Dynamics of the entanglement witness for three qubits in common environment

In the measurement-based model of quantum computing, a one-way quantum computer consisting of many qubits can be immersed in a common environment as a simple decoherence mechanism. This paper studies the dynamics of entanglement witness for 3-qubit cluster states in the common environment. The result shows that environment can induce an interesting feature in the time evolution of the entanglement witness： i.e., the periodical collapse and revival of the entanglement dynamics.

Quantum Entanglement Dynamics of Two Atoms in Quantum Light Sources

Quantum entanglement dynamics of two Tavis-Cummings atoms interacting with the quantum light sourcesin a cavity is investigated.The results show the phenomenon that the concurrence disappears abruptly in a finite time,which depends on the initial atomic states and the properties of squeezed states.We find that there are two decoherencefreestates in squeezed vacuum fields:one is the singlet state,and the other entangled state is the state that combinesboth excited states and ground states with a relative phase being equal to the phase of the squeezed state.

Entanglement of linear cluster states in terms of averaged entropies

An entanglement measure,multiple entropy measures(MEMS) was proposed recently by using the geometric mean of partial entropies over all possible i-body combinations of the quantum system.In this work,we study the average subsystem von Neumann entropies of the linear cluster state and investigated the quantum entanglement of linear cluster states in terms of MEMS.Explicit results with specific particle numbers are calculated,and some analytical results are given for systems with arbitrary particle numbers.Compared with other example quantum states such as the GHZ states and W states,the linear cluster states are "more entangled" in terms of MEMS,namely their averaged entropies are larger than the GHZ states and W states.

Entanglement dynamics of a moving multi-photon Jaynes-Cummings model in mixed states

Using the algebraic dynamical method, the entanglement dynamics of an atom-field bipartite system in a mixed state is investigated. The atomic center-of-mass motion and the field-mode structure are also included in this system. We find that the values of the detuning and the average photon number are larger, the amplitude of the entanglement is smaller, but its period does not increase accordingly. Moreover, with the increase of the field-mode structure parameter and the transition photon number, the amplitude of the entanglement varies slightly while the oscillation becomes more and more fast. Interestingly, a damping evolution of the entanglement appears when both the detuning and the atomic motion are considered simultaneously.

Electronic cluster state entanglement concentration based on charge detection

We propose an efficient entanglement concentration protocol （ECP） based on electron-spin cluster states assisted with single electrons. In the ECP, we adopt the electron polarization beam splitter （PBS） and the charge detector to construct the quantum nondemolition measurement. According to the result of the measurement of the charge detection, we can ultimately obtain the maximally entangled cluster states. Moreover, the discarded items can be reused in the next round to reach a high success probability. This ECP may be useful in current solid quantum computation.

Entanglement dynamics of two distant atoms in two detuning cavities

We investigate the entanglement dynamics via the concurrence of two distant atoms interacting off-resonantly with two cavity fields in Fock states, respectively. We find that the evolution of entanglement has sudden death and sudden birth phenomena, that with the increase of photon numbers in the two cavities, the alternate frequency of sudden death and sudden birth turns fast, and that the amplitude of concurrence oscillates regularly with oscillation frequency becoming slow when the cavity fields have the same photon numbers. While, the maximum of concurrence declines and the amplitude of concurrence oscillates irregularly when the two cavity fields have different photon numbers. In addition, we find the length of death time is dependent on the initial entanglement.

Efficient three-step entanglement concentration for an arbitrary four-photon cluster state

We propose an entanglement concentration protocol to concentrate an arbitrary partially-entangled four-photon cluster state.As a pioneering three-step entanglement concentration scheme,our protocol only needs a single-photon resource to assist the concentration in each step,which makes this protocol more economical.With the help of the linear optical elements and weak cross-Kerr nonlinearity,one can obtain a maximally-entangled cluster state via local operations and classical communication.Moreover,the protocol can be iterated to obtain a higher success probability and is feasible under current experimental conditions.

