基于Cluster态的可验证多方量子密钥协商方案

基于四量子比特Cluster态,提出一种可验证多方量子密钥协商方案.方案允许每次由两个参与者利用自己的子密钥分别在每个四量子比特Cluster态的两个粒子上执行X运算,并对转换后的Cluster态执行延迟测量,这保证了每个参与者对协商密钥的贡献相等.提出的方案使用相互无偏基粒子作为诱饵粒子,并且利用对称二元多项式的一对函数值对这些诱饵粒子执行酉运算,不仅可以进行窃听检验,而且还能进行参与者之间的身份验证.本方案适用于任意大于2的参与者人数.安全性分析表明,提出的方案能够抵抗外部攻击及参与者攻击.与现有的多方密钥协商方案相比,该方案不仅在诱饵粒子的使用上有优势,同时具有较高的量子比特效率.     

任意二粒子纠缠态的受控量子通信

为了解决任意二量子通信问题,首先给出了五粒子和七粒子纠缠态的构造方法,并提供了它们的量子线路图。其次,以该五粒子纠缠态为量子信道,提出一个任意二粒子未知量子态的受控隐形传态协议。该协议在监察者Charlie的控制下,Alice进行四粒子投影测量和经典通信,Bob采用简单酉变换就能以100%的概率成功重构一个任意二粒子纠缠态。最后,利用七粒子纠缠态为量子信道,提出了任意二粒子纠缠态的联合受控远程制备方案。在此方案中,发送者Alice用自己掌握被制备态的部分信息构造测量基,发送者Bob采用前馈测量策略,接收者Diana在监控者Charlie的帮助下,通过简单幺正变换就能确定性地恢复原始态。     

两个基于四粒子纠缠态的量子秘密共享方案

本文分别基于四粒子Cluster态和一个非对称的四粒子纠缠态,提出两个量子秘密共享的方案,其中共享的秘密是未知的单粒子态。秘密的发送者需要对手中的粒子进行Bell基测量,协助者需要对手中的粒子进行测量或者实施幺正操作,最后接收者通过对手中的粒子进行相应的幺正变换或者受控非门操作,就可以重构原始秘密。通过分析表明,任何一个代理者在其他两方协助下是可以恢复秘密的,所以我所提出的方案是高效且安全可靠的。     

通过五粒子信道的非对称双向量子信息传输

利用一个五粒子团簇态为信道,分别提出了三个关于二粒子态和单粒子态的双向受控量子信息传输协议。在第一个协议中,通过引入辅助粒子,实施受控非门运算和Bell态测量,Alice能把二粒子未知态传送给Bob,同时Bob也能把单粒子未知态传送给Alice。在第二个方案中,通过引入辅助粒子、巧妙构造正交基和执行单粒子投影测量,Alice能帮助Bob远程地制备二粒子已知态,同时Bob也能帮助Alice远程地制备单粒子已知态。由于他们充分利用了前馈策略去构造测量基,制备任务能够完美完成。在第三个方案中,结合前两个方案的特点,Alice能成功将二粒子未知态传送给Bob,Bob也完美地在Alice处制备单粒子已知态。上述三个方案离开监控者的允许是不能实现的。     

基于非最大纠缠GHZ态的一种量子信息集中方案

提出了一种以非最大纠缠的四粒子GHZ态作为量子信道的概率性量子信息集中方案. 方案首先将未知的克隆态与量子信道构造系统态; 其次空间分离的三方对手中的粒子进行Bell测量, 并将测量结果通过经典通信告诉信息恢复者; 最后信息重建者做适当的测量(投影测量或者POVM 测量),将信息集中回单量子态, 从而实现量子信息集中. 进而讨论了方案的安全性和效率, 并与文献[17,23]从多角度进行了比较.     

任意四粒子|χ>态和五粒子Brown态的联合远程制备

通过置换群和巧妙构造测量基,给出了以GHZ型态为信道三方确定性地联合地制备四粒子|χ>态和五粒子Brown态的两个协议,并将两个发送者的情况推广到多个发送者的情形,提高了已有方案的概率而不需添加额外局域操作。     

利用二粒子纠缠态隐形传递未知二粒子量子态

提出了一个利用特殊的二粒子纠缠态作为量子信道来实现任意二粒子未知量子态的隐形传态。对比Yuan等人提出的利用[χ]纠缠态实现的任意未知二量子态的隐形传态方案。该方案利用二粒子信道和Bell基测量,以及特殊的幺正操作顺利完成信息的隐形传态。而且方案中利用了较少的资源,且获得的原始信息的概率为1。     

