Design of Quantum Stream Cipher: Part-I -Lifting the Shannon Impossibility Theorem-

Osamu Hirota

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arXiv · 2503.14872

Design of Quantum Stream Cipher: Part-I -Lifting the Shannon Impossibility Theorem-

Osamu Hirota

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Abstract

This paper is dedicated to the late Professor H.P. Yuen in commemoration to our 50-year friendship. He invented the concept of quantum stream cipher. It is designed based on a completely different concept from conventional ciphers. The purpose of this cipher is to provide information-theoretic security of long data and secret key with short key length. It is based on hiding the ciphertext of mathematical cipher with quantum noise, achieving unprecedented information-theoretic security in any cipher. The protocol corresponds to randomizing the ciphertext by means of differentiating the receiving performance of Bob with key and Eve without key according to the principle of quantum communication theory. In this paper, we introduce some progress on the specific method to develop from the standard type to generalized quantum stream cipher (Quantum Enigma Cipher). There are two methods for generalization. One is the additional randomization method by the product cipher form and the other is the M-th order extended quantum coding method. Here we discuss the former. The results proved that it has sufficient information-theoretic security against known plaintext attack on key in comparison with quantum data locking. The latter method will be reported in Part II.

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Osamu Hirota. 2025-03-19. Design of Quantum Stream Cipher: Part-I -Lifting the Shannon Impossibility Theorem-. https://arxiv.org/abs/2503.14872

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