Generating Toffoli Networks from ESOP Expressions Yasaman Sanaee Winter 2009 University of New Brunswick

2 Outline Motivation Background –Reversible Logic –ESOP-based Toffoli gate cascade Our method –Shared ESOP cubes –Make Shared Toffoli Gate Cascade –Templates Future Work and Conclusion

3 Motivation Launder and Bennett Reversible Logic Applications 1) Quantum Computing/Computers 2) Optical Computing 3) Low Power CMOS How make a circuit from a logical function?

4 Reversible Logic Reversible Functions

5 Reversible Logic Reversible Gates Toffoli Gates Cascade of Gates ESOP cubes cube

6 Our Method Find shared cubes Reorder ESOP Generate Shared Toffoli gates

7 Our Method Reduce the number of Toffoli gates and Quantum Cost Converge High number of Not gates Solution? Template Matching

8 Our Method 21 Template 21 Circuit

9 Future Work and Conclusion Future Works: Template Matching Works for small number of input and outputs Some Transformation to reduce the number of NOTs Conclusion Converge Method to generate Toffoli gate cascade (even large number of input and output ) Optimization (Template Matching) Experimental Results

10 Questions?