In a more and more digital world, the protection of sensitive data is an essential challenge. Current cryptographic methods rely on one-way functions based on computationally challenging problems. However, there are several candidates for runtime efficient computing that might require new methods for data security. Among them are Universal Memcomputing Machines (UMM) for which a memristive circuit realization exists, where the eponymous element is a resistor with memory called memristor. While the original concept of UMMs is purely theoretical, we extend the state of the art by providing a thorough circuit theoretical analysis, utilizing models of real memristors and derive a highly flexible software emulator. The deployed memristor is an RRAM-cell which is known to have a rapid transition behavior, making it a suitable choice for runtime critical applications like UMMs. To obtain the emulator, we exploit the wave digital concept which is known to preserve passivity in a signal processing sense. The proper functioning is verified by solving an NP-complete subset sum problem.

中文翻译：

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使用物理忆阻器模型迈向波数字记忆计算

在越来越数字化的世界中，保护敏感数据是一项必不可少的挑战。当前的密码方法依赖于基于计算挑战性问题的单向函数。但是，有几个运行时高效计算的候选者可能需要新的数据安全方法。其中包括存在忆阻电路实现的通用记忆计算机 (UMM)，其中同名元素是称为忆阻器的具有记忆功能的电阻器。虽然 UMM 的原始概念纯粹是理论性的，但我们通过提供全面的电路理论分析、利用真实忆阻器模型并推导出高度灵活的软件仿真器来扩展现有技术。部署的忆阻器是一个 RRAM 单元，已知具有快速转换行为，使其成为 UMM 等运行时关键应用程序的合适选择。为了获得仿真器，我们利用已知的波数字概念来保持信号处理意义上的无源性。通过解决 NP 完全子集和问题来验证正确的功能。