Efficient Synthesis of Linear Reversible Circuits

  title={Efficient Synthesis of Linear Reversible Circuits},
  author={Ketan N. Patel and Igor L. Markov and John P. Hayes},
gates. We present an algorithm that is optimal up to a multiplicativ e constant, as well asΘ(log n) times faster than previous methods. While our results are pr imarily asymptotic, simulation results show that even for relative ly small n our algorithm is faster and yields more efficient circuits than the standar d method. Generically our algorithm can be interpreted as a matrix decomposition a lgorithm, yielding an asymptotically efficient decomposition of a binary matri x into a product of… CONTINUE READING

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