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.     

Two-party quantum key agreement protocols under collective noise channel

Recently, quantum communication has become a very popular research field. The quantum key agreement (QKA) plays an important role in the field of quantum communication, based on its unconditional security in terms of theory. Among all kinds of QKA protocols, QKA protocols resisting collective noise are widely being studied. In this paper, we propose improved two-party QKA protocols resisting collective noise and present a feasible plan for information reconciliation. Our protocols’ qubit efficiency has achieved 26.67%, which is the best among all the two-party QKA protocols against collective noise, thus showing that our protocol can improve the transmission efficiency of quantum key agreement.     

Protocols of quantum key agreement solely using Bell states and Bell measurement

Two protocols of quantum key agreement (QKA) that solely use Bell state and Bell measurement are proposed. The first protocol of QKA proposed here is designed for two-party QKA, whereas the second protocol is designed for multi-party QKA. The proposed protocols are also generalized to implement QKA using a set of multi-partite entangled states (e.g., 4-qubit cluster state and \(\Omega \) state). Security of these protocols arises from the monogamy of entanglement. This is in contrast to the existing protocols of QKA where security arises from the use of non-orthogonal state (non-commutativity principle). Further, it is shown that all the quantum systems that are useful for implementation of quantum dialogue and most of the protocols of secure direct quantum communication can be modified to implement protocols of QKA.     

Multiparty Quantum Key Agreement With Strong Fairness Property

Multiparty Key Agreement (MKA) is the backbone for secure multiparty communication. Although numerous efficient MKA-cryptosystems are available in the classical field, their security relies on the assumption that some computational issues are infeasible. To overcome this dependency, a new area, quantum cryptography, evolves to support key agreement among two or more participants securely. In this paper, first, we present a two-part quantum key agreement with Strong Fairness Property (SFP) and extends it to a Multiparty Quantum Key Agreement (MQKA) protocol. In the first round of proposed MQKA, a participant will act as a group controller (GC) and establishes two-party groups with each of the residual participants and agreed on a quantum two-party-style shared key per each of the two-party. In the second round, the GC computes public keys for each of the respective parties by combining these two-party keys using XOR-operation, excluding that party’s two-party key. Next, the GC sends separate public keys to the individual participants. After receiving the respective public-key, each of the respective participants computes the multiparty key by joining their public-key with their two-party key using XOR. Finally, GC computes the multiparty key, as the GC knows all the two-party keys, it combines them with XOR and acts as a usual group participant. The proposed protocol has compared with other renowned MQKA protocols in terms of four standards parameters, namely transmission number (TN), qubit measurement number (QM), qubit for channel checking (QCC), and the qubit efficiency (QE) and acceptable results achieved. The security of the proposed MQKA relies on the absolute security of a two-part quantum key agreement with Strong Fairness Property (SFP). Moreover, it is secure against both internal and external attacks.     

Multiparty quantum key agreement protocol based on locally indistinguishable orthogonal product states

Based on locally indistinguishable orthogonal product states, we propose a novel multiparty quantum key agreement (QKA) protocol. In this protocol, the private key information of each party is encoded as some orthogonal product states that cannot be perfectly distinguished by local operations and classical communications. To ensure the security of the protocol with small amount of decoy particles, the different particles of each product state are transmitted separately. This protocol not only can make each participant fairly negotiate a shared key, but also can avoid information leakage in the maximum extent. We give a detailed security proof of this protocol. From comparison result with the existing QKA protocols, we can know that the new protocol is more efficient.     

Efficient multiparty quantum key agreement protocol based on commutative encryption

A secure multiparty quantum key agreement protocol using single-qubit states is proposed. The agreement key is computed by performing exclusive-OR operation on all the participants’ secret keys. Based on the commutative property of the commutative encryption, the exclusive-OR operation can be performed on the plaintext in the encrypted state without decrypting it. Thus, it not only protects the final shared key, but also reduces the complexity of the computation. The efficiency of the proposed protocol, compared with previous multiparty QKA protocols, is also improved. In the presented protocol, entanglement states, joint measurement and even the unitary operations are not needed, and only rotation operations and single-state measurement are required, which are easier to be realized with current technology.     

