Single-photon-based quantum secure protocol for the socialist millionaires' problem

Single-photon-based quantum secure protocol for the socialist millionaires' problem

06 March 2024 | Min Hou and Yue Wu
This paper presents a practical quantum secure protocol for the socialist millionaires' problem based on single photons. The protocol allows two parties, Alice and Bob, to determine whether they are equally rich without revealing their wealth. A semi-honest third party (TP) is involved to prepare and transmit single-photon sequences. Alice and Bob perform Identity or Hadamard operations on the received quantum sequences using their private inputs and secret keys, generating new quantum sequences. These sequences are then sent to TP, who performs single-particle measurements to determine the equality of private inputs and communicates the result to Alice and Bob. The protocol is simulated on IBM Quantum Cloud Platform, and security analysis shows it can withstand attacks from eavesdroppers and insider participants. The protocol uses single photons as quantum information carriers, which are easier to implement and manipulate with current technology. The protocol's efficiency is analyzed, and it is shown to be more practical and efficient compared to existing protocols. The protocol ensures the security of information transmission and allows for the comparison of private inputs without revealing them. The protocol is resistant to various types of attacks, including intercept-resend, entanglement-measure, and Trojan-Horse attacks. The protocol is also resistant to attacks from participants, ensuring the confidentiality of both Alice and Bob's secrets. The protocol's feasibility is demonstrated through simulation, and its security is analyzed to ensure it can withstand external and internal threats. The protocol is a practical solution for the socialist millionaires' problem, leveraging the advantages of quantum mechanics to ensure secure and efficient information exchange.This paper presents a practical quantum secure protocol for the socialist millionaires' problem based on single photons. The protocol allows two parties, Alice and Bob, to determine whether they are equally rich without revealing their wealth. A semi-honest third party (TP) is involved to prepare and transmit single-photon sequences. Alice and Bob perform Identity or Hadamard operations on the received quantum sequences using their private inputs and secret keys, generating new quantum sequences. These sequences are then sent to TP, who performs single-particle measurements to determine the equality of private inputs and communicates the result to Alice and Bob. The protocol is simulated on IBM Quantum Cloud Platform, and security analysis shows it can withstand attacks from eavesdroppers and insider participants. The protocol uses single photons as quantum information carriers, which are easier to implement and manipulate with current technology. The protocol's efficiency is analyzed, and it is shown to be more practical and efficient compared to existing protocols. The protocol ensures the security of information transmission and allows for the comparison of private inputs without revealing them. The protocol is resistant to various types of attacks, including intercept-resend, entanglement-measure, and Trojan-Horse attacks. The protocol is also resistant to attacks from participants, ensuring the confidentiality of both Alice and Bob's secrets. The protocol's feasibility is demonstrated through simulation, and its security is analyzed to ensure it can withstand external and internal threats. The protocol is a practical solution for the socialist millionaires' problem, leveraging the advantages of quantum mechanics to ensure secure and efficient information exchange.
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