Quantum Algorithms

Quantum Algorithms

A Survey of Applications and End-to-end Complexities

Gilyen, Andras; Kubica, Aleksander; Dalzell, Alexander M.; Kastoryano, Michael J.; Hann, Connor T.; McArdle, Sam; Bienias, Przemyslaw; Chen, Chi-Fang; Berta, Mario; Khabiboulline, Emil T.

Cambridge University Press

04/2025

Mole

Inglês

9781009639668

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Part I. Areas of Application: 1. Condensed matter physics; 2. Quantum chemistry; 3. Nuclear and particle physics; 4. Combinatorial optimization; 5. Continuous optimization; 6. Cryptanalysis; 7. Solving differential equations; 8. Finance; 9. Machine learning with classical data; Part II. Quantum Algorithmic Primitives: 10. Quantum linear algebra; 11. Hamiltonian simulation; 12. Quantum Fourier transform; 13. Quantum phase estimation; 14. Amplitude amplification and estimation; 15. Gibbs sampling; 16. Quantum adiabatic algorithm; 17. Loading classical data; 18. Quantum linear system solvers; 19. Quantum gradient estimation; 20. Variational quantum algorithms; 21. Quantum tomography; 22. Quantum interior point methods; 23. Multiplicative weights update method; 24. Approximate tensor network contraction; Part III. Fault-Tolerant Quantum Computing: 25. Basics of fault tolerance; 26. Quantum error correction with the surface code; 27. Logical gates with the surface code; Appendix; References; Index.
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