负值量子条件熵与双量子系统一类混合态纠缠量度

运用负值量子条件熵研究了双量子系统一类混合态的纠缠量度.给出了负值量子条件作为条件熵纠缠度的定义，证明了条件熵纠缠满足作为2×2系统一类混合纠缠态量度的四个基本条件.当双量子系统处于纯态时，条件熵纠缠度即为部分熵纠缠度.应用条件熵纠缠度研究了真空腔场中两全同二能级原子之间纯态和一类混合态纠缠的时间演化，比较了相同条件下两全同原子系统concurrence纠缠度的时间演化.结果表明，两纠缠度演化规律完全一致，验证了负值量子条件熵可以作为双量子系统纯态和一类混合态的纠缠量度. 关键词： 双量子系统 负值量子条件熵 条件熵纠缠度 混合态纠缠度     

量子纯态的纠缠度

纠缠态在量子计算和量子通讯中起着重要作用.考虑了量子纯态在时间反演变换下的行为以及相应的密度矩阵在Hilbert-Schmidt空间中的表示,并由此对纠缠度给出较为直观的几何解释. 关键词：     

C~2C~n量子系统的最大纠缠混合态

讨论了C~2C~n量子系统的最大纠缠混合态,得到了Negativity纠缠度下的最大纠缠混合态的解析结果,并计算了该态在非满秩情形下的量子相对熵纠缠度。     

C2(×)Cn量子系统的最大纠缠混合态

讨论了C2(×)Cn量子系统的最大纠缠混合态,得到了Negativity纠缠度下的最大纠缠混合态的解析结果,并计算了该态在非满秩情形下的量子相对熵纠缠度.     

二非正交纯态相混合的concurrence

导出了两量子比特中二非正交纯态相混合的concurrence 的明显表达式, 并作了验证. 推算表明，正交情形下的concurrence公式可以直接推广到非正交的情形. 讨论了两纯态相混合的最大纠缠混合态和一些重要特殊情形. 关键词： 量子纠缠 纯态 混合态 concurrence     

基于混合纠缠态的概率隐形传态

为了在实际中更好的利用隐形传态方案去传送信息,给出了以混合纠缠态为资源来传送未知混合态的概率隐形传态方案,分析了以混合纠缠态为资源的隐形传送 未知量子态成功概率的上界.研究发现,作为信道资源的混合纠缠态的最小特征值决定了隐形传态的成功概率上界,此结果可视作纯态的隐形转移方案到混合态情形的推广.     

从混合态构造相应的系统-热库纠缠纯态的新方法

在量子统计学和低温物理学中,常用密度算符(或混合态)来表示物理系综.本文旨在提出一个新方法能将混合态转化为系统与热库相纠缠的量子纯态,这样做不但可以彰显环境对系统的影响,探寻新的物理态,尤其是纠缠态,而且能将求系综平均的复杂计算转化为较为简洁的求纯态平均.我们的新方法是将相干态和有序算符内的积分理论结合起来,就可直接将混合态扩充为自由度加倍的纯态.     

基于Rényi-α熵的参数化纠缠度量

与各种非参数化纠缠度量相比,参数化纠缠度量显示了其优越性.并发纠缠被广泛用于描述量子实验中的纠缠.作为一种纠缠度量,它与特定Rényi-α熵有关.本文提出了一种基于Rényi-α熵的参数化两体纠缠度量,命名为α-对数并发纠缠.与现有的参数化度量不同,首先定义了纯态的度量,然后推广到混合态.进一步验证了α-对数并发纠缠满足纠缠度量3个条件.展示了对纯态的度量是容易计算的,然而对于混合态,解析计算只适用于特殊的双量子位态或特殊的高维混合态.因此,本文致力于建立一般两体态α-对数并发纠缠的一个下界.令人惊讶的是,这个下界是这个混合态的正部分转置判据和重排判据的函数.这表明了3种纠缠度量之间的联系.有趣的是,下界依赖于与具体态相关的熵参数.这样我们可以选择适当的参数α,使得G_α(ρ)?0用于特定态ρ的实验纠缠检测.此外,计算了isotropic态的α-对数并发纠缠的表达式,并给出了d=2时isotropic态的解析表达式.最后,讨论了α-对数并发纠缠的的单配性.建立了两个量子比特系统中并发纠缠和α-对数并发纠缠之间的函数关系,然后得到了该函数的一些有用性质,并结合Coff...     

