Wigner Function：from Ensemble Average of Density Operator to Its Matrix Element in Entangled Pure States

We show that the Wigner function (an ensemble average of the density operator ρ, Δ is the Wigner operator) can be expressed as a matrix element of ρ in the entangled pure states. In doing so, converting from quantum master equations to time-evolution equation of the Wigner functions seems direct and concise. The entangled states are defined in the enlarged Fock space with a fictitious freedom.

Probabilistic teleportation of an arbitrary pure state of two atoms

In the context of microwave cavity QED, this paper proposes a new scheme for teleportation of an arbitrary pure state of two atoms. The scheme is very different from the previous ones which achieve the integrated state measurement, it deals in a probabilistic but simplified way. In the scheme, no additional atoms are involved and thus only two atoms are required to be detected. The scheme can also be used for the teleportation of arbitrary pure states of many atoms or two-mode cavities.

Two-qubit pure state tomography by five product orthonormal bases

In this paper, we focus on two-qubit pure state tomography. For an arbitrary unknown two-qubit pure state, separable or entangled, it has been found that the measurement probabilities of 16 projections onto the tensor products of Pauli eigenstates are enough to uniquely determine the state. Moreover, these corresponding product states are arranged into five orthonormal bases. We design five quantum circuits, which are decomposed into the common gates in universal quantum computation, to simulate the five projective measurements onto these bases. At the end of each circuit, we measure each qubit with the projective measurement {｜0〉〈0 ｜,｜1〉,〈1｜ }. Then, we consider the open problem whether three orthonormal bases are enough to distinguish all two-qubit pure states. A necessary condition is given. Suppose that there are three orthonormal bases {B1,B2,B3}. Denote the unitary transition matrices from B1 to {B2,B3 } as U1 and U2. All 32 elements of matrices U1 and U2 should not be zero. If not, these three bases cannot distinguish all two-qubit pure states.

Simple Procedure for Entanglement Transformation of Bipartite Pure States

An explicit procedure for transforming one bipartite entangled state into another via local operations and classical communication （LOCC） is presented. Our procedure is much simper than the previous ones in the sense that, it only involves two steps and the explicit expression of local general measurement used in the procedure can be obtained by solving a set of linear equations. Furthermore, this procedure is still applicable in high dimensional case.

Separability of Pure States and Mixed States of the Quantum Network of Two Nodes

This article discusses the separability of the pure states and mixed states of the quantum network of two nodes by means of the criterion of no entanglement in terms of the covariance correlation tensor in quantum network theory, i.e. for a composite system consisting of two nodes. The covariance correlation tensor is equal to zero for all possible and .

Generation of Arbitrary Pure States for Three-dimensional Motion of a Trapped Ion

In this paper, we propose a scheme for generating an arbitrary three-dimensional pure state of vibrational motion of a trapped ion. Our scheme is based on a sequence of laser pulses, which are tuned to the appropriate vibrational sidebands with respect to the appropriate electronic transition.

PURE STATE APPROACH TO C(X) x_αZ_n

Consider a C*-system (C(X), z n, α), where α is a homeomorphism of X such that α￣n= id.The authors characterize the pure state space of C(X) xα z n) the transition probability and orientation on it. Two special cases (free action and n = 2) are studied in detail.

Analytic Expression of Geometric Discord in Arbitrary Mixture of any Two Bi-qubit Product Pure States

Quantum correlations in a family of states comprising any mixture of a pair of arbitrary bi-qubit product pure states are studied by employing geometric discord [Phys. Rev. Lett. 105(2010) 190502] as the quantifier. First, the inherent symmetry in the family of states about local unitary transformations is revealed. Then, the analytic expression of geometric discords in the states is worked out. Some concrete discussions and analyses on the captured geometric discords are made so that their distinct features are exposed. It is found that, the more averagely the two bi-qubit product states are mixed, the bigger geometric discord the mixed state owns. Moreover, the monotonic relationships of geometric discord with different parameters are revealed.

