利用非局域控制非门操作纯化三粒子纠缠态

提出了两套三粒子纠缠态的纯化方案.第一个方案选择部分纠缠GHZ态作为量子通道,利用具有一个控制位和一个靶位的非局域控制非门操作和采用集体么正操作及适当地制备三粒子A,B和C的初始态,可以以最佳几率2|β|2获得最大三粒子纠缠态.第二个方案选择EPR对作为量子通道,通过利用具有一个控制位和两个靶位的非局域控制非门操作和采用集体么正操作及适当地制备三粒子A,B和C的初始态,可以以与第一个方案相同的几率获得最大三粒子纠缠态.两个方案都可以推广到N粒子纠缠态的纯化.     

二粒子部分纠缠未知态的量子受控传递

提出了二粒子部分纠缠态的量子隐形传递控制方案.在该方案中,以四个二能级粒子GHZ态作为量子通道,把量子通道中的一个粒子作为控制粒子.在传递者和控制者进行一系列的量子操作和测量之后,根据他们的测量结果,接收者再进行适当的变换就能得到待传递粒子的量子态.     

利用部分纠缠的特殊二粒子W态和部分纠缠的二粒子态传送二粒子纠缠态

提出了利用部分纠缠的特殊二粒子W态和部分纠缠的二粒子态组成量子信道,隐形传送一个二粒子纠缠态的方案。发送者进行两次Bell基测量,接受者先在{|0〉,|1〉}基下进行一次测量,然后实施一次控制—非操作,最后引进一个辅助粒子并进行一组适当的幺正变换操作,便可以一定的概率实现二粒子纠缠态的隐形传送。分析表明:当量子信道处于最大纠缠,即信道由一个特殊二粒子W态和一个Bell态组成时,本方案的传输概率达到2/3,传输效果介于完全由W态组成量子信道与完全由Bell态组成量子信道的方案之间。     

基于纠缠交换和团簇态实现二粒子任意态的可控隐形传态

提出一个对二粒子任意态的可控隐形传态方案,利用四粒子团簇态作为量子信道,用EPR态实现控制.首先,发送者向控制者提出申请,控制者再对其拥有的2个粒子做Bell基测量,并把结果通知发送者,实现纠缠交换.然后,发送者对自己手中的四个粒子做适当的幺正变换,接着进行纽曼测量,并把结果通知接受者.接受者根据发送者的测量结果,对自己拥有的粒子做适当的幺正变换,就可以重建发送者的二粒子任意态.方案成功的概率为100%.     

基于纠缠交换和团簇态实现二粒子任意态的可控隐形传态

提出一个对二粒子任意态的可控隐形传态方案,利用四粒子团簇态作为量子信道,用EPR态实现控制.首先,发送者向控制者提出申请,控制者再对其拥有的2个粒子做Bell基测量,并把结果通知发送者,实现纠缠交换.然后,发送者对自己手中的四个粒子做适当的幺正变换,接着进行纽曼测量,并把结果通知接受者.接受者根据发送者的测量结果,对自己拥有的粒子做适当的幺正变换,就可以重建发送者的二粒子任意态.方案成功的概率为100%.     

利用Raman相互作用实现二粒子纠缠态的量子受控传递

利用A型三能级原子与相干态光场的Raman相互作用,制备出原子与腔场的四粒子纠缠态,用该纠缠态作为量子信道,把量子信道中的一个粒子作为控制粒子,我们可以实现对未知的两粒子纠缠态的量子受控传递.基于目前的腔量子电动力学的实验技术,简单讨论了我们方案的实验可行性.     

