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Synthesis Of Linear Reversible Circuits And Exor-And-Based Circuits For Incompletely Specified Multi-Output Functions, Ben Schaeffer

Dissertations and Theses

At this time the synthesis of reversible circuits for quantum computing is an active area of research. In the most restrictive quantum computing models there are no ancilla lines and the quantum cost, or latency, of performing a reversible form of the AND gate, or Toffoli gate, increases exponentially with the number of input variables. In contrast, the quantum cost of performing any combination of reversible EXOR gates, or CNOT gates, on n input variables requires at most O(n^₂/log₂n) gates. It was under these conditions that EXOR-AND-EXOR, or EPOE, synthesis was developed.

In this …