Applications of single photons to quantum communication and computing

C Couteau, S Barz, T Durt, T Gerrits, J Huwer… - Nature Reviews …, 2023 - nature.com
In the context of quantum technologies, the generation and manipulation of single photons
has become a key element for applications such as quantum communication and quantum …

Qudits and high-dimensional quantum computing

Y Wang, Z Hu, BC Sanders, S Kais - Frontiers in Physics, 2020 - frontiersin.org
Qudit is a multi-level computational unit alternative to the conventional 2-level qubit.
Compared to qubit, qudit provides a larger state space to store and process information, and …

Variational quantum linear solver

C Bravo-Prieto, R LaRose, M Cerezo, Y Subasi… - Quantum, 2023 - quantum-journal.org
Previously proposed quantum algorithms for solving linear systems of equations cannot be
implemented in the near term due to the required circuit depth. Here, we propose a hybrid …

Solving nonlinear differential equations with differentiable quantum circuits

O Kyriienko, AE Paine, VE Elfving - Physical Review A, 2021 - APS
We propose a quantum algorithm to solve systems of nonlinear differential equations. Using
a quantum feature map encoding, we define functions as expectation values of parametrized …

Quantum algorithms: an overview

A Montanaro - npj Quantum Information, 2016 - nature.com
Quantum computers are designed to outperform standard computers by running quantum
algorithms. Areas in which quantum algorithms can be applied include cryptography, search …

Experimental realization of a quantum support vector machine

Z Li, X Liu, N Xu, J Du - Physical review letters, 2015 - APS
The fundamental principle of artificial intelligence is the ability of machines to learn from
previous experience and do future work accordingly. In the age of big data, classical …

Quantum image processing and its application to edge detection: theory and experiment

XW Yao, H Wang, Z Liao, MC Chen, J Pan, J Li… - Physical Review X, 2017 - APS
Processing of digital images is continuously gaining in volume and relevance, with
concomitant demands on data storage, transmission, and processing power. Encoding the …

High-order quantum algorithm for solving linear differential equations

DW Berry - Journal of Physics A: Mathematical and Theoretical, 2014 - iopscience.iop.org
Linear differential equations are ubiquitous in science and engineering. Quantum computers
can simulate quantum systems, which are described by a restricted type of linear differential …

[HTML][HTML] A survey on HHL algorithm: From theory to application in quantum machine learning

B Duan, J Yuan, CH Yu, J Huang, CY Hsieh - Physics Letters A, 2020 - Elsevier
Abstract The Harrow-Hassidim-Lloyd (HHL) algorithm is a method to solve the quantum
linear system of equations that may be found at the core of various scientific applications …

Entanglement-based machine learning on a quantum computer

XD Cai, D Wu, ZE Su, MC Chen, XL Wang, L Li, NL Liu… - Physical review …, 2015 - APS
Machine learning, a branch of artificial intelligence, learns from previous experience to
optimize performance, which is ubiquitous in various fields such as computer sciences …