Paper Details

Logic gates like AND, OR, XOR are example of irreversible gates for which no input is calculated from eachoutput. But in case of reversible gates like NOT, CNOT, HADAMARD, TOFFOLI, V, V+, etc. each input is calculatedfrom each output, because no energy(information) loss is the best feature of reversible gates. And hence moreresearchers focus on reversible circuits, which are used in quantum circuits or networks. Quantum computing is aprocess that incorporates interacting physical systems that represent quantum bits and quantum gates. We present thequantum bit(qubit), the quantum register and the quantum gates. The qubit is described as a vector in a two dimensionalHilbert space and the quantum register, which comprises a number of qubits, as a vector in a multidimensional Hilbertspace. Any gates transform the input bits to the output bits in some deterministic fashion according to the definition ofthe logic gate. Quantum gates are Hilbert space operators that rotate the qubit or the quantum register vectors. Wepresent the currently used two optimization methods one is template based and second is window based for reversibleand quantum circuits. Finally, we have implemented our method using the benefits of above two. Quantum circuitoptimization is useful to reduce the quantum cost for those circuits, where optimization is applicable. Response time isreduced for complex computations.

Yogesh B. Patel, Harikrishna B. Jethva, “QUANTUM CIRCUIT OPTIMIZATION (FOR 3 QUBITS)”, International Journal of Advance Engineering and Research Development (IJAERD), Vol. 2, Issue 6, pp. 301-308, June 2015.