New Two-Qubit Gate Library with Entanglement

The NCV (NOT, CNOT and Controlled-V/V) gate set is most commonly used for the realization of classical reversible functions and implementation of quantum circuits. Logic operations in quantum circuits are performed by individual gates or can be expressed as matrix-vector multiplication. Thispaper presents a two-qubit quantum gate library which consists most commonly used elementary quantum gates NOT, CNOT, Controlled-V and Controlled-V. The new library contains all possible two-qubit quantum gates which do not produce entangled states in the final output state. Two approaches have been appliedto generate the new two-qubit quantum gate library because it hasbeen observed that some entangled gates act like non-entangledif those entangled gates are merged with other valid gates in thelibrary. The experimental result shows the difference betweenthe libraries with and without considering entangled gates in theprocess of generating new gates.