受控循环远程态制备

为了解决多方量子通信问题,首先提出一种构造十粒子纠缠态的方法,并籍此构造出一个3◢n◣+1粒子纠缠态。其次,以十粒子纠缠态为量子信道,提出一个三方受控循环远程制备协议。该协议在监察者David的控制下,Alice能为Bob远程制备一个任意单粒子态,Bob能够在Charlie处远程制备一个任意单粒子态,Charlie也能为Alice远程制备任意单粒子态。进一步,借助3◢n◣+1粒子纠缠态,将此循环协议推广到任意◢n◣方受控循环远程态制备情形。在远程态制备过程中,每个发送者充分利用各自掌握的信息和前馈策略来构造恰当的测量基,通过经典通信和局域操作,就能成功实现任意单粒子态的远程制备。     

基于广播机制的多方量子远程制备协议

量子态远程制备(RSP)是量子信息过程的一个重要分支。为了解决一个发送者向多个接收者同时制备相同量子态的问题,提出了基于广播机制的1对2三方量子态远程制备协议,并将其拓展到1对N多方量子态远程制备中。该协议使用GHZ态作为量子信道,通过构造两组特殊测量基,发送方进行两次多粒子投影测量,接收方根据测量结果进行幺正操作,最终实现1个发送者向多个接收者同时制备相同的粒子态。经分析,协议的这种广播制备模式可以适用于任意多个接收者的情形。     

基于W态的高效量子信息拆分方案

为提高基于W态的量子通信方案的效率,提出了一种新的基于W态的量子信息拆分(QIS)方案。该方案中,秘密分发者通过局域操作将经典信息编码在量子比特上,并在分发的量子比特中随机插入非正交态粒子进行检测窃听,参与者只需进行3粒子投影测量即可恢复秘密。方案使参与者能够利用1个W态直接共享2比特经典信息,并能够抵御截获-测量、截获-重发和纠缠附加粒子攻击,安全性得以保证。该方案效率较高, 理论上其量子比特效率为67%。     

Joint remote preparation of four-qubit cluster-type states with multiparty

For N+1-sender independently share the classical knowledge of a quantum state, a new scheme for joint remote preparation of four-particle cluster-type states using only two partially two-particle entangled states as quantum channel is presented. In our scheme, each of the senders is just required to perform a bipartite projective measurement, and the receiver adopts some appropriate unitary operation to obtain the original state with certain probability. We also discuss four type information-splitting methods which can make the receiver obtain the unknown state. The classical communication cost is also calculated.     

Joint remote state preparation of arbitrary two-particle states via GHZ-type states

The protocols for joint remote preparation of an arbitrary two-particle pure state from a spatially separated multi-sender to one receiver are presented in this paper. We first consider the situation of two sender and demonstrate a flexible deterministic joint remote state preparation compared with previous probabilistic schemes. And then generalize the protocol to multi-sender and show that by only adding some classical communication the success probability of preparation can be increased to four times. Finally, using a proper positive operator-valued measure instead of usual projective measurement, we present a new scheme via two non-maximally entangled states. It is shown that our schemes are generalizations of the usual standard joint remote state preparation scheme and more suitable for real experiments with requirements of only Pauli operations.     

Three-party remote state preparation schemes based on entanglement

By exploiting the entanglement correlation in quantum mechanics, two three-party remote state preparation (RSP) schemes are proposed. One is three-party remote preparation of a single-particle quantum state, and the other is three-party remote preparation of a two-particle entangled state. In the proposed schemes, the sender Alice knows the quantum states to be prepared, while the receivers Bob and Charlie do not know the quantum states; Alice performs measurement and unitary operations on her own particles with two three-particle GHZ states as the quantum channel. According to Alice’s measurement results, Bob and Charlie measure their own particles on the corresponding quantum measurement bases and perform unitary operations on the corresponding particles to reconstruct the quantum states, respectively. Compared with multiparty joint remote preparation and two-party RSP of a quantum state, the proposed schemes realize quantum multicast communication successfully, which enables Bob and Charlie to obtain the prepared quantum states simultaneously in the case of just knowing Alice’s measurement results, while Bob and Charlie do not know each other’s prepared quantum states. It is shown that only three classical bits are required for the two proposed RSP schemes when Bob and Alice introduce an auxiliary particle, respectively, and the proposed schemes are secure after the quantum channel authentication.     

Schemes for remotely preparing an arbitrary four-qubit \chi -state

Two schemes via different entangled resources as the quantum channel are proposed to realize remote preparation of an arbitrary four-particle \(\chi \) -state with high success probabilities. To design these protocols, some useful and general measurement bases are constructed, which have no restrictions on the coefficients of the prepared states. It is shown that through a four-particle projective measurement and two-step three-particle projective measurement under the novel sets of mutually orthogonal basis vectors, the original state can be prepared with the probability 50 and 100 %, respectively. And for the first scheme, the special cases of the prepared state that the success probability reaches up to 100 % are discussed by the permutation group. Furthermore, the present schemes are extended to the non-maximally entangled quantum channel, and the classical communication costs are calculated.     