一个基于三粒子部分纠缠态的量子广播多重盲签名协议

最近有研究者提出了一个基于三粒子最大纠缠态GHZ态的量子广播多重盲签名协议,它能满足一个重要消息需要多人签发,但出于隐私保护要求每一个签名者都不能获取消息的具体内容这一应用需求,并有望应用于电子银行系统.本文给出了一个基于三粒子部分纠缠态的量子广播多重盲签名协议,与原协议相比,该协议用三粒子部分纠缠态代替三粒子极大纠缠GHZ态,并且能不降低协议的安全性.新协议不再依赖于极大纠缠态,仅仅需要在通信参与者之间分享部分纠缠态就可以完成该签名方案,这在一定程度上节约了纠缠资源,降低了协议的实现条件,提高了协议的可应用性.这也充分体现了多体部分纠缠态也可以作为一种量子资源来实现既定的量子通信任务.     

利用非Bell基测量实现两粒子纠缠态的隐形传输

研究无Bell基测量的未知两粒子纠缠态的隐形传态方案。Alice需传送未知两原子纠缠态给Bob,以她和Bob的原子组成的最大纠缠GHZ态作为量子信道,通过两原子同时在一个强经典驱动场驱动下和一个单模腔场发生相互作用,产生态的演化,从而实现隐形传态。本方案可忽略腔场热作用和腔延迟作用的影响,传送成功的总几率为1。     

用非最大纠缠信道对任意二粒子纠缠态的量子秘密分享

提出一个对任意二粒子纠缠态在N者之间的量子秘密分享方案,该方案利用非最大纠缠Einstein-Podolsky-Rosen(EPR)对作为量子信道,利用广义的贝尔基进行测量.接收者通过引入辅助粒子,并对其做选择性测量,就会概率性地得到最初的量子态. 关键词： 非最大纠缠的Einstein-Podolsky-Rosen(EPR)对 广义的贝尔测量     

Teleporting a quantum controlled-Not with one target/two targets gate using two partially entangled states

This paper considers the teleportation of quantum controlled-Not (CNOT) gate by using partially entangled states. Different from the known probability schemes, it presents a method for teleporting a CNOT gate with unit fidelity and unit probability by using two partially entangled pairs as quantum channel. The method is applicable to any two partially entangled pairs satisfying the condition that their smaller Schmidt coefficients μ and ν are (2μ + 2ν - 2μν - 1)≥0. In this scheme, the sender's local generalized measurement described by a positive operator valued measurement (POVM) lies at the heart. It constructs the required POVM. It also puts forward a scheme for teleporting a CNOT with two targets gate with unit fidelity by using same quantum channel. With assistance of local operations and classical communications, three spatially separated users are able to complete the teleportation of a CNOT with two targets gate with probability of (2μ + 2ν- 1). With a proper value of μ and ν, the probability could reach nearly 1.     

Remote interactions between two d-dimensional distributed quantum systems： nonlocal generalized quantum control-NOT gate and entanglement swapping

We present a systematic simple method to implement a generalized quantum control-NOT （CNOT） gate on two d-dimensional distributed systems. First, we show how the nonlocal generalized quantum CNOT gate can be implemented with unity fidelity and unity probability by using a maximally entangled pair of qudits as a quantum channel. We also put forward a scheme for probabilistically implementing the nonlocal operation with unity fidelity by employing a partially entangled qudit pair as a quantum channel. Analysis of the scheme indicates that the use of partially entangled quantum channel for implementing the nonlocal generalized quantum CNOT gate leads to the problem of ＇the general optimal information extraction＇. We also point out that the nonlocal generalized quantum CNOT gate can be used in the entanglement swapping between particles belonging to distant users in a communication network and distributed quantum computer.[第一段]     

The non—local implementation of a CNOT gate and single—qubit rotation

We show how a CNOT gate and single-qubit rotation can be implemented non-locally,We also report on the quantitative relations between these quantum actions,entanglement and classical communication resources required in the implementation.     

