Work

Grover Quantum Algorithm: Applications and Limits

Year: 2026

Type: reference-entry

Abstract: The Grover algorithm is a fundamental quantum algorithm that achieves a quadratic speedup for unstructured search problems, requiring O(√N) queries instead of O(N) classically. It works by repeatedly applying an oracle and a diffusion operator to amplify the probability of marked states. This advantage makes it relevant to cryptography, optimization, and constraint satisfaction and as a general primitive via amplitude amplification in areas like quantum machine learning and simulation. However, practical implementations are severely constrained by current noisy intermediate-scale quantum (NISQ) machines with limited coherence, deep oracle circuits, and lack of scalable Quantum RAM, restricting demonstrations to small-scale experiments with reproducibility challenges.

Source: Encyclopedia

DOI: 10.3390/encyclopedia6040089

Author: David R.C. Hill

Institutions: Centre National de la Recherche Scientifique, Université Clermont Auvergne, Laboratoire d'Informatique, de Modélisation et d'Optimisation des Systèmes, Institut Supérieur d’Informatique, de Modélisation et de leurs Applications, Clermont Auvergne INP

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,207

OpenAlex ID: W7154180489

Cites: 23

Cited by:

Related to: 10