The first algorithms
In this video we just give a quick overview of the first algorithms that were developed in the context of quantum computing. Taking place at the very end of last century, Shor’s algorithm and Grover’s algorithm were considered an inflection point in this matter, proving that quantum computing could achieve solutions out of reach for classical devices. These solutions were designed with a well-defined mathematical formalism, so there is mathematical proof of a quantum advantage on their definition.
Main takeaways
- Certain quantum algorithms prove a quantum advantage.
- A few critical domains under the scope of fault-tolerant devices: cryptography.
- Recent field with a lot of potential also in the software domain.
Further thinking
True or False: We can improve Grover’s algorithm by substituting some of its parts with classical devices.
Further reading
Quantum Information and Quantum Computation. Michael A. Nielsen and Isaac L. Chuang
Variational Quantum Factoring. Eric R. Anschuetz, et al. arXiv:1808.08927
Complete 3-Qubit Grover search on a programmable quantum computer C. Figgatt et al. Nature Communications 8, 1918 (2017)