Cryptanalysis of a multi-party quantum key agreement protocol with single particles

Recently, Sun et al. (Quantum Inf Process 12:3411–3420, 2013) presented an efficient multi-party quantum key agreement (QKA) protocol by employing single particles and unitary operations. The aim of this protocol is to fairly and securely negotiate a secret session key among \(N\) parties with a high qubit efficiency. In addition, the authors claimed that no participant can learn anything more than his/her prescribed output in this protocol, i.e., the sub-secret keys of the participants can be kept secret during the protocol. However, here we point out that the sub-secret of a participant in Sun et al.’s protocol can be eavesdropped by the two participants next to him/her. Moreover, a certain number of dishonest participants can fully determine the final shared key in this protocol. Finally, we discuss the factors that should be considered when designing a really fair and secure QKA protocol.     

Multi-party quantum key agreement with five-qubit brown states

In this paper, we propose a multi-party quantum key agreement protocol with five-qubit brown states and single-qubit measurements. Our multi-party protocol ensures each participant to contribute equally to the agreement key. Each party performs three single-qubit unitary operations on three qubits of each brown state. Finally, by measuring brown states and decoding the measurement results, all participants can negotiate a shared secret key without classical bits exchange between them. With the analysis of security, our protocol demonstrates that it can resist against both outsider and participant attacks. Compared with other schemes, it also possesses a higher information efficiency. In terms of physical operation, it requires single-qubit measurements only which weakens the hardware requirements of participant and has a better operating flexibility.     

Multiparty quantum key agreement with single particles

Two conditions must be satisfied in a secure quantum key agreement (QKA) protocol: (1) outside eavesdroppers cannot gain the generated key without introducing any error; (2) the generated key cannot be determined by any non-trivial subset of the participants. That is, a secure QKA protocol can not only prevent the outside attackers from stealing the key, but also resist the attack from inside participants, i.e. some dishonest participants determine the key alone by illegal means. How to resist participant attack is an aporia in the design of QKA protocols, especially the multi-party ones. In this paper we present the first secure multiparty QKA protocol against both outside and participant attacks. Further more, we have proved its security in detail.     

独立网络中新的双方密钥协商协议

现有的密钥协商协议大多研究同一密钥生成中心(KGC)下的安全会话,即参与者的参数都由同一KGC提供。为了实现处于不同KGC中的参与者的安全会话,采用椭圆曲线设计方案提出了一种新的基于身份的双方认证密钥协商协议,新协议实现了两个具有独立参数的KGC中参与者的安全密钥协商。还利用改进的Blake-Wilson模型对新协议的安全性进行了严格的形式化证明。通过分析表明该新协议不但具有足够的安全性,而且还具备计算量小、效率高的特点,因而,可用于对能耗要求高的轻量级设备中。     

Novel multiparty quantum key agreement protocol with GHZ states

In many circumstances, a shared key is needed to realize secure communication. Based on quantum mechanics principles, quantum key agreement (QKA) is a good method to establish a shared key by every party’s fair participation. In this paper, we propose a novel three-party QKA protocol, which is designed by using Greenberger–Horne–Zeilinger (GHZ) states. To realize the protocol, the distributor of the GHZ states needs only one quantum communication with the other two parties, respectively, and everyone performs single-particle measurements simply. Then, we extend the three-party QKA protocol to arbitrary multiparty situation. At last, we discuss the security and fairness of the multiparty protocol. It shows that the new scheme is secure and fair to every participant.     

