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Upper bound on the generation rate for nondeterministic random bits in a chaotic laser system

Author

Listed:
  • Zhao, Yuan
  • Li, Pu
  • Yuan, Hao
  • Guo, Chunyu
  • Shore, K. Alan
  • Qin, Yuwen
  • Wang, Yuncai

Abstract

We experimentally investigate the upper bound on the generation rate for nondeterministic random bits in a delayed feedback chaotic laser system. After obtaining the random bits in the context of 1-bit quantization of the chaotic intensity, we calculate the Shannon entropy and the recovery time (the time for the growth of Shannon entropy) as the bias current and the feedback strength change. Our results show that the recovery time first decreases and then converges to a stationary value with increase of the feedback strength when we fix the bias current at its optimal value. This means there exists a highest sampling rate for nondeterministic random bit generation in the chaotic laser system. Further investigation confirms that the maximum Lyapunov exponent determine the recovery time which depends on external parameters.

Suggested Citation

  • Zhao, Yuan & Li, Pu & Yuan, Hao & Guo, Chunyu & Shore, K. Alan & Qin, Yuwen & Wang, Yuncai, 2024. "Upper bound on the generation rate for nondeterministic random bits in a chaotic laser system," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    • Handle: RePEc:eee:chsofr:v:186:y:2024:i:c:s0960077924008270
    DOI: 10.1016/j.chaos.2024.115275
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