4 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…
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…