Enhancement of “logical” responses by noise in a bistable optical system

Abstract

We verify numerically the phenomenon of logical stochastic resonance in a polarization bistable laser. Namely, we show that when one presents two weak binary inputs to the laser system, the response mirrors a logical OR(NOR) output. The reliability of the logic operation is dependent on the noise intensity. As one increases the noise, the probability of the output reflecting the desired OR(NOR) operation increases to nearly unity and then decreases. We also demonstrate that changing the bias morphs the output into another logic operation, AND(NAND), whose probability displays analogous behavior. Furthermore, we highlight the possibility of processing two logic gates in parallel in our laser system by exploiting two coupled orthogonal polarizations that can be detected simultaneously. This suggests that the computational power of the optical system may be enhanced by this additional potential for parallel processing.

Control of logic gates by dichotomous noise in energetic and entropic systems

“…The working principle of a complicated network may be analyzed in terms of these two binary digits. Their implementation has been extended to various other kinds of systems [58,59,[61][62][63][64][65][66] apart from electronic circuits. The two basic logic operations are OR (or NOR) and AND (or NAND) operations.…”

Noise-Induced Phase Locking and Frequency Mixing in an Optical Bistable System with Delayed Feedback

“…From a practical point of view, studies on SR and CR in optical bistable systems have the potential to develop noiseaided systems, such as optical sensors 17) and optical logic gates. 18) We have demonstrated that SR occurred in an optical bistable system, 19) and that the system generates information gain for binary input. 20) In these studies, we have used an optical bistable system that comprises an electro-optic modulator and an electric feedback.…”

Logic gates for entropic transport

“…Since all combinations of input signals can have two types of output, the "on" state and the "off" state, or the "true" state and the "false" state, logic gates are used, in general, to construct electronic devices using digital circuits [1,2]. Although the logic gate primarily produces electronic switches, the underlying idea has been extended to optical [3], chemical [4], physical [5], mechanical [6], biological [7], molecular [8], and many other systems [9]. The two states mentioned are, in general, separated by different types of energy barriers.…”