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Entropy considerations in improved circuits for a biologically-inspired random pulse computer.

Mario Stipčević1, Mateja Batelić2,3

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This study introduces novel circuits for random pulse computing (RPC), a biologically-inspired computing method. The research uniquely applies entropy to predict circuit determinism and enhance calculation precision using quantum-derived random flip-flops.

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Area of Science:

  • Computer Science
  • Quantum Computing
  • Information Theory

Background:

  • Random Pulse Computing (RPC) represents a biologically-inspired paradigm where variables are encoded as pulse train frequencies, not logic states.
  • Existing RPC methods often rely on deterministic circuitry with randomness from electronic noise or pseudorandom generators.
  • The operational principles of RPC circuits, particularly concerning entropy, have not been thoroughly investigated.

Purpose of the Study:

  • To introduce five novel or modified circuits for building a universal computer based on the RPC paradigm.
  • To investigate the operation of RPC circuits through the lens of entropy for the first time.
  • To establish a criterion for predicting the possibility of deterministic circuits for mathematical operations and assess its impact on numerical precision.

Main Methods:

  • Development of five novel or modified circuits for RPC.
  • Introduction and application of the entropy budget criterion (EBC) to analyze RPC circuit determinism.
  • Utilization of the random flip-flop (RFF), leveraging quantum processes for randomness in both variable generation and signal processing.

Main Results:

  • Five novel or modified RPC circuits were designed and presented.
  • The entropy budget criterion (EBC) was introduced, demonstrating its effectiveness in predicting circuit determinism and relevance to numerical precision.
  • A novel approach using RFFs for both variable generation and signal processing was implemented, offering enhanced precision and randomness.

Conclusions:

  • The developed RPC circuits and the EBC provide a robust framework for deterministic computation using random pulse trains.
  • The RFF-based approach offers superior precision and randomness compared to previous methods, simplifying circuit design.
  • This work advances the field of biologically-inspired computing by integrating quantum randomness and information theory principles.