Quantum Privacy Computation Protocol Based on Quantum Coherence
Jincheng Zhang
Abstract
This paper proposes a novel privacy computation protocol leveraging the principles of quantum coherence and decoherence. The core concept involves constructing a "black box" mechanism utilizing quantum states to interfere with the computation process, effectively masking the original data while guaranteeing the accuracy of the resulting output. Unlike existing approaches such as differential privacy and homomorphic encryption, this protocol harnesses quantum effects to provide enhanced privacy protection. We define the protocol as follows: Let *S1*, *S2*, ..., *SK* represent the shares of *K* parties. The protocol aims to compute a function *f* on these shares. The function *f* is implemented through a series of quantum gates, where each gate operates on the combined quantum state of all shares. Decoherence is induced by carefully designed interactions, specifically utilizing quantum measurement operators that introduce probabilistic errors. The probability of successfully executing the quantum computation is dependent on the strength and duration of the decoherence process. The resulting output, *O*, is obtained through a final quantum measurement. The key innovation lies in the dynamic adjustment of decoherence parameters, allowing for a tunable trade-off between privacy and computation accuracy. Further, we explore the mathematical foundations of this protocol, providing a formal description of the underlying quantum operations and the decoherence model. This work contributes a fundamental understanding of leveraging quantum decoherence for privacy-preserving computation and opens avenues for future research in quantum-enhanced security.