5 papers
Efficient Simulation of Szegedy Quantum Walk Formulations and Algorithms
Sergio A. Ortega, Daniel K. Park
Quantum walks provide a versatile framework for quantum algorithms across a wide range of applications. We develop efficient classical simulation methods for Szegedy quantum walks…
Reverse Delegated Training and Private Inference via Perfectly-Secure Quantum Homomorphic Encryption
Sergio A. Ortega, Miguel A. Martin-Delgado
Quantum machine learning in cloud environments requires protecting sensitive data while enabling remote computation. Here we demonstrate the first realistic implementations of a pe…
Implementing Semiclassical Szegedy Walks in Classical-Quantum Circuits for Homomorphic Encryption
Sergio A. Ortega, Pablo Fernández, Miguel A. Martin-Delgado
As cloud services continue to expand, the security of private data stored and processed in these environments has become paramount. This work delves into quantum homomorphic encryp…
Complex-Phase Extensions of Szegedy Quantum Walk on Graphs
Sergio A. Ortega, Miguel A. Martin-Delgado
This work introduces a graph-phased Szegedy's quantum walk, which incorporates link phases and local arbitrary phase rotations (APR), unlocking new possibilities for quantum algori…
A Quantum Signature Validation Algorithm for Efficient Detection of Tampered Transactions in Blockchain
Jaime Torres, Sergio A. Ortega, Miguel A. Martin-Delgado
The Quantum Signature Validation Algorithm (QSVA) is introduced as a novel quantum-based approach designed to enhance the detection of tampered transactions in blockchain systems.…