Quantum Algorithms - Design and Analysis: Investigating the design and analysis of quantum algorithms for solving computational problems with quantum speedup, including Shor's and Grover's algorithms
Keywords:
Quantum computingAbstract
Quantum computing represents a paradigm shift in computation, promising exponential speedup for certain problems over classical computers. Quantum algorithms play a pivotal role in harnessing this potential, with designs and analyses tailored to exploit quantum phenomena. This paper provides a comprehensive review of quantum algorithms, focusing on the design principles and analytical frameworks that underpin their efficiency. We delve into two seminal algorithms, Shor's and Grover's, illustrating their quantum advantage and exploring the theoretical and practical aspects of their implementation. Through this exploration, we aim to elucidate the intricate interplay between quantum mechanics and computer science, highlighting the transformative potential of quantum algorithms in addressing complex computational challenges.
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