Quantum entanglement swapping of two arbitrary biqubit pure states

In this paper, the issue of swapping quantum entanglements in two arbitrary biqubit pure states via a local bipartite entangledstate projective measure in the middle node is studied in depth, especially with regard to quantitative aspects. Attention is mainly focused on the relation between the measure and the final entanglement obtained via swapping. During the study, the entanglement of formation(EoF) is employed as a quantifier to characterize and quantify the entanglements present in all involved states. All concerned EoFs are expressed analytically; thus, the relation between the final entanglement and the measuring state is established.Through concrete analyses, the measure demands for getting a certain amount of a final entanglement are revealed. It is found that a maximally entangled final state can be obtained from any two given initial entangled states via swapping with a certain probability;however, a peculiar measure should be performed. Moreover, some distinct properties are revealed and analyzed. Such a study will be useful in quantum information processes.

Quantum secure direct communication with quantum encryption based on pure entangled states

This paper presents a scheme for quantum secure direct communication with quantum encryption. The two authorized users use repeatedly a sequence of the pure entangled pairs （quantum key） shared for encrypting and decrypting the secret message carried by the travelling photons directly. For checking eavesdropping, the two parties perform the single-photon measurements on some decoy particles before each round. This scheme has the advantage that the pure entangled quantum signal source is feasible at present and any eavesdropper cannot steal the message.

Entropy product measure for multipartite pure states

An entanglement measure for multipartite pure states is formulated using the product of the von Neumann entropy of the reduced density matrices of the constituents. Based on this new measure, all possible ways of the maximal entanglement of the triqubit pure states are studied in detail and all types of the maximal entanglement have been compared with the result of ‘the average entropy’. The new measure can be used to calculate the degree of entanglement, and an improvement is given in the area near the zero entropy.

Probabilistic teleportation of an arbitrary GHZ-class state with a pure entangled two-particle quantum channel and its application in quantum state sharing

This paper presents a scheme for probabilistic teleportation of an arbitrary GHZ-class state with a pure entangled two-particle quantum channel. The sender Alice first teleports the coefficients of the unknown state to the receiver Bob, and then Bob reconstructs the state with an auxiliary particle and some unitary operations if the teleportation succeeds. This scheme has the advantage of transmitting much less particles for teleporting an arbitrary GHZ-class state than others. Moreover, it discusses the application of this scheme in quantum state sharing.

Multiparty quantum secret conference based on quantum encryption with pure entangled states

We present a scheme for multiparty quantum remote secret conference （MQRSC） with pure entangled states, not maximally entangled multipartite quantum systems. The conferees first share a private quantum key, a sequence of pure entangled states and then use them to encode and decode the secret messages. The conferees exploit the decoy-photon technique to ensure the security of the transmission of qubits. This MQRSC scheme is more feasible and efficient than others.

基于改进纯跟踪的低速智能汽车路径跟踪控制

传统纯跟踪控制器在面向实际应用时往往难以较好地处理传感器信号延时、执行器响应滞后等因素带来的控制滞后问题以及欠缺内外部扰动干预下的自主抗干扰能力;同时在跟踪临近终点的目标点时,因前视距离作为控制律的分母且逐渐减小,导致输入转角值发生突变且伴随方向盘出现不稳定地晃动现象,影响行驶稳定性及人员乘坐体验感。针对此,提出了一种基于改进纯跟踪的路径跟踪控制器。首先,构建了纯跟踪控制器的基础模型并为改善纯跟踪控制的滞后影响,建立了一种结合规划路径和规划速度信息的道路预瞄模型。然后考虑系统因内部及外部环境影响产生的未知干扰并设计非线性扩张状态观测器(nonlinear expanded state observer,NESO)进行扰动估计及实时补偿,以提升纯跟踪控制器的抗干扰能力。并进一步通过转向稳定调节模型以改善纯跟踪控制器临近终点时的转角突变问题。最终,基于软件在环动力学仿真平台以不同初始航向及存在初始偏差工况下测试所提控制器的有效性,并进一步在实车平台进行闭环测试验证,实验结果表明改进的纯跟踪算法具有良好的跟踪精度和转向平顺性。

Monogamous nature of symmetric N-qubit states of the W class: Concurrence and negativity tangle

Using Majorana representation of symmetric N-qubit pure states, we have examined the monogamous nature of the family of states with two-distinct spinors, the W class of states. We have evaluated the N-concurrence tangle and showed that all the states in this family have vanishing concurrence tangle. The negativity tangle for the W class of states is shown to be non-zero, illustrating the fact that the concurrence tangle is always lesser than or equal to the negativity tangle in a pure N-qubit state.

