Key Highlights
- The fact that Shor’s algorithm cannot be run today does not mean that today’s encrypted data is safe, as Shor’s algorithm can be applied to historic data. Furthermore, cyberattackers are already stealing encrypted databases in anticipation of quantum computing maturing to be able to decipher them-a process known as “harvest now, decrypt later”.
- Despite progress in recent years, today’s quantum computers cannot run quantum algorithms at a meaningful scale. Thus far, only small-scale proofs of concept have been demonstrated. It is expected that, from 2030, quantum computing will reach commercial scale and that algorithms will be run on large-scale real-world use cases. The variational quantum eigensolver (VQE) algorithm, applicable to chemistry and materials simulations, is one of the few algorithms already in use.
Report Scope
- This report looks at six quantum algorithms: Shor's algorithm, Grover's algorithm, the Bernstein-Vazirani algorithm, the Harrow-Hassidim-Lloyd algorithm, variational quantum eigensolvers, and the quantum approximate optimization algorithm.
- It includes overviews of each, along with practical use cases.
- The report also identifies barriers to scalability and benchmarks the six algorithms against each other.
Reasons to Buy
- Quantum computing will be able to solve problems that today’s classical computers cannot. However, the learning curve for understanding the potential of quantum computing is steep, and businesses need to begin preparing now to secure a competitive advantage. This report is the ideal introduction to quantum algorithms and provides guidance on how businesses can protect their data and ensure trust with their customers and partners.
Table of Contents
- Executive Summary
- Introduction to Quantum Computing
- The Key Quantum Algorithms
- Barriers to Scalability
- Glossary
- Further Reading
- Report Authors
- Thematic Research Methodology
Companies Mentioned (Partial List)
A selection of companies mentioned in this report includes, but is not limited to:
- Atom Computing
- Atos
- D-Wave
- Fujitsu
- Hyundai
- IBM
- Infleqtion
- Intel
- IonQ
- JPMorgan Chase
- Microsoft
- Nokia
- NTT
- Nvidia
- Pasqal
- PsiQuantum
- QCI
- Quantinuum
- Quantum Brilliance
- Quantum Motion
- QuEra
- Rigetti
- Rolls-Royce
- Silicon Quantum Computing
- Xanadu

