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IEEE International Conference on Computer and Communications (ICCC)

Quantum homomorphic signature using coherent states

Qing-bin Luo, Guowu Yang, Kun She, Xiaoyu Li, Yuqi Wang

Published Oct 1, 2016• 1 citation
Publisher

Abstract

In this paper, a novel scheme for quantum homomorphic signature based on coherent states is proposed, which is an effective approach to identity authentication for multiple streams to enhance the security of quantum networks. The state used for signature are arbitrarily close in trace distance to states of O(log2n), if the length of the nodes' messages is n-bit. The scheme analysis shows that the scheme is a quantum group homomorphic signature scheme and the signature is unforgeable.

DOI
10.1109/compcomm.2016.7924865

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A quantum homomorphic aggregation signature scheme is proposed based on GHZ states, combined with homomorphic aggregation techniques. The scheme has the following features: Firstly, by changing the existing quantum homomorphic signature scheme which generally uses Bell state as the signature particle, and choosing GHZ state as the signature particle, it can realize the signature of the multi-bit messages by preparing fewer quantum resources; Secondly, the idea of classical aggregated signature is introduced, where multiple message signatures are aggregated into a single signature by quantum entanglement swapping technique, and the verifier can determine the validity of all signatures by only one verification; At the same time, the verification of individual signatures by the aggregator is realized, and dishonest behaviors among the signature members can be detected in time; Finally, the whole signature process satisfies the basic homomorphic property. Compared with the existing quantum homomorphic signature scheme, this scheme can effectively reduce the consumption of quantum resources, improving the efficiency of signature verification and enhancing the reliability of the signature. The security analysis shows that the scheme has the verifiability, unforgeability and non-repudiation.
Abstract With the rapid development of computer and internet technology, quantum signature plays an extremely important role in modern secure communication. Quantum homomorphic aggregate signature, as an important guarantee of quantum signature, plays a significant role in reducing storage, communication, and computing costs. This article draws on the idea of quantum multi-party summation and proposes a quantum homomorphic aggregate signature scheme based on quantum Fourier transform. Our scheme uses nnn-particle entangled states as quantum channels, with different particles of each entangled state sent separately. This ensures secure transmission of signatures and messages with fewer entangled particles during transmission, further improving the efficiency of quantum signatures. Meanwhile, our scheme generates private keys for each participating party by randomly constructing key generation matrixes. Different signers perform quantum Fourier transforms and basis exchange operations on entangled particles based on different messages and private keys to generate signatures. In addition, the aggregator does not need to measure and verify the signature particles after receiving signatures from different signers, and the group addition operation process has additive homomorphism. Security analysis shows that our scheme has unforgeability, non-repudiation, and can resist various attacks such as entanglement measurement attacks, intercept-resend attacks, private key sequence attacks, and internal attacks by aggregator.
A novel quantum dual signature scheme, which combines two signed messages expected to be sent to two diverse receivers Bob and Charlie, is designed by applying entanglement swapping with coherent states. The signatory Alice signs two different messages with unitary operations (corresponding to the secret keys) and applies entanglement swapping to generate a quantum dual signature. The dual signature is firstly sent to the verifier Bob who extracts and verifies the signature of one message and transmits the rest of the dual signature to the verifier Charlie who verifies the signature of the other message. The transmission of the dual signature is realized with quantum teleportation of coherent states. The analysis shows that the security of secret keys and the security criteria of the signature protocol can be greatly guaranteed. An extensional multi-party quantum dual signature scheme which considers the case with more than three participants is also proposed in this paper and this scheme can remain secure. The proposed schemes are completely suited for the quantum communication network including multiple participants and can be applied to the e-commerce system which requires a secure payment among the customer, business and bank.
Combining the idea of quantum secure communication and quantum homomorphic signature, we propose a quantum secure communication protocol with signature via EPR pairs, in which the identities of the sender and the recipient could be certified and the integrity of the message transmitted is guaranteed according to their signatures. Comparing with the previous quantum secure communication scheme without signature, our protocol is not only feasible in practice but also can effectively guarantee the reliability and security of the quantum communication. The security of the protocol is analyzed.
Group signature allows any valid group member to sign any number of messages on behalf of the group without revealing the member identity. The group manager can reveal the identity of the signer in the case of a dispute. Most of the group signatures are based on traditional cryptography, such as RSA, ECC and discrete logarithm. But these schemes would be easily broken if quantum computers emerge. In this paper, we propose a new identity based group signature. Our signature scheme is based on bilinear maps. This identity based scheme has the security properties of group signatures. In this scheme the size of the group pubic key and the length of signatures are independent on the size of the group. This scheme is well suited for large groups. Using the same key pair the group member can sign many messages.