Reversible Synthesis with Minimum logic function

Theory, Synthesis, and Application of Adiabatic and Reversible Logic Circuits for Security Applications

“…We demonstrated that the quantum cost of the circuits may be significantly reduced. 14.28% Fig 5 [27] B, C 7 5 28.57% example1 [27] A,B,C 7 6 14.28% example1 [27] A, B 7 5 28.57% example2 [27] A,B,C 5 5 0% example2 [27] A,C 5 4 20% example3 [27] A,B,C 7 6 14.28% example3 [27] A, C 7 5 28.57% Fig 3c [28] A, B, C 15 13 13.33% Fig 3c [28] A [30] P,Q,R,S,T 13 9 30.77%…”

“…Additionally, body biasing in transistors has been shown to improve the vulnerability of a CMOS circuit against DPA attacks [30] [31]. Since the threshold voltage of the pull-up transistors used in charge recovery varies the threshold voltage, the recovery itself is degraded, increasing the differential between peak and average power consumption and making the circuit more vulnerable to power analysis attacks.…”

Synthesizing Reversible Circuits for Irreversible Functions

“…One approach [5] is to use a minimizer to assign the DC but that tends to increase the output multiplicity and the number of garbage outputs and constant inputs that must be added. Our current approach is to assign the irreversible function DC to minimize the Hamming distance between the input and output patterns in each truth …”

“…Other approaches to DC assignment when embedding an irreversible function in a reversible specification can be found in [5], [12], [17]. The method in [5] requires a very high number of garbage lines while the method in [12] generates circuits using gates with a high number of controls.…”

“…The method in [5] requires a very high number of garbage lines while the method in [12] generates circuits using gates with a high number of controls. The approach in [17] is of note in that it applies to both reversible and certain types of quantum gates.…”