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Strongly non-quantitative classical information in quantum carriers

2020/05/14 by Jisho Miyazaki, Miyazaki, Jisho
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2005.06685

openalex publication_date 2020/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A simple method to enhance the quality of communication is to send a carrier with its copies. Classical information theory says that information behaves quantitatively under copying. In other words, if a carrier is more informatic than another carrier, it remains so when they are compared with their copies. Using the lens of quantum mechanics, we challenge this accepted fact of classical information theory. Specifically, we examine two quantum systems parameterized differently by the same random variable such that the first system alone offers a more accurate guess about the variable in any figure of merit, while the two copies of the second system together do more in some figures of merit than the two copies of the original system. This finding unveils a conceptual discrepancy between classical information and its carrier, and implies the possibility of hiding classical information in a form of quantum information.

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