Abstract:
Life expectancy of the elderly is a significant problem in China, and it changes not only the health care, but also the pension. This study used tracking data from the Chinese Urban and Rural Elderly Population Survey to calculate the age-specific Active Life Expectancy (ALE) of the Chinese elderly population aged 60 years and over. For analysis, this population was divided into different sub-populations according to gender, census register and region. The main conclusions of our study are as follows: 1) The quality of life for elderly males may be greater than that for elderly females; 2) There were significant differences in Active Life Expectancy (ALE) and Inactive Life Expectancy (ILE) between urban and rural elderly; 3) The differences in ALE between the eastern, central and western regions of China were not significant; and 4) The increased remaining life expectancy of the elderly was mainly attributed to the extended ALE in the lower age group and the expanded ILE in the higher age group. This study expands the knowledge of Chinese elderly’s life expectancy in different health status.

Abstract:
In the dinuclear title complex, [Sn2(CH3)4(C7H3F2O2)4], the SnIV atom is chelated by two 3,5-difluorobenzoate (dfb) anions and coordinated by two methyl groups while an O atom from the adjacent dfb anion bridges the Sb atom with a longer Sb—O bond distance of 2.793 (4) . The complex molecule has 2 symmetry and the SnIV atom is in a distorted pentagonal–bipyramidal coordination geometry. In the crystal, molecules are connected by C—H...O and C—H...F hydrogen bonds.

Abstract:
The molecule of the title compound, [Na(C13H11N3O)2(CH3OH)2]I, is non-planar, with the Na atom chelated by the O atoms and the N atoms of two N′-(3-pyridylmethylene)benzohydrazide ligands and both O atoms of two methanol ligands. The asymmetric unit consists of one half-molecule. The Na atom is located on a crystallographic centre of inversion. The six-coordinate Na atom adopts a distorted octahedral coordination. In the crystal structure, intermolecular N—H...I and O—H...N hydrogen bonds link the molecules into a two-dimensional network.

Abstract:
The title tetranuclear SnIV compound, [Sn4(C7H6Cl)8Cl2O2(OH)2], has site symmetry overline{1}. Two O2 and two OH anions bridge four SnIV cations to form the tetranuclear compound. The two independent SnIV cations assume SnO3C2 and SnO2C2Cl distorted trigonal-bipyramidal coordination geometries. Intramolecular O—H...Cl hydrogen bonding is present in the structure. One Cl atom of a chlorobenzyl ligand is disordered over two sites with an occupancy ratio of 0.693 (2):0.307 (2).

Abstract:
In this work, we study the two-point entanglement S(i,j), which measures the entanglement between two separated degrees of freedom (ij) and the rest of system, near a quantum phase transition. Away from the critical point, S(i,j) saturates with a characteristic length scale $\xi_E$, as the distance |i-j| increases. The entanglement length $\xi_E$ agrees with the correlation length. The universality and finite size scaling of entanglement are demonstrated in a class of exactly solvable one dimensional spin model. By connecting the two-point entanglement to correlation functions in the long range limit, we argue that the prediction power of a two-point entanglement is universal as long as the two involved points are separated far enough.

Abstract:
When we study and process
magnetotelluric data, the earth's interior structure is usually equated with
isotropic medium in the existing approaches. When the underground structure is
complex, there is serious resistivity anisotropy in macroscopic view, and then
the traditional processing and interpretation methods often produce wrong
results. For that we must establish the study method based on the anisotropy in
order to explain the measured data exactly. In this paper, by considering the
change of resistivity in three electrical spindle directions, we deduce
two-dimensional magnetotelluric variational equation for vertical anisotropy.
The study region is divided into many rectangular units, and it is dealt with
linear interpolation in each of them. By comparing with former achievements
including the results of the isotropic and anisotropic models, it demonstrates
the validity of the program. The pseudosection map of vertical anisotropic body
shows that we can’t ignore the anisotropy effect and provides a solid
foundation for the further inversion study.

Abstract:
Motivated by the duality between site-centered spin and bond-centered spin in one-dimensional system, which connects two different constructions of fermions from the same set of Majorana fermions, we show that two-dimensional models with topological orders can be constructed from certain well-known models with classical orders characterized by symmetry-breaking. Topology-dependent ground state degeneracy, vanishing two-point correlation functions, and unpaired Majorana fermions on boundaries emerge naturally from such construction. The approach opens a new way to construct and characterize topological orders.

Abstract:
In this work, we illustrate how a Jordan-Wigner transformation combined with symmetry considerations enables a direct solution of Kitaev's model on the honeycomb lattice. We (i) express the p-wave type fermionic ground states of this system in terms of the original spins, (ii) adduce that symmetry alone dictates the existence of string and planar brane type correlators and their composites, (iii) compute the value of such non-local correlators by employing the Jordan-Wigner transformation, (iv) affirm that the spectrum is inconsequential to the existence of topological quantum order and that such information is encoded in the states themselves, and (v) express the anyonic character of the excitations in this system and the local symmetries that it harbors in terms of fermions.

Abstract:
We present a generalization to 3-qubits of the standard Bloch sphere representation for a single qubit and of the 7-dimensional sphere representation for 2 qubits presented in Mosseri {\it et al.}\cite{Mosseri2001}. The Hilbert space of the 3-qubit system is the 15-dimensional sphere $S^{15}$, which allows for a natural (last) Hopf fibration with $S^8$ as base and $S^7$ as fiber. A striking feature is, as in the case of 1 and 2 qubits, that the map is entanglement sensitive, and the two distinct ways of un-entangling 3 qubits are naturally related to the Hopf map. We define a quantity that measures the degree of entanglement of the 3-qubit state. Conjectures on the possibility to generalize the construction for higher qubit states are also discussed.