线性规划椭球算法若干改进结果

本文给出线性规划哈奇杨椭球算法的两个改进形式,推广了哈奇杨文的结果,给出了对解线性代数方程组的应用和若干数值算例。     

Hierarchical simultaneous entanglement swapping for multi-hop quantum communication based on multi-particle entangled states

Entanglement swapping is a key technology for multi-hop communication based on entanglement in quantum networks. However, the end-to-end delay of the traditional sequential entanglement swapping (SEQES) grows rapidly withthe increase of network scale. To solve this problem, we first propose a low-delay multi-particle simultaneous entanglementswapping (SES) scheme to establish the remote four-particle Greenberger–Horne–Zeilinger (GHZ) channel states for thebidirectional teleportation of three-particle GHZ states, in which the intermediate nodes perform Bell state measurements,send the measurement results and the Bell state type to the user node Bob (or Alice) through classical channel simultaneously. Bob (or Alice) only needs to carry out a proper unitary operation according to the information he (or she) hasreceived. Further, we put forward a hierarchical simultaneous entanglement swapping (HSES) scheme to reduce the classical information transmission cost, which is composed of level-1 SES and level-2 SES (schemes). The former is an innersegment SES, and the latter is an inter segments SES. Theoretical analysis and simulation results show the HSES can obtainthe optimal performance tradeoff between end-to-end delay and classical cost.     

Influences of flexible defect on the interplay of supercoiling and knotting of circular DNA

Knots are discovered in biophysical systems, such as DNA and proteins. Knotted portions in knotted DNA are significantly bent and their corresponding bending angles are comparable with or larger than the sharp bending angle resulting in flexible defects. The role of flexible defects in the interplay of supercoiling and knotting of circular DNA were predicted by a Monte Carlo simulation. In knotted DNA with a particular knot type, a flexible defect noticeably enhances the supercoiling of the knotted DNA and the decreasing excitation energy makes the knotted portion more compact. A reduction in twist rigidity and unwinding of flexible defects are incorporated into the numerical simulations, so that interplay of supercoiling and knotting of circular DNA is studied under torsional conditions. Increasing unwinding not only results in a wider linking number distribution, but also leads to a drift of the distribution to lower values. A flexible defect has obvious effects on knotting probability. The summation of equilibrium distribution probability for nontrivial knotted DNA with different contour length does not change with excitation energy monotonically and has a maximum at an intermediate value of excitation energy around 5 kBT. In the phase space of knot length and gyration radius of knotted DNA, knot length does not anticorrelate with its gyration radius, which is attributed to the flexible defect in the knotted portion, which leads to the release of bending energy and inhibited the competition between entropy and bending energy.     

降雪对地表附近自由空间量子信道的影响及参数仿真

量子通信具有覆盖面广、安全保密的优势,是当前通信领域国内外的研究热点.在自由空间量子通信过程中,光量子信号需要在地表上空一定高度进行传输,因此各种环境因素,例如降雪、沙尘暴、降雨、雾霾、浮尘等,不可避免地会影响量子通信性能.然而,迄今为止,降雪对地表附近自由空间量子信道影响的研究尚未展开.为此,根据降雪的强度,将降雪分为小雪(S1)、中雪(S2)、大雪(S3)和暴雪(S4)四个等级.由于空中正在飘落雪花对光量子信号具有能量吸收作用,称为消光效应,不同强度的降雪,其消光效应对自由空间光量子信号的影响不同.本文首先建立了不同等级降雪对光量子信号消光效应的数学模型;然后建立了因降雪导致的自由空间消光衰减定量关系,信道极限生存函数、不同降雪强度下的信道容量和量子误码率等性能参数受降雪影响的变化情况;最后建立了降雪强度、传输距离与链路衰减、幅值阻尼信道容量、信道生存函数以及信道误码率的数学模型.仿真结果表明,当降雪强度为2.1 mm/d(S1),传输距离为2.2 km时,通信链路衰减为0.0362,信道容量为0.7745,信道生存函数为0.2329,信道误码率为0.0105.当降雪强度为3.8 mm/d(S2)。传输距离为3.5 km时,通信链路衰减为0.1326,信道容量为0.4922,信道生存函数为0.2099,信道误码率为0.019.由此可见,降雪对量子通信性能有不同程度的影响.所以在实际应用中应根据降雪强度大小,自适应调节量子通信相关参数,提高量子通信的可靠性.     

