Showing papers on "Qubit published in 1981"
01 Jan 1981
TL;DR: In this paper, a non-standard quantum logic called (L44, M22) is presented, where M22 is strongly order determining on L44 and the property violated in L44 but satisfied in Hilbert space is a variant of Desargues' Theorem.
Abstract: Since the discovery of non-Euclidian geometries the academic community has widely recognized the importance of non-standard models of axiomatic systems. This paper presents a non-standard quantum logic, call it (L44, M22). Previous examples5,6 of non-standard quantum logics were non-standard by reason of the fact that the states were not strongly order determining. M22 is strongly order determining on L44. The property violated in L44 but satisfied in Hilbert space is a variant of Desargues’ Theorem. It is called the ortho- Arguesian law and was first formulated by Alan Day.
38 citations