Quantum correlations in non-inertial cavity systems

Non-inertial cavities are utilized to store and send Quantum Information between mode pairs. A two-cavity system is considered where one is inertial and the other accelerated in a finite time. Maclaurian series are applied to expand the related Bogoliubov coefficients and the problem is treated perturbatively. It is shown that Quantum Discord, which is a measure of quantumness of correlations, is degraded periodically. This is almost in agreement with previous results reached in accelerated systems where increment of acceleration decreases the degree of quantum correlations. As another finding of the study, it is explicitly shown that degradation of Quantum Discord disappears when the state is in a single cavity which is accelerated for a finite time. This feature makes accelerating cavities useful instruments in Quantum Information Theory.     

An infeasible full-NT step interior point algorithm for CQSCO

In this paper, based on the complex-symmetric and skew-Hermitian splitting (CSS) of the coefficient matrix, a modified complex-symmetric and skew-Hermitian-splitting (MCSS) iteration method is presented to solve a class of complex-symmetric indefinite linear systems from the classical state-space formulation of frequency analysis of the degree-of-freedom discrete system. The convergence properties of the MCSS method are obtained. The corresponding MCSS preconditioner is proposed and some useful properties of the preconditioned matrix are established. Numerical experiments are reported to verify the efficiency of both the MCSS method and the MCSS preconditioner.     

A mixed damage model for unsaturated porous media

The aim of this study is to present a framework for the modeling of damage in continuous unsaturated porous geomaterials. The damage variable is a second-order tensor. The model is formulated in net stress and suction independent state variables. Correspondingly, the strain tensor is split into two independent thermodynamic strain components. The proposed framework mixes micro-mechanical and phenomenological approaches. On the one hand, the effective stress concept of Continuum Damage Mechanics is used in order to compute the damaged rigidities. On the other hand, the concept of equivalent mechanical state is introduced in order to get a simple phenomenological formulation of the behavior laws. Cracking effects are also taken into account in the fluid transfer laws. To cite this article: C. Arson, B. Gatmiri, C. R. Mecanique 337 (2009).     

Cryptography in Hierarchical Coded Caching: System Model and Cost Analysis

The idea behind network caching is to reduce network traffic during peak hours via transmitting frequently-requested content items to end users during off-peak hours. However, due to limited cache sizes and unpredictable access patterns, this might not totally eliminate the need for data transmission during peak hours. Coded caching was introduced to further reduce the peak hour traffic. The idea of coded caching is based on sending coded content which can be decoded in different ways by different users. This allows the server to service multiple requests by transmitting a single content item. Research works regarding coded caching traditionally adopt a simple network topology consisting of a single server, a single hub, a shared link connecting the server to the hub, and private links which connect the users to the hub. Building on the results of Sengupta et al. (IEEE Trans. Inf. Forensics Secur., 2015), we propose and evaluate a yet more complex system model that takes into consideration both throughput and security via combining the mentioned ideas. It is demonstrated that the achievable rates in the proposed model are within a constant multiplicative and additive gap with the minimum secure rates.     

Über Umlagerungen bei der Cyclialkylierung von Arylpentanolen zu 2,3‐Dihydro‐1H‐inden‐Derivaten, 5. Mitteilung

On Rearrangements by Cyclialkylations of Arylpentanols to 2,3‐Dihydro‐1 H ‐indene Derivatives. Part 5. The Acid‐Catalyzed Cyclialkylation of 2‐(2‐Chlorophenyl)‐2,4‐dimethylpentan‐3‐ol The mechanism proposed in [1] to explain the surprising result of the cyclialkylation of 4‐(2‐chlorophenyl)‐2,4‐dimethylpentan‐2‐ol ( 3 , R=Me), which gives not only the ‘normal' product, i.e., the 4‐chloro‐2,3‐dihydro‐1,1,3,3‐tetramethyl‐ ( 4 ), but also the isomer trans‐4‐chloro‐2,3‐dihydro‐1,1,2,3‐tetramethyl‐1H‐inden ( 5 ), could be differentiated in two sections (cf. Scheme 2): the first from 3 to the intermediary ion IIa ⇌ IIb , and the second from the latter ions to the final product 5 . For the first section, a sufficiently satisfactory explanation has been given in [1]; the second section has received important support from the mechanisms of the cyclialkylation of 2,4‐dimethyl‐2‐phenylpentan‐3‐ol ( 6 ), the precursor of II′a , the ion IIa without the o‐Cl substituent (cf. Schemes 2, 3 and 5 and [4]). The present communication gives an explanation of the influence of the o‐Cl substituent: a mechanism is proposed for the very complex cyclialkylation of 2‐(2‐chlorophenyl)‐2,4‐dimethylpentan‐3‐ol ( 11 ; cf. Scheme 9). Both mechanism may be considered as definitive. It is very surprising that, by the cyclialkylation of the compounds 1, 3, 8, 11, 15 , and 17 , only compound 1 gives the ‘normal' product; the cyclialkylation of all other phenylpentanols follows complex pathways including Et, i‐Pr, and Ph migrations, which could not be expected. In addition, it has been established that the transformation of 21 to 22 (cf. Scheme 12) and that of 23 to 24 (cf. Scheme 13) occur through two consecutive 1,2‐ and not through a single 1,3‐hydride migration or through an elimination‐addition process (cf. Scheme 13). It can be assumed that the transformation of ion IV (the 2‐(2‐chlorophenyl)‐3,4‐dimethylpent‐2‐ylium ion) to the ion V (the 4‐(2‐chlorophenyl)‐3,4‐dimethylpent‐2‐ylium ion (both shown in Scheme 9 as D‐isomers) occurs through the same pathway.     

