The primary focus of this thesis is the investigation of the quantum algorithm for linear systems of equations (HHL) for the valuation of multi-asset options, a particular type of financial instrument ...

The HHL quantum algorithm [1] is a procedure that addresses the resolution of linear systems of equations (QLSP). Under certain conditions, the algorithm has a logarithmic order in the number of ...

There have been a lot of researches about algebric analysis of AES. In this paper, we turned to quantum algorithm to analyze security of AES-128 against the modified HHL algorithm, which is a quantum ...

Solving the system of linear equations with the 1-Bit HHL algorithm The Harrow–Hassidim–Lloyd (HHL) algorithm promises a complexity improvement over the best classical alternatives for solving sparse ...

Abstract: Solving systems of linear equations is important both in classical and quantum computing. Harrow-Hassidim-Lloyd algorithm (HHL algorithm), a quantum algorithm for solving systems of linear ...

Abstract: After learning basic quantum computing concepts, it is desirable to reinforce the learning using an important and relatively complex algorithm through which students can observe and ...