1,650 research outputs found
Lower Bounds of Concurrence for Multipartite States
We study the entanglement of multipartite quantum states. Some lower bounds
of the multipartite concurrence are reviewed. We further present more effective
lower bounds for detecting and qualifying entanglement, by establishing
functional relations between the concurrence and the generalized partial
transpositions of the multipartite systems.Comment: 13 page
Diffeomorphism Invariance of Geometric Descriptions of Palatini and Ashtekar Gravity
In this paper, we explicitly prove the presymplectic forms of the Palatini
and Ashtekar gravity to be zero along gauge orbits of the Lorentz and
diffeomorphism groups, which ensures the diffeomorphism invariance of these
theories.Comment: Latex, 6 page
Lower Bound of Multipartite Concurrence Based on Sub-quantum State Decomposition
We study the entanglement of tripartite quantum states and provide analytical
lower bound of concurrence in terms of the concurrence of sub-states. The lower
bound may improve all the existing lower bounds of concurrence. The approach is
generalized to arbitrary dimensional multipartite systems.Comment: 5 page
Quantifying quantum coherence based on the generalized relative Rnyi entropy
We present a family of coherence quantifiers based on the generalized
relative Rnyi entropy. These quantifiers satisfy all the
standard criteria for well-defined measures of coherence, and include some
existing coherence measures as special cases.Comment: 9 pages, 1 figure
A lower bound of concurrence for multipartite quantum systems
We present a lower bound of concurrence for four-partite systems in terms of
the concurrence for part quantum systems and give an
analytical lower bound for mixed quantum sates. It
is shown that these lower bounds are able to improve the existing bounds and
detect entanglement better. Furthermore, our approach can be generalized to
multipartite quantum systems.Comment: 9 pages,2 figure
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