Synthesis,Adsorptive, and Photocatalytic Properties of Carbon Nanotubes/TiO<Subscript>2</Subscript> Nanocomposite Photocatalysts

The carbon nanotubes/TiO₂ (CNTs/TiO₂) composite photocatalysts composed of TiO₂ nanoparticles and multiwalled carbon nanotubes (CNTs) were prepared by a facile hydrothermal method. The photocatalysts were characterized by a range of analytical techniques including X-ray powder diffraction, field emission scanning electron microscope, thermal gravimetric analysis and UV–Vis optical absorption spectra, etc. The amount of TiO₂ nanoparticles growing on CNTs could be tuned by adjusting the dosage of precursor in the reaction solution. Both the adsorptivity and photocatalytic activities of pure CNTs, pure TiO₂, and the CNTs/TiO₂ nanocomposites were tested by the removal of methylene blue from water in dark and under a simulated sunlight, respectively. By comparison, the improved photocatalytic activity of the CNTs/TiO₂ nanocomposite is mainly due to that the CNTs can disperse the active component of TiO₂ nanoparticles, provide a larger the specific surface area, as well as act as an electron sink to accelerate the separation of the photogenerated charges.     

Facile radiosynthesis of <Superscript>18</Superscript>F-labeled β-glutamic acid as a new PET tracer for imaging lung cancer

In this paper, N-(2-[¹⁸F]fluoropropionyl)-β-glutamic acid 8 ([¹⁸F]FP-β-Glu), a new N-substituted ¹⁸F-labeled amino acid tracer, was synthesized from the precursor 4 (diethyl 3-(2-bromopropanamido)pentanedioate) via a two-step reaction on the modified FDG synthesizer. The radiochemical yield was 20 ± 5% (n = 10, decay-corrected) from [¹⁸F]fluoride within 40 min, the radiochemical purity was 98%. Moreover, microPET studies showed that [¹⁸F]FP-β-Glu 8 exhibited rapid tumor uptake and good tumor-to-lung ratio in SPC-A-1 tumor-bearing mice. A high accumulation of radioactivity was found in the kidneys and bladder, which suggested that the tracer was mainly eliminated through the urinary system.     