Controlled Teleportation of Two-Partic le Entanglement via a Cluster State

In order to teleport an unknown two-par-ticle entangled state via a cluster state, a controlled teleportation schelre is proposed. It is shown that an unknown two-particle entangled state can be successfully transmitted from the sender Alice to the receiver Bob with the help of the supervisor Charlie via the only one four-particle cluster state. The receiver can reconstruct the teleported state according to the lmasurement results of the sender and supervisor. Quantum Controlled-NOT （CNOT） gate and POVM are used, which have been accom-plished in a quantum experiment, so it is believed that this scheme will be realized by experirnent. By analysis, the success probability of the proposed scheme reaches 1.0.

ENTANGLEMENT WITNESSES CONSTRUCTED BY PERMUTATION PAIRS

For n≥3,we construct a class{Wn,π1,π2}of n^(2)×n^(2) hermitian matrices by the permutation pairs and show that,for a pair{π1,π2}of permutations on(1,2,…,n),Wn,π1,π2 is an entanglement witness of the n⊗n system if{π1,π2}has the property(C).Recall that a pair{π1,π2}of permutations of(1,2,…,n)has the property(C)if,for each i,one can obtain a permutation of(1,…,i−1,i+1,…,n)from(π1(1),…,π1(i−1),π1(i+1),…,π1(n))and(π2(1),…,π2(i−1),π2(i+1),…,π2(n)).We further prove that Wn,π1,π2 is not comparable with Wn,π,which is the entanglement witness constructed from a single permutationπ;Wn,π1,π2 is decomposable ifπ1π2=id orπ21=π22=id.For the low dimensional cases n∈{3,4},we give a sufficient and necessary condition onπ1,π2 for Wn,π1,π2 to be an entanglement witness.We also show that,for n∈{3,4},Wn,π1,π2 is decomposable if and only ifπ1π2=id orπ21=π22=id;W3,π1,π2 is optimal if and only if(π1,π2)=(π,π2),whereπ=(2,3,1).As applications,some entanglement criteria for states and some decomposability criteria for positive maps are established.

Entanglement dynamics in two-component Bose-Einstein condensates

Based on the exact solution of the time-dependent Schrodinger equation for two-species Bose-Einstein condensates （BECs） consisting of two hyperfine states of the atoms coupled by a tuned adiabatic and time-varying Raman coupling, we obtain analytically the entanglement dynamics of the system with various initial states, particularly the SU（2） coherent state, for both of cases with and without the nonlinear interactions. It is shown that the effect of nonlinear interaction on the entanglement appears only in a longer time period depending on the BEC parameters.

Generation of cluster-type entangled squeezed vacuum states

We present a scheme to prepare cluster-type entangled squeezed vacuum states （CTESVS） by considering the two-photon interaction between a two-level atom and a high-quality cavity, driven by a strong classical field. After the realization of simple atomic measurements, the generation of CTESVS in four separate cavities is accomplished within the cavity decay time. In the case of large atom=cavity detuning, the scheme is immune to the effect of atomic spontaneous emission.

基于矩阵乘积压缩态的动态可扩展秘密共享方案

目前,基于纠缠态的量子秘密共享(quantum secret sharing,QSS)方案未充分利用纠缠态的概率振幅潜力.然而,纠缠态的概率振幅是量子信息学的一个关键特性,在量子计算和量子通信等领域有着广泛的应用潜力.值得注意的是,纠缠态可以通过矩阵乘积态(matrix product state,MPS)有效表达.利用MPS对纠缠态进行表征,能够准确地揭示与概率振幅相关的纠缠特性.本研究证明利用MPS表征纠缠态,可以将一个W态压缩为一个单光子和一个矩阵,展示一种新的技术路径.此外,本研究还提出MPS与秘密共享方案之间的创新互操作性,即通过压缩允许量子份额与共享的量子态之间形成非一对一的映射关系.这种方法可能提供一种更高效的方式来实现量子信息的编码和传输,对于量子秘密共享尤为重要.同时,我们提出的QSS方案具有动态特性,能够根据需要轻松地添加或移除参与者,以更好地适应参与者需求的变化,并在实际应用场景中展现出更高的实用性和适应性.本文的方案能够在保持高效纠缠利用的同时,满足系统的多元需求,包括但不限于通信安全性、数据传输率和系统的可扩展性.

