Crypto Reading Group on quantum computing | Mojtaba Fadavi and Taha Hedayat, Quantum Circuits

Abstract: Equipped with the knowledge of quantum information, we present how to use quantum states to build a quantum algorithm. While classical circuits represent how one makes algorithms using the bits 0 and 1, quantum circuits represent how one makes algorithms using qubits $\ket{\alpha} = \alpha_0 \ket{0} + \alpha_1\ket{1}$. In this presentation, we will introduce the definition and presentation of quantum gates. Starting with 1-qubit gates and expanding to n-qubit gates. We also present the standard gates such as the Pauli Gates, CNOT, CCNOT, SWAP, etc. Then we proceed to see the effects and interactions of these gates along with some measurements.