A New Way to Implement Quantum Computation

• 作者: Gennaro Auletta
• 来源期刊: 量子信息科学期刊(英文)
• 学科: 数学
• 关键词: Lindenbaum-Tarski ALGEBRA 3D Logical Space Mechanical Computation INFERENCE Quantum Com-puting RAISING OPERATORS Lowering OPERATORS
• 年，卷（期）: 2013,（4）
• 页码范围: 127-137
• 页数: 11页
• 分类号: O1

摘要

In this paper, I shall sketch a new way to consider a Lindenbaum-Tarski algebra as a 3D logical space in which any one (of the 256 statements) occupies a well-defined position and it is identified by a numerical ID. This allows pure mechanical computation both for generating rules and inferences. It is shown that this abstract formalism can be geometrically represented with logical spaces and subspaces allowing a vectorial representation. Finally, it shows the application to quantum computing through the example of three coupled harmonic oscillators.