基于W态的量子安全直接通信协议

提出了一种新的两方量子安全直接通信协议。该方案利用有序的四粒子W态作为信息载体,利用幺正变换对秘密消息进行编码,通过当地Bell基测量和经典通信直接传递秘密消息。在理想信道下,协议对于非相干攻击是安全的。该方案的优点在于利用W态作为信息载体,较GHZ态而言,损耗要小得多,并且不需要在量子信道中传输载有秘密消息的量子比特。     

Escrowable identity-based authenticated key agreement protocol with strong security

Escrowable identity-based authenticated key agreement protocols are welcome in certain closed groups applications, where audit trail is a legal requirement. In this paper, we present a strongly secure one-round escrowable identity-based two-party authenticated key agreement protocol, which captures all basic desirable security properties including perfect forward secrecy, ephemeral secrets reveal resistance and so on, and is provably secure in the extended Canetti–Krawczyk (eCK) model. We show that the security of the protocol can be reduced to the standard computational bilinear Diffie–Hellman assumption in the random oracle model. Assuming that no adversary can obtain the master private key for the escrow mode, our scheme is secure as long as each party has at least one uncompromised secret. To the best of our knowledge, our scheme is the first escrowable identity-based authenticated key agreement protocol provably secure in the eCK model.     

一种无证书认证密钥协商协议的分析与改进*

研究无证书公钥密码系统中两方认证密钥协商协议问题。对Liu xu的无证书两方认证密钥协商协议进行安全性分析,指出该方案不具有强安全性。该方案不能抵抗密钥泄露伪装攻击和临时私钥泄露攻击。分析了方案不安全的原因,在此基础上提出一个改进的方案来修正Liu xu的方案。因此,设计看似安全的无证书两方认证密钥协商协议并不困难,但要给出协议的安全性证明并不容易。     

Cryptographic one-way function based on boson sampling

Quantum Information Processing - Based on four-qubit cluster states, we present a new multi-party quantum key agreement (QKA) protocol. The proposed protocol makes full use of four-qubit cluster...     

Two ID-based authenticated schemes with key agreement for mobile environments

With the rapid development of electronic commerce transactions on mobile devices, achieving secure communications between communication parties is an important issue. The typical solutions are authenticated key agreement protocols, designed to efficiently implement secure channels for two or more parties communicating via a public network by providing them with a shared secret key, called a session key. In this paper, we propose two key agreement schemes based on elliptic curve cryptosystems suited for mobile environments. The first one is an identity-based remote mutual authentication with key agreement scheme, and it is used to establish a session key between the client and the server. In the second one, we extend the proposed two-party authentication key exchange scheme to develop an efficient three-party authenticated key agreement scheme for establishing a session key between two users with the help of a trusted server. Both our proposed schemes achieve efficiency, practicability, simplicity, and strong notions of security.     

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.     

一种动态的可认证的群密钥协商方案

为了使群密钥协商协议能够抵抗主动攻击,提出了一种高效的可认证方案。该方案以一种可认证的两方密钥协商协议为基础,首先提出了该协议的无认证版本,然后通过二叉树把两方认证版本、一方认证版本和无认证版本结合起来。该方案提供了隐含密钥认证和完善前向保密等安全属性。其通信开销是常数,计算开销与成员数目的对数成正比。     

Quantum key agreement protocols with single photon in both polarization and spatial-mode degrees of freedom

In this paper, we propose a three-party and a multi-party quantum key agreement protocols with single photons in both polarization and spatial-mode degrees of freedom. Based on the defined collective unitary operations, the participants can agree on a secure shared key through encoding their sub-secret keys on the particles. Moreover, the security of our protocols is discussed comprehensively. It is showed that the presented protocols can defend both the outside attacks and participant attacks. The efficiency analysis also shows that our two protocols can achieve high qubit efficiency. Besides, our protocols are feasible since the preparation and the measurement of single-photon state in both polarization and spatial-mode degrees of freedom are available with current quantum techniques.     

Two-party quantum key agreement against collective noise

In this paper, two two-party quantum key agreement protocols are proposed with logical \(\chi \)-states and logical Bell states. These two protocols can be immune to the collective-dephasing noise and the collective-rotation noise, respectively. They make full use of the measurement correlation property of multi-particle entangled states and the delayed measurement technique. This ensures that two participants can exchange the secret keys of each other and fairly establishes a shared key. There is no information leakage problem when establishing a shared key. The use of the delayed measurement technique and the decoy state technology makes the two protocols resist against both participant and outsider attacks. Furthermore, the two protocols are congenitally free from the Trojan horse attacks and have high qubit efficiency.