Quantum circuits for realizing deterministic and exact teleportation via two partially entangled pairs of particles

Deterministic and exact teleportation can be achieved via two partially entangled pairs of particles [Gu Y J 2006 {\em Opt. Comm.} {\bf 259} 385]. The key point of the protocol is a generalized measurement described by a positive operator-valued measure, which can be realized by performing a unitary operation in the extended space and a conventional Von Neumann orthogonal measurement. By decomposing the evolution process from the initial state to the final state, we construct the quantum circuits for realizing the unitary operation with quantum Toffoli gates, and thus provide a physical means to realize the teleportation. Our method for constructing quantum circuits differs from the usual methods based on decomposition of unitary matrices, and is convenient for a large class of quantum processes involving generalized measurements.     

Symmetry properties of nonlocal quark bilinear operators on a Lattice(LP~3 Collaboration)

Using symmetry properties, we determine the mixing pattern of a class of nonlocal quark bilinear operators containing a straight Wilson line along a spatial direction. We confirm the previous study that mixing among the lowest dimensional operators, which have a mass dimension equal to three, can occur if chiral symmetry is broken in the lattice action. For higher dimensional operators, we find that the dimension-three operators will always mix with dimension-four operators, even if chiral symmetry is preserved. Also, the number of dimension-four operators involved in the mixing is large, and hence it is impractical to remove the mixing by the improvement procedure. Our result is important for determining the Bjorken-x dependence of the parton distribution functions using the quasi-distribution method on a Euclidean lattice. The requirement of using large hadron momentum in this approach makes the control of errors from dimension-four operators even more important.     

Optical Fresnel Transform as a Correspondence of the SU(1,1) Squeezing Operator Composed of Quadratic Combination of Canonical Operators and the Entangled State

We study optical Fresnel transforms by finding the appropriate quantum mechanical SU(1,1) squeezing operators which are composed of quadratic combination of canonical operators. In one-mode case, the squeezing operator's matrix element in the coordinate basis is just the kernel of one-dimensional generalized Fresnel transform (GFT); while in two-mode case, the matrix element of the squeezing operator in the entangled state basis leads to the two-dimensional GFT kernel. The work links optical transforms in wave optics to generalized squeezing transforms in quantum optics.     

Analysis of an optical logic gate using a symmetric coupler operating with pulse position modulation (PPM)

In this paper we propose the operation of an all-optical logical gate based in a symmetric nonlinear directional coupler (NLDC) operating with a pulse position modulation (PPM). The performance of a symmetric NLDC realizing two-input AND/OR logical functions, which can be applied in transmission and processing of signals in all-optical form in TDM systems, is examined. This integrated symmetric NLDC logical gate operates with two ultrashort soliton light pulses (2 ps), which are modulated in agreement with the technique of pulse position modulation (PPM). Initially, we evaluate the effect resulting of an increment in the PPM coding parameter offset (ε), for the temporal position of the output pulse, considering the anomalous group-velocity dispersion (GVD), nonlinear self phase modulation (SPM) and without loss propagation regime of input pulses, in the cores 1 and 2 of the NLDC. In this situation, we analyze the four possible situations for the two-input logical gate, modulating the 1 and 2 input pulses through temporal displacement and allowing a variation in the coding parameter offset. We can conclude that is possible to get AND/OR logical operations for the cores 1 or 2, without to insert PPM error, since a phase control (Δ?) exists applied in agreement with the logical level of the input pulse in the core 1. Finally we define the truth table, considering the adequate phase difference and coding parameter offset for the stable operation of the AND/OR logical gate based in the symmetric NLDC.     

Multiparty-controlled teleportation of an arbitrary GHZ-class state by using a d-dimensional (N+2)-particle nonmaximally entangled state as the quantum channel

We present a scheme for multiparty-controlled teleportation of an arbitrary high-dimensional GHZ-class state with a d-dimensional (N+2)-particle GHZ state following some ideas from the teleportation (Chinese Physics B, 2007, 16: 2867). This scheme has the advantage of transmitting much fewer particles for controlled teleportation of an arbitrary multiparticle GHZ-class state. Moreover,we discuss the application of this scheme by using a nonmaximally entangled state as its quantum channel.