Quantum algorithms can be categorized by the main techniques involved in the algorithm. Some commonly used techniques/ideas in quantum algorithms include phase kick-back, phase estimation, …

Finally we will see how to set up the initial stage of the quantum algorithm, which converts the input N into an exponentially large superposition with the right kind of pattern.

Lecture Notes on Quantum Algorithms Andrew M. Childs Department of Computer Science, Institute for Advanced Computer Studies, and Joint Center for Quantum Information and Computer Science …

Sep 9, 2024 · Quantum algorithms are computational procedures that utilize the principles of quantum mechanics to solve specific problems more efficiently than their classical counterparts.

Note that, quantum algorithms for solving nonlinear equations generally encode the solution into the amplitudes of a quantum state, and thus unitarity implies that the algorithms will not be efficient if …

Quantum algorithms are unarguably the necessary software support for quantum computers, and the research of quantum algorithms is also a powerful driving force to promote the progress of quantum …

May 27, 2025 · But what exactly is a quantum algorithm, and how does it work? In this ultimate guide, we'll break down the fundamentals of quantum algorithms, explore their key types, real-world …

This book surveys the fruits of this effort, covering proposed quantum algorithms for concrete problems in many application areas, including quantum chemistry, optimization, finance, and machine learning.

Jan 12, 2016 · Here we briefly survey some known quantum algorithms, with an emphasis on a broad overview of their applications rather than their technical details. We include a discussion of recent...

However, quantum algorithms differ from their classical counterparts in that they can make use of the unique properties of quantum mechanics such as superposition, entanglement, and interference to …