December 2024
Intermediate to advanced
494 pages
8h 28m
English
book
Quantum Machine Learning and Optimisation in Finance - Second Edition
by Antoine Jacquier, Oleksiy Kondratyev
Content preview from Quantum Machine Learning and Optimisation in Finance - Second Edition
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Chapter 15 Beyond NISQ
We would like to complete this book with a glance beyond the capabilities of NISQ computers. This chapter presents several important algorithms that, one day, will become the main building blocks of many quantum computing applications. We start with describing the workhorse of many important quantum algorithms, the Quantum Fourier Transform (QFT), before moving to its flagship application, the Quantum Phase Estimation (QPE), and then discussing the possibility of achieving quantum speedup with the Quantum Monte Carlo (QMC) and the Quantum Linear Solver (QLS) algorithms.
15.1 Quantum Fourier Transform
In the classical setting, the discrete Fourier transform maps a vector
to a vector
the components of which read ...
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