1,228 research outputs found
Monogamy equalities for qubit entanglement from Lorentz invariance
A striking result from nonrelativistic quantum mechanics is the monogamy of
entanglement, which states that a particle can be maximally entangled only with
one other party, not with several ones. While there is the exact quantitative
relation for three qubits and also several inequalities describing monogamy
properties it is not clear to what extent exact monogamy relations are a
general feature of quantum mechanics. We prove that in all many-qubit systems
there exist strict monogamy laws for quantum correlations. They come about
through the curious relation between the nonrelativistic quantum mechanics of
qubits and Minkowski space. We elucidate the origin of entanglement monogamy
from this symmetry perspective and provide recipes to construct new families of
such equalities.Comment: 4 pages, 3 figure
Generalized W-Class State and its Monogamy Relation
We generalize the W class of states from qubits to qudits and prove
that their entanglement is fully characterized by their partial entanglements
even for the case of the mixture that consists of a W-class state and a product
state .Comment: 12 pages, 1 figur
All Multiparty Quantum States Can Be Made Monogamous
Monogamy of quantum correlation measures puts restrictions on the sharability
of quantum correlations in multiparty quantum states. Multiparty quantum states
can satisfy or violate monogamy relations with respect to given quantum
correlations. We show that all multiparty quantum states can be made monogamous
with respect to all measures. More precisely, given any quantum correlation
measure that is non-monogamic for a multiparty quantum state, it is always
possible to find a monotonically increasing function of the measure that is
monogamous for the same state. The statement holds for all quantum states,
whether pure or mixed, in all finite dimensions and for an arbitrary number of
parties. The monotonically increasing function of the quantum correlation
measure satisfies all the properties that is expected for quantum correlations
to follow. We illustrate the concepts by considering a thermodynamic measure of
quantum correlation, called the quantum work deficit.Comment: 6.5 pages, 2 figures, RevTeX 4-1, Title in the published version is
"Monotonically increasing functions of any quantum correlation can make all
multiparty states monogamous
- …