亚微米级Cu0/Fe3O4复合物多相催化过一硫酸盐降解有机污染物

过一硫酸盐催化活化技术因其可产生强氧化性活性氧化物种,可快速氧化降解并矿化有机污染物的优异性能而备受关注.本文成功制备了亚微米级Cu0/Fe3O4复合物,发现其能多相催化过一硫酸盐产生单线态氧降解有机污染物.首先,以CuCl2·2H2O,FeCl2·4H2O和FeCl3·6H2O为铜源和铁源,水合肼为还原剂,采用水热法在180oC反应24 h制备了亚微米级磁性Cu0/Fe3O4复合物.表征结果显示,所制材料为Cu0和Fe3O4的复合物,颗粒大小约为220 nm;单一相Cu0和Fe3O4晶体粒径分别为33.8和106.2 nm,而Cu0/Fe3O4复合物中Cu0和Fe3O4晶体粒径分别减为20.8和31.9 nm.这表明Cu0和Fe3O4复合降低了Cu0和Fe3O4晶体粒径,有利于Cu0和Fe3O4的分散.BET测试结果表明,Cu0/Fe3O4复合物比表面积为4.6 m2/g,与Cu0颗粒的(4.2 m2/g)相当,但远小于Fe3O4的(15.6 m2/g).制备的Cu0/Fe3O4复合物可有效催化过一硫酸盐产生单线态氧降解罗丹明B、亚甲基蓝、金橙II、苯酚和对氯酚.当Cu0/Fe3O4复合物的用量为0.1 g/L,过一硫酸盐浓度为0.5 mmol/L和初始pH为7时,Cu0/Fe3O4复合物可在30 min内完全降解20μmol/L的罗丹明B、亚甲基蓝、金橙II以及0.1 mmol/L的苯酚和对氯酚.对比试验显示,在相同条件下,Cu0和Fe3O4颗粒分别可以降解28%和20%的罗丹明B.这表明Cu0/Fe3O4复合物中的Cu0和Fe3O4晶体在催化过一硫酸盐降解污染物的反应中具有协同作用,这主要来源于Cu0/Fe3O4复合物中Cu0和Fe3O4的晶体粒径变小和更好的分散.采用分光光度法测定了降解反应液中铜和铁离子的溶出量.当Cu0/Fe3O4复合物的用量为0.1 g/L,过一硫酸盐浓度为0.5 mmol/L和初始pH为7时,反应60 min后,降解液中铜和铁离子的浓度分别为0.22和0.1 mg/L,仅占复合物中总铜和总铁量的1.1%和0.2%,表明Cu0/Fe3O4复合物具有较强的化学稳定性.所制Cu0/Fe3O4复合物具有超顺磁性,借助磁场实现快速分离回收,可循环利用五次,表明其优越的催化稳定性.通过加入乙醇和叠氮化钠,考察了Cu0/Fe3O4复合物催化活化过一硫酸盐体系中的活性氧化物种.发现100 mmol/L乙醇的加入对污染物的降解无明显影响,而加入同等量的叠氮化钠可完全抑制污染物的降解,表明Cu0/Fe3O4复合物催化活化过一硫酸盐产生的主要活性氧物种为单线态氧.采用电子顺磁共振谱进一步证实了单线态氧的生成.基于以上研究,Cu0/Fe3O4复合物催化活化过一硫酸盐的机理为Cu0/Fe3O4作为一个电子媒介加速过一硫酸盐和污染物之间的电子转移,从而导致污染物被快速降解.该反应机理不同于常见的金属催化过一硫酸盐产生硫酸根和羟自由基的反应机理.我们推测,电导性优良的Cu0在此催化反应中起着关键性作用.本催化方法可作为一种绿色的氧化技术用于环境污染物的氧化降解处理.     

一种铈（Ⅲ）配合物对含石墨粘结涂层耐蚀性的影响

为了改善含石墨粘结涂层的耐蚀性，首先对这种涂层在腐蚀环境中耐蚀性差的原因进行了分析，然后将二正丁基磷酸、ＣｅＦ＿３、Ｓｂ＿２Ｏ＿３和一种Ｃｅ（Ⅲ）配合物Ｃｅ（ＮＯ＿３）（Ｃ＿８Ｈ＿（１８）ＰＯ＿４）＿２分别添加于酚醛环氧－ＭｏＳ＿２－石墨粘结涂层中，考察了它们对这种涂层耐蚀性的影响，并对含Ｃｅ（ＮＯ＿３）（Ｃ＿８Ｈ＿（１８）ＰＯ＿４）＿２的涂层和空白样涂层进行了表面分析。盐雾试验表明，添加Ｃｅ（ＮＯ＿３）（Ｃ＿８Ｈ＿（１８）ＰＯ＿４）＿２可以有效地抑制涂层中ＭｏＳ＿２的氧化和由石墨所引起的金属底材之电化学腐蚀；根据Ｘ射线光电子能谱分析结果可知，添加Ｃｅ（ＮＯ＿３）（Ｃ＿８Ｈ＿（１８）ＰＯ＿４）＿２之所以能够提高含石墨粘结涂层的耐蚀性，应当归因于它在ＭｏＳ＿２晶体表面和金属底材表面的吸附。因此，Ｃｅ（Ⅲ）配合物Ｃｅ（ＮＯ＿３）（Ｃ＿８Ｈ＿（１８）ＰＯ＿４）＿２是含石墨粘结涂层的一种实用性能良好的新型防腐添加剂。