9 citations · 20 across the 8 of their papers we have counts for
8 papers
Quantum Circuits for Quantum Spatial Search on -Dimensional Lattices
Rei Sato
We propose an explicit quantum circuit for quantum spatial search based on discrete-time quantum walks on -dimensional lattices. In this algorithm, the flip-flop shift operator…
Quantum Counterparty Credit Risk: A Study of Path-Dependent Derivatives
Sandeep Jha, Richard Oentaryo, Sanjay Sekaran +7
Estimating potential future exposure (PFE) for path-dependent derivatives, such as FX Target Redemption Forwards (TARFs), represents a formidable computational challenge due to the…
Quantum walk search based edge detection of images
Pulak Ranjan Giri, Rei Sato, Kazuhiro Saito
Quantum walk has emerged as an essential tool for searching marked vertices on various graphs. Recent advances in the discrete-time quantum walk search algorithm have enabled it to…
Circuit Implementation of Discrete-Time Quantum Walks on Complex Networks
Rei Sato, Kazuhiro Saito
In this paper, we propose a circuit design for implementing quantum walks on complex networks. Quantum walks are powerful tools for various graph-based applications such as spatial…
QWalkVec: Node Embedding by Quantum Walk
Rei Sato, Shuichiro Haruta, Kazuhiro Saito +1
In this paper, we propose QWalkVec, a quantum walk-based node embedding method. A quantum walk is a quantum version of a random walk that demonstrates a faster propagation than a r…
Two-Step Quantum Search Algorithm for Solving Traveling Salesman Problems
Rei Sato, Gordon Cui, Kazuhiro Saito +3
Quantum search algorithms, such as Grover's algorithm, are anticipated to efficiently solve constrained combinatorial optimization problems. However, applying these algorithms to t…
Universal scaling hypothesis of quantum spatial search in complex networks
Rei Sato, Tetsuro Nikuni, Kayoko Nohara +2
Since quantum spatial searches on complex networks have a strong network dependence, the question arises whether the universal perspective exists in this quantum algorithm for comp…
Scaling Hypothesis of Spatial Search on Fractal Lattice Using Quantum Walk
Rei Sato, Tetsuro Nikuni, Shohei Watabe
We investigate a quantum spatial search problem on fractal lattices, such as Sierpinski carpets and Menger sponges. In earlier numerical studies of the Sierpinski gasket, the Sierp…