Frequency Analysis Attack on Ceaser Cipher using Quantum Support Vector Machine

Vishnu Ajith, Mahima Mary Mathews, P. V.
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Abstract

Quantum technology accelerated computing may have the capacity to provide solutions that are much better compared to their best known classical solutions. Quantum Algorithms reducing the complexity of problems like factorisation and searching of unstructured data has triggered a panic mode among cryptographers to analyse the security state of current cryptography schemes. The paper proposes applying Quantum enhanced State Vector Machine to the Frequency Analysis Attack on Ceaser Cipher, the simplest substitution cipher. The method is message length agnostic as it analyzes the frequency of characters and improves in accuracy with increasing message length. Previous attempts at applying QSVM were focused on using the entire ciphertext and required twice as many qubits as the length of plaintext. Our method uses a quantum circuit only as the kernel for the SVM method and can be implemented with only as many classifiers as the size of the alphabet being used in the ciphertext, irrespective of message size.
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基于量子支持向量机的频率分析攻击
量子技术加速计算可能有能力提供比最著名的经典解决方案更好的解决方案。量子算法降低了分解和搜索非结构化数据等问题的复杂性,这在密码学家中引发了一种恐慌模式,以分析当前密码方案的安全状态。本文提出将量子增强状态向量机应用于最简单的替换密码——凯撒密码的频率分析攻击。该方法是消息长度无关的,因为它分析字符的频率,并随着消息长度的增加而提高准确性。以前应用QSVM的尝试主要集中在使用整个密文,并且需要的量子比特是明文长度的两倍。我们的方法仅使用量子电路作为支持向量机方法的内核,并且可以仅使用与密文中使用的字母表大小相同的分类器来实现,而不考虑消息大小。
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