Quantum Computing: Algorithms and Applications

Abstract

Quantum computing is a modern new paradigm of computation similarly exploiting the standards of quantum mechanics like superposition, entanglement and quantum interference to finish computations a good way to be unfathomable for classical computers. This paper follows the trails to the theoretical foundations of quantum computing and offers with a few essential algorithms for quantum computing like Shor's set of rules for factorization, Grover's set of rules for search, Quantum Fourier Transform and Quantum Approximate Optimization Algorithm (QAOA). This paper specializes in how complicated the computation is, mathematical ideas underlying such algorithms and their feasible makes use of in cryptography, optimization and simulation in quantum. By sifting thru the interaction among quantum mechanics and algorithmic design, this paintings offers a few perception into the mechanisms that permit for quantum speedup, the cutting-edge obstacles due to hardware obstacles and mistakess charges and what may be carried out withinside the destiny each theoretically and empirically.