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2014 ; 4
(ä): 5422
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Analysis of entanglement measures and LOCC maximized quantum Fisher information
of general two qubit systems
#MMPMID24957694
Erol V
; Ozaydin F
; Altintas AA
Sci Rep
2014[Jun]; 4
(ä): 5422
PMID24957694
show ga
Entanglement has been studied extensively for unveiling the mysteries of
non-classical correlations between quantum systems. In the bipartite case, there
are well known measures for quantifying entanglement such as concurrence,
relative entropy of entanglement (REE) and negativity, which cannot be increased
via local operations. It was found that for sets of non-maximally entangled
states of two qubits, comparing these entanglement measures may lead to different
entanglement orderings of the states. On the other hand, although it is not an
entanglement measure and not monotonic under local operations, due to its ability
of detecting multipartite entanglement, quantum Fisher information (QFI) has
recently received an intense attraction generally with entanglement in the focus.
In this work, we revisit the state ordering problem of general two qubit states.
Generating a thousand random quantum states and performing an optimization based
on local general rotations of each qubit, we calculate the maximal QFI for each
state. We analyze the maximized QFI in comparison with concurrence, REE and
negativity and obtain new state orderings. We show that there are pairs of states
having equal maximized QFI but different values for concurrence, REE and
negativity and vice versa.