Energy Spectrum Symmetry of Heisenberg Model in Fock Space

We extend the BCS paring model with equally spaced energy levels to a general one-dimensional spin-1/2 Heisenberg model The two well-known symmetries of the Heisenberg model, i.e. permutational and spin-inversion symmetries, no longer exist. However, when jointing these two operations together, we find a new symmetry of energy spectrum between its subspace n and subspace L - n of the Fock space. A rigorous proof is presented.     

利用核磁共振产生无耦合自旋之间的纠缠

纠缠是量子信息中重要的资源,因此产生纠缠是实现量子信息处理的一项基本任务.通常,用整体操作和纠缠交换等方法可以产生纠缠.在大多数的物理体系中,量子位之间没有相互作用,但需要产生它们之间的纠缠.在这种情况下,如何产生纠缠?并且,产生纠缠需要预先的纠缠吗?     

Decoherence for a two-qubit system in a spin-chain environment

The quantum coherence and correlation dynamics for a two-qubit system in the Ising spin-chain environment are studied. A sudden change of coherence is found near the critical point, which provides us with an effective way to detect the quantum phase transition. By studying the relationship between quantum discord and coherence, we find that coherence displays the behavior of classical correlation for t t_0, and of quantum discord for t t_0, where t_0 is the time-point of a sudden transition between classical and quantum decoherence.     

Entanglement Dynamics of Quantum States Undergoing Decoherence from a Driven Critical Environment

In this paper,we have investigated the quantum entanglement of quantum states undergoing decoherence from a spin environment which drives a quantum phase transition.From our analysis,we find that the entanglement dynamics depends not only on the coupling strength but also on the external magnetic field and the number of the freedom degrees of the environment.Specially,our results imply that the decay of the entanglement can be enhanced by the quantum phase transition of the environment when the system is coupled to the environment weakly.Additionally,the discussion of the case of the multipartite states with high dimensions is made.     

基于加权支持向量机的VaR计算方法研究

针对统计学框架下传统VaR计算方法的不足，发展了基于加权支持向量机（W—SVM）的VaR计算新方法．为了在VaR模型中计入金融时间序列的记忆效应，采用最优市场因子作为支持向量机的加权模型．对2001—2009年上证综指的实证研究表明，基于W—SVM的VaR模型优于传统的VaR方法，在小样本、厚尾、非线性及有异常波动的市场条件下，各种置信度下的W—SVM方法均能取得较好的性能．     

A Simplified and Obvious Expression of Concurrence in Wootters‘ Measure of Entanglement of a Pair of Qubits

We obtain a simplified and obvious expression of“concurrence” in Wootters‘ measure of entanglement of a pair of qubits that have no more than two non-zero eigenvalues in terms of the concurrences of eigenstates and theirsimple combinations. It not only simplifies the calculation of Wootters‘ measure of entanglement, but also revealssome general and important features. Our conclusions are helpful for the further understanding and applicationof quantum entanglement.     

3粒子体系的纠缠演化

量子纠缠是量子信息处理的重要资源,量子纠缠的产生、分发和演化的研究对量子信息处理任务具有重要的意义.所有量子纠缠的演化指的是量子纠缠度的动力学过程. 在研究量子纠缠演化已有的工作中,大多基于定性的讨论或者近似的(短时)结果.为能更清楚的了解量子纠缠演化对于量子信息处理任务的影响,我们研究了3粒子体系的纠缠在量子噪声信道中的演化过程.我们发现(1)在特定的噪声信道中,可分态能够产生纠缠,并给出了纠缠演化的解析形式.(2)对GHZ态,其纠缠不随时间改变等等.这些发现对于我们研究量子纠缠在量子噪声信道中的演化提供必要的条件.     

N-叔丁氧羰基-3-羟基-1-金刚烷基甘氨酸的合成

以金刚烷甲酸(1)为起始原料,经过酰化,取代,脱羧三步反应一锅法制得金刚烷甲基酮(2),然后氧化甲基得到1-金刚烷基乙醛酸(3),将3与盐酸羟氨反应得到1-金刚烷乙醛酸肟(4),还原4并用BOC酸酐保护氨基得到N-叔丁氧羰基-1-金刚烷基甘氨酸(5),最后经高锰酸钾氧化得到DPP-IV抑制剂沙格列汀中间体N-叔丁氧羰基-3-羟基-1-金刚烷基甘氨酸(6),总收率28%。