混菌固态发酵清香型白酒糟制备蛋白饲料的研究

研究以清香型白酒糟为原料,添加酿酒酵母SY、枯草芽孢杆菌D和植物乳杆菌2-41进行混菌固态发酵,制备蛋白饲料。探索麸皮添加量对混菌固态发酵饲料质量的影响,优化发酵培养基配比后,采用单因素试验和正交试验,以酒糟饲料的粗蛋白含量为考察指标,研究发酵温度、发酵时间、菌种接种量和发酵培养基初始酸度对混菌固态发酵饲料质量的影响,从而优化混菌固态发酵工艺条件。结果显示,清香型白酒糟发酵培养基的最佳酒糟和麸皮比为9∶1,在酒糟初始水分为50%~60%的条件下,发酵培养基总装料量为50 g,其中清香型白酒糟45 g,麸皮5 g。混菌固态发酵最优工艺条件为菌种接种量13%、发酵温度26℃、发酵时间6 d、初始酸度0.90 mmol NaOH/10 g。在此混菌固态发酵工艺条件下进行3组平行试验,测得酒糟饲料中粗蛋白含量为(24.97±0.05)%,感官评价最终得分18分,等级为优良。研究结果对混菌固态发酵酒糟制备蛋白饲料具有一定的指导价值。

纯氢管道泄漏扩散规律研究

为了有效减少纯氢管道泄漏引发的消防安全事故,采用数值模拟方法研究了纯氢管道不同位置泄漏时氢气的扩散规律和分布状态,并结合已有文献的相关数据验证了仿真模型的准确性。模拟结果表明:纯氢管道泄漏后会在泄漏孔附近形成仅有少量扩散的射流区域。由于空气浮力的作用,管道下方泄漏时在泄漏孔附近的氢气分布呈倒锥形,侧方泄漏时氢气云团末端明显向上偏移。在4 MPa压力和泄漏孔直径2 mm条件下,氢气传感器与管道的最佳距离为0.25 m。管道上方、下方和侧方泄漏时,泄漏方向上0.25 m处的氢气浓度分别在80 s、30 s和60 s后趋于稳定。在对纯氢管道进行泄漏监测时,可先通过数值模拟分析确定氢气传感器的最佳位置,以提高其泄漏监测范围,防范管道燃爆事故的发生。

Perfect Quantum Teleportation via Bell States

Quantum mechanics shows superiority than classical mechanics in many aspects and quantum entanglement plays an essential role in information processing and some computational tasks such as quantum teleportation(QT).QT was proposed to transmit the unknown states,in which EPR pairs,the entangled states,can be used as quantum channels.In this paper,we present two simple schemes for teleporting a product state of two arbitrary single-particle and an arbitrary two-particle pure entangled state respectively.Alice and Bob have shared an entangle state.Two Bell states are used as quantum channels.Then after Alice measuring her qubits and informing Bob her measurement results,Bob can perfectly reconstruct the original state by performing corresponding unitary operators on his qubits.It shown that a product state of two arbitrary single-particle and an arbitrary two-particle pure entangled state can be teleported perfectly,i.e.the success probabilities of our schemes are both 1.

Degree of Entanglement and Violation of Bell Inequality by Two-Spin-1/2 States

Bell inequality is violated by the quantum mechanical predictions made from an entangled state of the composite system. In this paper we examine this inequality and entanglement measures in the construction of the coherent states for two-qubit pure and mixed states, we find a link to some entanglement measures through some new parameters （amplitudes of coherent states）. Conditions for maximal entanglement and separability are then established for both pure and mixed states. Finally, we analyze and compare the violation of Bell inequality for a class of mixed states with the degree of entanglement by applying the formalism of Horodecki et al.

Spin squeezing in Dicke-class of states with non-orthogonal spinors

The celebrated Majorana representation is exploited to investigate spin squeezing in different classes of pure symmetric states of N qubits with two distinct spinors, namely the Dicke-class of states. On obtaining a general expression for spin squeezing parameter, the variation of squeezing for different configurations is studied in detail. It is shown that the states in the Dicke-class, characterized by two-distinct non-orthogonal spinors, exhibit squeezing.