The quantum Fourier transform offers an interesting way to perform arithmetic operations on
a quantum computer. We review existing quantum Fourier transform adders and multipliers …

Quantum computation appears to offer significant advantages over classical computation
and this has generated a tremendous interest in the field. In this thesis we study the …

Following the recent great advance of quantum computing technology, there are growing
interests in its applications to industries, including finance. In this article, we focus on …

It is known that quantum computers can speed up Monte Carlo simulation compared to
classical counterparts. There are already some proposals of application of the quantum …

The quantum Fourier transform, with exponential speed-up compared to the classical fast
Fourier transform, has played an important role in quantum computation as a vital part of …

Quantum algorithms for scientific computing require modules implementing fundamental
functions, such as the square root, the logarithm, and others. We require algorithms that …

Quantum arithmetic in the computational basis constitutes the fundamental component of
many circuit-based quantum algorithms. There exist a lot of studies about reversible …

In this paper we provide a quantum Monte Carlo algorithm to solve high-dimensional Black-
Scholes PDEs with correlation for high-dimensional option pricing. The payoff function of the …

Quantum algorithms for the pricing of financial derivatives have been discussed in recent
papers. However, the pricing model discussed in those papers is too simple for practical …

The quantum Fourier transform (QFT) brings efficiency in many respects, especially usage of
resource, for most operations on quantum computers. In this study, the existing QFT-based …