Abstract

A novel encryption algorithm called the chained phase-controlled operation (CPCO) is presented in this paper, inspired by CNOT operation, which indicates a stronger correlation among message states and each message state depending on not only its corresponding key but also other message states and their associated keys. Thus, it can prevent forgery effectively. According to the encryption algorithm CPCO and the classical dual signature protocols, a quantum dual signature scheme based on coherent states is proposed in this paper. It involves three participants, the customer Alice, the merchant Bob and the bank Trent. Alice expects to send her order message and payment message to Bob and Trent, respectively. It is required that the two messages must be linked to guarantee the payment is paid for the corresponding order. Thus, Alice can generate a quantum dual signature to achieve the goal. In detail, Alice firstly signs her two messages with the shared secret key. Then She connects the two signatures into a quantum dual signature. Finally, Bob and Trent severally verify the signatures of the order message and the payment message. Security analysis shows that our scheme can ensure its security against forgery, repudiation and denial. In addition, simulation experiments based on the Strawberry Fields platform are performed to valid the feasibility of CPCO. Experimental results demonstrate that CPCO is viable and the expected coherent states can be acquired with high fidelity, which indicates that the encryption algorithm of the scheme can be implemented on quantum devices effectively.

Highlights

  • The digital signature, which is an important way to realize identity and message authentication, is one of the significant cryptographic building blocks and has been extensively employed in secure electronic commerce

  • It can be seen that one state is related to its corresponding key bit and message state and related to the key and state in other positions. This new method in our scheme makes a stronger correlation between message states, and in later section, we prove that the encryption algorithm based on chained phase-controlled operation (CPCO) can avoid attacker’s forgery

  • A quantum dual signature scheme based on CPCOs and coherent states is presented in this paper, which can be used to guarantee the communication security between customer, merchant, and bank

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Summary

Introduction

The digital signature, which is an important way to realize identity and message authentication, is one of the significant cryptographic building blocks and has been extensively employed in secure electronic commerce. There are lots of classical digital signature schemes [3,4,5] including post-quantum signature [6], whose security depends on complex algorithms or unresolved mathematical problems, such as the discrete logarithm problem [7] and the prime factorization problem [8]. The security of the signature with prime factorization may be quickly broken [13,14] by Shor’s algorithm [15] in the near future. Research imminently needs to blaze a trail in the security improvement of signature schemes with another way.

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