New Two-Qubit Gate Library with Entanglement

The NCV (NOT, CNOT and Controlled-V/V-dagger) gate set is most commonly used for 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. This paper presents a two-qubit quantum gate library which consists most commonly used elementary quantum gates NOT, CNOT, Controlled-V and Controlled-V-dagger. 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 applied to generate the new two-qubit quantum gate library because it has been observed that some entangled gates act like non-entangled if those entangled gates are merged with other valid gates in the library. The experimental result shows the difference between the libraries with and without considering entangled gates in the process of generating new gates.