腔QED中cluster相干态的产生(英文)

提出一个在腔QED中产生cluster-型纠缠相干态的方案。基于三能级A型原子和双模腔场之间的大失谐相互作用,原子的自发辐射可以忽略。此外,腔场的初态是真空态。在这个方案中,对原子进行测量后,能够产生腔场cluster-型纠缠相干态,并讨论了实验的可行性。

基于四粒子cluster态的N位量子态秘密共享方案

为了实现N位量子态秘密共享,提出利用四粒子cluster态作为量子信道,cluster态虽然不是最大的纠缠态,但是有比最大纠缠态更强健的性质,通信者Alice通过添加辅助粒子,并对量子态进行五粒子联合测量,Bob(Charlie)对手中的粒子进行单粒子测量,并把结果和恢复量子态需要进行的操作告知Charlie(Bob),Charlie(Bob)按照从Bob(Charlie)处得到的信息对手中的粒子进行相应的操作,最后再根据需要,把量子态通过相应的量子线路得到所需要共享的量子态。安全性分析证明此方案是安全的。

一种基于四粒子cluster态的量子水印方案

为了将秘密信息嵌入信息序列并实现秘密信道更大比特容量,提出一种在控制量子安全直接通信过程中的基于纠缠交换和四粒子cluster态的量子水印方案。利用量子纠缠交换和幺正变换,在通信过程中,发送者在安全信息层建立一个用于嵌入水印信息的隐藏层,可实现将完整信息安全传送给接收者。通过分析,该方案验证了信息层与隐藏层的安全性,实现了秘密比特的更大容量。

光腔耦合阵列中四模方形Cluster态的制备

提出一种四模方形cluster态的制备方案,方案选用四个分别包含一个原子系综的独立单模光腔,光腔之间用短光纤实现耦合.讨论证明在合适外加激光脉冲的驱动下,可确定性的制备得到稳定的四模方形cluster态.通过调节驱动激光的频率和相位,该方案可以拓展到多模和其他形cluster态的制备.

Teleportation of arbitrary unknown two-atom state with cluster state via thermal cavity

This paper proposes a scheme for implementing the teleportation of an arbitrary unknown two-atom state by using a cluster state of four identical 2-level atoms as quantum channel in a thermal cavity. The two distinct advantages of the present scheme are： （i） The discrimination of 16 orthonormal cluster states in the standard teleportation protocol is transformed into the discrimination of single-atom states. Consequently, the discrimination difficulty of states is degraded. （ii） The scheme is insensitive to the cavity field state and the cavity decay for the thermal cavity is only virtually excited when atoms interact with it. Thus, the scheme is more feasible.

Controlled Secure Direct Communication Protocol via the Three-Qubit Partially Entangled Set of States

In this paper,we first re-examine the previous protocol of controlled quantum secure direct communication of Zhang et al.’s scheme,which was found insecure under two kinds of attacks,fake entangled particles attack and disentanglement attack.Then,by changing the party of the preparation of cluster states and using unitary operations,we present an improved protocol which can avoid these two kinds of attacks.Moreover,the protocol is proposed using the three-qubit partially entangled set of states.It is more efficient by only using three particles rather than four or even more to transmit one bit secret information.Given our using state is much easier to prepare for multiqubit states and our protocol needs less measurement resource,it makes this protocol more convenient from an applied point of view.

Generation of multipartite entangled states by cavity QED

We propose the methods of generating multipartite entanglement by considering the interaction of a system of N two-level atoms in M cavities of high quality factor with a strong classical driving field. It is shown that, with the cavity detuning, the applied driving field detuning and vacuum Rabi coupling, we can produce an entangled coherent state in two single-mode cavities and generate the entangled coherent cluster states in two bimodal vacuum cavities. Tuning these parameters also allows us to acquire the anti-Jaynes-Cummings （AJC） interaction, with which we can generate the maximally two-photon entangled states, and the two-atom and the two-photon entangled cluster states.

Scheme for generating a cluster-type entangled squeezed vacuum state via cavity QED

A scheme is proposed to generate an N-qubit cluster-type entangled squeezed vacuum state （CTESVS） based on the two-photon interaction between a two-level atomand the cavity fields with the cavity QED system. The CTESVS in N separate cavities can be effectively obtained after performing a simple one-qubit measurement on the atom. The influence of cavity decay on the CTESVS is also discussed.