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<p>In order to solve the real problems in many fields, such as financial regulation, medical costing, etc., how to store and compute the user data by using the cloud platform with strong computing power and large storage capacity and to achieve both data privacy and data availability has become a major challenge. In the context of the rapid development of quantum cryptography, a homomorphic cryptographic summation scheme based on logistic maps is provided. The circuit based on quantum addition allows arbitrary quantum transformations. Quantum homomorphic encryption QHE allows addition operations to be performed on data without decrypting it, which greatly ensures the security of the data. In addition, the encryption key of this protocol consists partly of chaotic sequences generated by logistic maps and partly of four-particle GHZ states. Since the protocol uses quantum homomorphic encryption based on quantum one-time pads, the user will update the encryption key synchronously during the evaluation process. Finally, the security analysis shows that the protocol is resistant to both external attacks and internal attacks by the participants and to collusive attacks by up to <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11128_2025_4841_Article_IEq1.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="46" /> </InlineMediaObject> <EquationSource Format="TEX">\(N - 2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>N</mi> <mo>-</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation> participants.</p>

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A chaotic maps-based multiparty quantum summation computation scheme for cloud environments

  • 期刊论文

  • 发表日期：

    2025年7月29日

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  • Lu Zhang,
  • Haocheng Kan,
  • Chaonan Wang,
  • Hongfeng Zhu

摘要

In order to solve the real problems in many fields, such as financial regulation, medical costing, etc., how to store and compute the user data by using the cloud platform with strong computing power and large storage capacity and to achieve both data privacy and data availability has become a major challenge. In the context of the rapid development of quantum cryptography, a homomorphic cryptographic summation scheme based on logistic maps is provided. The circuit based on quantum addition allows arbitrary quantum transformations. Quantum homomorphic encryption QHE allows addition operations to be performed on data without decrypting it, which greatly ensures the security of the data. In addition, the encryption key of this protocol consists partly of chaotic sequences generated by logistic maps and partly of four-particle GHZ states. Since the protocol uses quantum homomorphic encryption based on quantum one-time pads, the user will update the encryption key synchronously during the evaluation process. Finally, the security analysis shows that the protocol is resistant to both external attacks and internal attacks by the participants and to collusive attacks by up to \(N - 2\) N - 2 participants.