Applying quantum algorithms to constraint satisfaction problems

E Campbell, A Khurana, A Montanaro - Quantum, 2019 - quantum-journal.org
Quantum algorithms can deliver asymptotic speedups over their classical counterparts.
However, there are few cases where a substantial quantum speedup has been worked out …

Quantum speedups for exponential-time dynamic programming algorithms

A Ambainis, K Balodis, J Iraids, M Kokainis… - Proceedings of the …, 2019 - SIAM
In this paper we study quantum algorithms for NP-complete problems whose best classical
algorithm is an exponential time application of dynamic programming. We introduce the path …

Low-depth mechanisms for quantum optimization

JR McClean, MP Harrigan, M Mohseni, NC Rubin… - PRX Quantum, 2021 - APS
One of the major application areas of interest for both near-term and fault-tolerant quantum
computers is the optimization of classical objective functions. In this work, we develop …

Quantum walk speedup of backtracking algorithms

A Montanaro - arxiv preprint arxiv:1509.02374, 2015 - arxiv.org
We describe a general method to obtain quantum speedups of classical algorithms which
are based on the technique of backtracking, a standard approach for solving constraint …

Quantum information processing algorithms with emphasis on machine learning

GS Uehara, A Spanias, W Clark - 2021 12th International …, 2021 - ieeexplore.ieee.org
Quantum Computing (QC) promises to elevate computing speed by an estimated 100 million
times. Several applications, including signal processing, machine learning, big data …

Advanced quantum image representation and compression using a DCT-EFRQI approach

ME Haque, M Paul, A Ulhaq, T Debnath - Scientific Reports, 2023 - nature.com
In recent years, quantum image computing draws a lot of attention due to storing and
processing image data faster compared to classical computers. A number of approaches …

Diabatic quantum annealing for the frustrated ring model

J Côté, F Sauvage, M Larocca, M Jonsson… - Quantum Science …, 2023 - iopscience.iop.org
Quantum annealing (QA) is a continuous-time heuristic quantum algorithm for solving or
approximately solving classical optimization problems. The algorithm uses a schedule to …

Block-Wise Compression Of The Quantum Gray-Scale Image Using Lossy Preparation Approach

E Haque, M Paul - … Conference on Multimedia and Expo (ICME …, 2024 - ieeexplore.ieee.org
Quantum computing draws huge attention due to the multidimensional information
processing capability of the processor at the same time. The main idea of quantum imaging …

Quantum hybrid algorithm for solving sat problem

CM Varmantchaonala, JLKE Fendji, JPT Njafa… - … Applications of Artificial …, 2023 - Elsevier
Combinatorial problems usually have a large search space, and almost all classical
algorithms for solving this class of problems are inefficient for real-life input sizes. Quantum …

Quantum speedup of the traveling-salesman problem for bounded-degree graphs

AE Moylett, N Linden, A Montanaro - Physical Review A, 2017 - APS
The traveling-salesman problem is one of the most famous problems in graph theory.
However, little is currently known about the extent to which quantum computers could speed …