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 …

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.

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 …

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 …

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 …

Quantum State Space: In quantum mechanics, the (quantum) state of a physical system is represented by anormalized vectorin aHilbert space, denoted as H: a complex vector space …

Jul 23, 2025 · Quantum Annealing:Quantum annealing is a process used by quantum algorithms to find the global minimum of a function. Quantum-inspired optimization algorithms use similar …

Oct 22, 2025 · The Quantum Echoes algorithm, a verifiable quantum advantage This is the first time in history that any quantum computer has successfully run a verifiable algorithm that …

Oct 4, 2023 · Here we present a survey of several potential application areas of quantum algorithms and their underlying algorithmic primitives, carefully considering technical caveats …