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Generating Toffoli Networks from ESOP Expressions

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

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Generating Toffoli Networks from ESOP Expressions

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  1. 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 1 2 Template 2 1 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?

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