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Quantum Information Processing

A novel quantum protocol for secure hamming distance computation

Zhenwan Peng, Runhua Shi, Ran Ding, Feifan Zhang

Published Apr 29, 2024• 3 citations
Publisher
DOI
10.1007/s11128-024-04357-2

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•Jun 12, 2012•2 citations
A secure two-party hamming distance computing protocol is proposed based on the secure two-party matrix product protocol; a secure four-party addition protocol, a secure three-party addition protocol and a secure two-party number protocol are proposed based on the additive homomorphic encryption and secure two-party compare protocol. A secure multi-party closest string protocol is presented based on the secure two-party hamming distance computing protocol and a secure multi-party addition protocol. These protocols are based on semi-honest model.
The problem in which one of three pairwise interacting parties is required to securely compute a function of the inputs held by the other two, when one party may arbitrarily deviate from the computation protocol (active behavioral model), is studied. An information-theoretic characterization of unconditionally secure computation protocols under the active behavioral model is provided. A protocol for Hamming distance computation is provided and shown to be unconditionally secure under both active and passive behavioral models using the information-theoretic characterization. The difference between the notions of security under the active and passive behavioral models is illustrated through the BGW protocol for computing quadratic and Hamming distances; this protocol is secure under the passive model, but is shown to be not secure under the active model.