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This work proposes a PPRM-based technique for the synthesis of reversible circuits with reduced quantum cost (QC) in generated circuits. Initially, a PPRM cube-list structure is provided as input. Next, the PPRM cubes shared by coordinate functions of a given reversible function are grouped together and each cube is translated to a group of Toffoli reversible gates, similarly to ESOP-based methods. Experimental results show that for important benchmarks with up to 17 variables the presented approach generates circuits with smaller QC than the most successful previous approaches.
Jerzy Jegier andPaweł Kerntopf
"PPRM-based approach to synthesis of reversible functions", Proc. SPIE 10445, Photonics Applications in Astronomy, Communications, Industry, and High Energy Physics Experiments 2017, 1044523 (7 August 2017); https://doi.org/10.1117/12.2280943
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Jerzy Jegier, Paweł Kerntopf, "PPRM-based approach to synthesis of reversible functions," Proc. SPIE 10445, Photonics Applications in Astronomy, Communications, Industry, and High Energy Physics Experiments 2017, 1044523 (7 August 2017); https://doi.org/10.1117/12.2280943