A Novel Reversible Four Bit One’s Complement Quantum Gate (OCQG-4B)

The emerging field of Quantum Computing is still in its infancy stage. Much research has been done to develop application specific quantum gates for combinational and arithmetic logic. Still, there are shortcomings in this inventory of designs. In this paper, a Toffoli representation is provided for quantum implementation in both simulation as well as execution on an IBM quantum computer. Quantum metrics are provided for analysis of the proposed quantum gate design. The work presented here is an attempt to fill a single deficiency in this repertoire with the proposal of a Four Bit, One's Complement, Quantum Gate (OCQG-4B). This quantum gate design is both novel and reversible.