Set–Reset latch logical operation induced by colored noise

• We prove the Set–Reset latch logical operation can be obtained in nonlinear system.
• The LSR phenomenon is obtained driven by OU noise.
• Under strong noisy background, the logical output is better driven by strong correlated noise.
• At fixed noise intensity, the accuracy evolves nonmonotonically as correlation time increases.

We examine the possibility of obtaining Set–Reset latch logical operation in a symmetric bistable system subjected to OU noise. Three major results are presented. First, we prove the Set–Reset latch logical operation can be obtained driven by OU noise. Second, while increasing the correlation time, the optimal noise band shifts to higher level and becomes wider. Meanwhile, peak performance degrades from 100% accuracy, but the system can still perform reliable logical operation. Third, at fixed noise intensity, the success probability evolves non-monotonically as correlation time increases. The study might provide development of the new paradigm of memory device.