电荷量子比特与量子化光场之间的纠缠

研究了初态为混合态的电荷量子比特与量子化光场之间的纠缠.通过求解系统的concurrence下限, 研究初态的混合度λ和失谐量Δ对系统纠缠随时间演化的影响. 在弱场中, 电荷量子比特初始是激发态的系统, 其纠缠度远远大于电荷量子比特初始是基态的系统, 并且Δ对系统的纠缠有明显的抑制作用. 在强场中, 电荷量子比特初始分别为激发态和基态时系统的纠缠演化接近一致, 初态混合度最高时系统的纠缠度最小, 并且Δ对系统纠缠的影响变弱. 关键词： 约瑟夫森结 纠缠 混合态 concurrence下限     

双模最小关联混合态作为量子信道实现量子隐形传态的保真度

基于Braunstein和Kimble提出的B-K方案以双模最小关联混合态作为量子信道实施对未知量子态的隐形传送，并以传送相干态为例进行了研究.结果表明：双模最小关联混合态作为一种广义的Einstein-Podolsky-Rosen型纠缠态在实现量子隐形传态中能很好地担当量子信道的角色，在纠缠度和压缩度选择适当的条件下被传送未知量子态的保真度可以达到1.这是比双模压缩真空态更优越的量子信道. 关键词： 量子隐形传态 双模最小关联混合态 保真度     

D-T中子源n-γ密度测井规律的蒙特卡罗模拟

根据D-T反应中子的能谱和角分布数据,建立了中子源模型;根据石灰岩地层标准刻度井群数据,建立了井模型。采用MCNP程序模拟了井中中子和射线的输运,得到了不同地层密度、不同源距处NaI探测器中的混合能谱和非弹能谱。在混合能谱2.5~4.5 MeV能区开窗,混合射线相对计数随源距的变化曲线显示,源距应选择在20~80 cm,密度与混合射线计数之间呈现非线性关系。在非弹能谱1.0~8.0 MeV能区开窗,非弹射线相对计数随源距的变化数据显示,源距应选择在20~40 cm或80 cm附近,密度与非弹射线计数之间成近似线性关系。     

The density matrix of scattered particles

The derivation of the expression for the density matrix of scattered particles in terms of that of the incident ones, taking different impact parameters into account, shows that under well-specified and realistic conditions, the final density matrix is of the same kind as the initial one. Thus the final mixed state after a collision can be used directly as the initial mixed state in a subsequent collision. Contrary to a recent claim by Band and Park, there are no “fundamental difficulties with quantum mechanical collision theory.”     

Nonadiabatic Geometric Phases Induced by Master Equation in Open Quantum System

By seeking for a useful generic solution of Lindblad master equation, we find that the density matrix of mixed state carries with the geometric messages, where the density matrix of mixed state is expanded in terms of a complete set of normalized, traceless and Hermitian matrices together with a unit matrix in a Hilbert space. Our approach to the geometric phases of mixed state are directly from the master equation describing a dynamic evolution of open system and therefore may be conceptually useful in analyzing the geometric phases of mixed state. An example is discussed for the nuclear-magnetic-resonance system interacting with its surrounding environment.     

Spectral density of surface states for TiO and VO: (001) surface

We present a calculation of the spectral density of states for crystals of TiO and VO with (001) cleaved surfaces. The transfer matrix formalism is employed, with a hamiltonian including the O 2p and the metal 3d orbitals. Slater-Koster parameters obtained by Mattheiss (1972) from a bulk calculation are used. The results are obtained at three special points in the 2D Brillouin zone for three different (001) planes: surface plane, plane immediately below it and bulk plane. In the neighborhood of the point M there is an intrinsic surface state and a surface resonance due to the hybridization between ligand and metal orbitals. The surface state has mixed e_g and p_z symmetry along the Σ symmetry line and lies above the Fermi level. No surface relaxation or reconstruction is considered.     

