Noninteger dimensionality, nonlocal noise and self-decoherence
- Subhash Kak
Abstract
This paper argues that noninteger dimensionality creates a hitherto
unexplored source of nonlocal noise, called ND noise or NDN, that is
likely to play a role in measurements at very small distances. New
analysis on scale invariant probability distributions arising from
noninteger dimensionality is presented. The significance of this when
considering performance and noise-correction coding in models of quantum
computing is indicated. It is argued that NDN noise will lead to
decoherence even without interaction with the environment and it is
likely to be relevant also in models of cognition.