proposed. Its
operational meanings and the relations between the generation of quantum
correlations and the coherence are also investigated. Moreover, we present
Hellinger distance-based measure of non-classical correlation, which not only
inherits the nice properties of the Hellinger distance including contractivity,
and but also shows a powerful analytic computability for a large class of
quantum states. We show that there is an explicit trade-off relation satisfied
by the quantum coherence and this non-classical correlation
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