Parameter estimation with mixed quantum states

We consider quantum enhanced measurements with initially mixed states. We show very generally that for any linear propagation of the initial state that depends smoothly on the parameter to be estimated, the sensitivity is bound by the maximal sensitivity that can be achieved for any of the pure states from which the initial density matrix is mixed. This provides a very general proof that purely classical correlations cannot improve the sensitivity of parameter estimation schemes in quantum enhanced measurement schemes.     

Effects of the Sagittarius dwarf tidal stream on dark matter detectors

The Sagittarius dwarf tidal stream may be showering dark matter onto the solar neighborhood, which can change the results and interpretation of direct detection searches for weakly interacting massive particles (WIMPs). Stars in the stream may already have been detected in the solar neighborhood, and the dark matter in the stream is (0.3-25)% of the local density. Experiments should see an annually modulated steplike feature in the energy recoil spectrum that would be a smoking gun for WIMP detection. The total count rate in detectors is not a cosine curve in time and peaks at a different time of year than the standard case.     

Tensor product representation of qubit and its transform under linear-operator action

The general one-particle spin states are considered. It is shown that information contained in a spin-1/2 state can be recorded in an equivalent form with the help of three mixed completely decoherent qubit states. The density matrix of such a system has the form of the tensor product of three diagonal matrices. The linear operator defined in the space of one-particle spin states generates some transform of the tensor products of the diagonal matrices. We construct this transform in the explicit form.     

Quantum Mechanical Nature in Liquid NMR Quantum Computing

The quantum nature of bulk ensemble NMR quantum computing the center of recent heated debate,is addressed. Concepts of the mixed state and entanglement are examined, and the data in a two-qubit liquid NMRquantum computation are analyzed. The main points in this paper are: i) Density matrix describes the “state“ of anaverage particle in an ensemble. It does not describe the state of an individual particle in an ensemble; ii) Entanglementis a property of the wave function of a microscopic particle (such as a molecule in a liquid NMR sample), and separabilityof the density matrix cannot be used to measure the entanglement of mixed ensemble; iii) The state evolution in bulk-ensemble NMRquantum computation is quantum-mechanical; iv) The coefficient before the effective pure state densitymatrix, e, is a measure of the simultaneity of the molecules in an ensemble. It reflects the intensity of the NMR signaland has no significance in quantifying the entanglement in the bulk ensemble NMR system. The decomposition of thedensity matrix into product states is only an indication that the ensemble can be prepared by an ensemble with theparticles unentangled. We conclude that effective-pure-state NMR quantum computation is genuine, not just classicalsimulations.     

Evaluation of the density matrix for an ensemble of anharmonic oscillators by a path integral approach

Considering the Feynman path integral representation for the configuration-space density matrix for an ensemble of anharmonic oscillators, we determine the stationary paths near which the integrand remains stationary. By taking the path integral to be saturated by contributions from the neighborhood of the path which maximizes the integrand we evaluate the density matrix explicitly in analytic form. This seems to be the first such evaluation of a path integral for a system not describable by a quadratic Hamiltonian. We also comment briefly on the question of analyticity with respect to the perturbation parameter.     

Can one detect the state of an individual system?

Some interpretations of quantum mechanics regard a mixed quantum state as a ensemble, each individual member of which has a definite but unknown state vector. Other interpretations ascribe a state vector only to anensemble of similarly prepared systems, but not to anindividual. Previous attempts to detect the hypothetical individual state vectors have failed, essentially because the state operator (density matrix) enters the relevant equations linearly. An example from nonlinear dynamics, in which a density matrix enters nonlinearly, is examined because it might appear to circumvent this difficulty. However, it is shown that the hypothetical individual state vectors can not be detected this way, so the adequacy of theensemble interpretation survives a critical test.