The base-free chemoselective ring opening of epoxides with carboxylic acids using [bmim]Br: a rapid entry into 1,2-diol mono-esters synthesis

A facile and highly convenient base-free protocol for the chemoselective preparation of 1,2-diol mono-esters is described. In this method, the regioselective ring opening of epoxides with carboxylic acids in the presence of [bmim]Br furnishes the corresponding 1,2-diol mono-esters in excellent yields. This method is efficient for various structurally diverse epoxides and carboxylic acids and it can be efficiently applied for the scale up synthesis of 1,2-diol mono-esters in reasonable to good yields. [bmim]Br remarkably influences the reaction progress and acts as both solvent and catalyst in this protocol.     

Versatile solid-phase synthesis of s-arylisothioureas

Resin-bound amines 4a-m condense with di(benzotriazol-1-yl)methanimine 6 to give 1H-benzotriazole-1-carboximidamide resins 7a-m, which subsequently react with thiols 9a'-g' followed by cleavage affording nonprotected isothioureas 1aa'-mg' in high yields and with good purities. Analogous reactions with secondary amines activated with EtMgBr lead to guanidines 2a,b,e-g in moderate yields. Resin-bound isothioureas 1 are converted by acyl chlorides or carboxylic acids into acyl derivatives 12a-n in high yields and with good purities.     

Metal complexes with thioether containing unsymmetrical N2S donor Schiff base ligand: Crystal and molecular structure of nickel(II) complex

Abstract

A thioether unsymmetrical N₂S donor Schiff base ligand, N-2-((2-nitrophenyl)thio)phenyl)-1-(pyrrole-2-yl)methanimine (HL) and its five complexes [NiL₂], [CuL₂], [ZnHL(H₂O)₂(OAc)₂], [CdHL(H₂O)₂(OAc)₂]·2H₂O and [MnHL(H₂O)₂(OAc)₂]·2H₂O were synthesized. The ligand and metal complexes were characterized by spectroscopic methods (FT-IR, ¹H and ¹³C NMR, UV–Vis), elemental analyses, mass spectrometry, and conductance measurements. Of these complexes, [NiL₂] was structurally characterized by single-crystal X-ray crystallography. In this complex, two ligands function as monobasic N₂S tridentate and coordinate through pyrrole-N, thioether-S, and azomethine-N, and the nickel(II) is in distorted octahedral environments.     

Designing chiral amido-oxazolines as new chelating ligands devoted to direct Cu-catalyzed oxidation of allylic CH bonds in cyclic olefins

A new type of amido-oxazoline ligands was conveniently synthesized from inexpensive and commercially available materials in high yields and enantiomeric excesses. The corresponding chiral copper complexes with this class of ligands [C₂ symmetric S,S-bis(amido-oxazoline-Cu(II) complex] were synthesized accordingly. The ORTEP diagram of ligand 6a and complex 6a-copper were compared and characterization of the complex confirmed the involvement of both dentate parts of the ligands, the oxygen and nitrogen atoms, in complexation with copper. The utilization of this amido-oxazoline ligands in the copper-catalyzed enantioselective esterification of allylic CH bonds of cyclic olefins with tert-butyl-4-nitrobenzoperoxoate resulted in the highest activities, yields (up to 95%) and enantioselectivities (up to 96%) in the presence of HZSM-5 zeolite. These new findings highlight the protocol as one of the most attractive and useful methods for the oxidation of the asymmetric allylic CH bond of cycloalkenes compared to other methodologies reported in the literature.