Paper Info
Title
Computing Naturally in the Billiard Ball Model
Abstract
Fredkin's Billiard Ball Model (BBM) is considered one of the fundamental models of collision-based computing, and it is essentially based on elastic collisions of mobile billiard balls. Moreover, fixed mirrors or reflectors are brought into the model to deflect balls to complete the computation. However, the use of fixed mirrors is "physically unrealistic" and makes the BBM not perfectly momentum conserving from a physical point of view, and it imposes an external architecture onto the computing substrate which is not consistent with the concept of "architectureless" in collision-based computing. In our initial attempt to reduce mirrors in the BBM, we present a class of gates: the m -counting gate, and show that certain circuits can be realized with few mirrors using this gate. We envisage that our findings can be useful in future research of collision-based computing in novel chemical and optical computing substrates.
Year
DOI
Venue
2009
10.1007/978-3-642-03745-0_29
UC
Keywords
Field
DocType
external architecture,billiard ball model,optical computing substrate,certain circuit,initial attempt,collision-based computing,elastic collision,fundamental model,computing substrate,optical computing
Dynamical billiards,Ball (bearing),Collision,Momentum,Electronic circuit,Elastic collision,Classical mechanics,Optical computing,Computation,Physics
Conference
Volume
ISSN
Citations 
5715
Proceedings of the 8th International Conference on Unconventional Computation, UC09, Ponta Delgada, Portugal; Springer-Verlag: Berlin / Heidelberg, 2009
0
PageRank 
References 
Authors
0.34
2
1
Name
Order
Citations
PageRank
Liang Zhang16410.30