Ternary Instantaneous Noise-Based Logic with Exponential Hilbert Space

IF 1.2 4区工程技术 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Fluctuation and Noise Letters Pub Date : 2023-12-20 DOI:10.1142/s0219477524500202

Laszlo B. Kish

引用次数: 0

Abstract

A tree-valued instantaneous noise-based logic with exponential Hilbert space is proposed. The third value is an uncertain bit value, which can be useful in artificial intelligence applications. The signal carrying the ternary universe has a significant advantage over the signal of the standard binary universe: its amplitude is never zero during any clock period. All known binary logic gates for exponential Hilbert space work for the binary sub-space in the ternary logic in the same way as they do in binary logic. This is useful when zeros cause problems in the exponential Hilbert space version of binary logic. Ternary logic is advantageous in various applications, including AI and natural language processing.

查看原文本刊更多论文

基于指数希尔伯特空间的三元瞬时噪声逻辑

提出了一种基于指数希尔伯特空间的树值瞬时噪声逻辑。第三个值是不确定的位值，可用于人工智能应用。与标准二进制宇宙信号相比，携带三元宇宙的信号有一个显著优势：在任何时钟周期内，其振幅都不会为零。所有已知的指数希尔伯特空间二进制逻辑门在三元逻辑的二进制子空间中的工作方式与在二进制逻辑中的工作方式相同。当零点在二进制逻辑的指数希尔伯特空间版本中造成问题时，这一点就非常有用。三元逻辑在包括人工智能和自然语言处理在内的各种应用中都具有优势。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Fluctuation and Noise Letters 工程技术-数学跨学科应用

CiteScore

2.90

自引率

22.20%

发文量

审稿时长

>12 weeks

期刊介绍： Fluctuation and Noise Letters (FNL) is unique. It is the only specialist journal for fluctuations and noise, and it covers that topic throughout the whole of science in a completely interdisciplinary way. High standards of refereeing and editorial judgment are guaranteed by the selection of Editors from among the leading scientists of the field. FNL places equal emphasis on both fundamental and applied science and the name "Letters" is to indicate speed of publication, rather than a limitation on the lengths of papers. The journal uses on-line submission and provides for immediate on-line publication of accepted papers. FNL is interested in interdisciplinary articles on random fluctuations, quite generally. For example: noise enhanced phenomena including stochastic resonance; 1/f noise; shot noise; fluctuation-dissipation; cardiovascular dynamics; ion channels; single molecules; neural systems; quantum fluctuations; quantum computation; classical and quantum information; statistical physics; degradation and aging phenomena; percolation systems; fluctuations in social systems; traffic; the stock market; environment and climate; etc.