Efficient joint remote preparation of an arbitrary two-qubit state via cluster and cluster-type states

In this paper, we present a possible improvement of the successful probability of joint remote state preparation via cluster states following some ideals from probabilistic joint remote state preparation (Wang et al. in Opt Commun, 284:5835, 2011). The success probability can be improved from $1/4$ to 1 via the same quantum entangled channel by adding some classical information and performing some unitary operations. Moreover, we also discussed the scheme for joint remote preparation via cluster-type states. Compared with other schemes, our schemes have the advantage of having high successful probability for joint preparation of an arbitrary two-qubit state via cluster states and cluster-type states.     

基于对称W态和身份认证的安全量子通信协议

由于W态纠缠的强鲁棒性,它被认为是更适用于量子信息处理和量子安全通信的信息载体。针对4粒子W态或3粒子非对称W态量子直接通信效率低下或物理实现困难等缺陷,利用3粒子对称W态和量子身份认证机制,提出了一种新的确定型安全量子通信协议。该协议由认证码生成、量子态准备、量子态分发、安全检测与身份认证和消息通信五阶段组成,通信双方只需进行两粒子Bell基、单粒子Z基或X基测量,通信效率也有所提高,即1个3粒子W态传输1经典比特信息。安全分析证明该协议能有效抵抗各类窃听者Eve攻击和伪装攻击,具有较好的安全特性。     

Controlled remote state preparation protocols via AKLT states

In this paper, we proposed two controlled remote state preparation of an arbitrary single-qubit state schemes one for deterministic controlled remote state preparation the other for probabilistic controlled-joint remote state preparation with 2/3 probability. Both of them used the Affleck–Kennedy–Lieb–Tasaki (AKLT) state which consisted of bulk spin-1’s and two spin-1 \(/\) 2’s at the ends. Up to now, no RSP protocols using AKLT gapped ground states as a shared quantum resource had been presented thus far and Fan et al. showed the other AKLT property was that if we performed a Bell measurement on bulk, then a maximally entangled state would be shared by two ends. We utilized these properties to develop our controlled protocols.     

The effect of quantum noise on two different deterministic remote state preparation of an arbitrary three-particle state protocols

Multi-particle quantum state deterministic remote preparation is a fundamental and important technical branch in quantum communication. Since quantum noise is unavoidable in realistic quantum communication, it is important to analyze the effect of noise on multi-particle quantum communication protocols. In this paper, we study the effects of noise, such as amplitude damping, phase damping, bit-flip and depolarizing noises, on two deterministic remote preparation of an arbitrary three-particle state protocols, which are based on two different entangled channels, namely \(\chi \) state and Brown state. The detailed mathematical analysis shows that the output states of two deterministic remote state preparation (DRSP) protocols are the same in the same noisy environment. That is to say, in the same noisy environment, the effects of noise on two DRSP protocols are the same. This conclusion proves that these two DRSP protocols will produce the same arbitrary three-particle states in the same noise channel environment, and so that these protocols are inherently convergent and can be substituted for each other in certain circumstances. In addition, this paper also takes three-particle states \(a\left| {000} \right\rangle + b{\mathrm{e}^{ic}}\left| {111} \right\rangle \) as an example and studies the relationship between the fidelity, the target state and the size of the noise factor. The results show that if the target state can be selected, an appropriate target state can effectively resist on the bit-flip noise. If the target state cannot be selected, as the increase in the size of noise factor, the fidelities of the two DRSP schemes in the amplitude damping noise and phase damping noise are always larger than those in the bit-flip noise and depolarizing noise. This conclusion indicates that two protocols have better resistance on amplitude damping and phase damping noise than the bit-flip and depolarizing noises. These findings and analyses will provide valid help in deterministic remote preparation of an arbitrary three-particle state in a noisy environment.     

Asymmetric bidirectional controlled remote preparation of an arbitrary four-qubit cluster-type state and a single-qubit state

In this paper, we propose a novel scheme for asymmetric bidirectional controlled remote state preparation (ABCRSP) via a ten-qubit entangled state as the quantum channel. In this scheme, two distant parties, Alice and Bob are not only senders but also receivers, and Alice wants to remotely prepare a single-qubit state at Bob’s site; at the same time, Bob wishes to help Alice remotely prepare an arbitrary four-qubit cluster-type entangled state. It is shown that only if the two senders and the controller collaborate with each other, the ABCRSP can be completed successfully. We demonstrate that the total success probability of the ABCRSP in this scheme can reach 1, that is, the scheme is deterministic.