Asymptotically Optimal Regular Synthesis of Reversible Logic Networks

نویسندگان

  • Dmitri Maslov
  • Gerhard W. Dueck
چکیده

We propose a network of generalized Toffoli gates with multiple EXORs for the realization of reversible functions. If implemented as a quantum circuit, the cost of such gates is shown to be only marginally higher than the cost of a Toffoli gate with a single EXOR and the same number of controls. The main result is a regular synthesis procedure which allows for the creation of asymptotically optimal reversible networks. However, asymptotic optimality does not necessarily mean absolute optimality. Thus, when the algorithm terminates, and a network is created, simplification procedures that may reduce the number of gates in the network can be applied.

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تاریخ انتشار 2003