Using πDDs in the Design of Reversible Circuits

  • Mathias Soeken
  • Robert Wille
  • Shin-ichi Minato
  • Rolf Drechsler
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7581)


With πDDs a data structure has recently been introduced that offers a compact representation for sets of permutations. Since reversible functions constitute permutations on the input assignments, they can naturally be expressed using this data structure. However, its potential has not been exploited so far. In this work-in-progress report, we present and discuss possible applications of πDDs within the design of reversible circuits including techniques for synthesis, debugging, and an efficient determination of the number of minimal circuits. We observed that πDDs inhibit the same space complexities as truth tables and, hence, do not superior existing design methods in many cases. However, they are advantageous when dealing with several functions or gates at once.


Boolean Function Truth Table Reversible Logic Quantum Circuit Compact Representation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Mathias Soeken
    • 1
    • 3
  • Robert Wille
    • 1
  • Shin-ichi Minato
    • 2
  • Rolf Drechsler
    • 1
    • 3
  1. 1.Institute of Computer ScienceUniversity of Bremen Group of Computer ArchitectureBremenGermany
  2. 2.Hokkaido UniversitySapporoJapan
  3. 3.DFKI GmbHCyber-Physical SystemsBremenGermany

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