Demonstrating Quantum Homomorphic Encryption Through Simulation

TL;DR

This paper presents a software simulation demonstrating quantum homomorphic encryption based on the EPR scheme, showing its feasibility and providing an open-source toolkit for future quantum network applications.

Contribution

It offers the first simulation-based demonstration of QHE using the EPR scheme for universal quantum circuits, highlighting its near-term viability.

Findings

Homomorphic circuit evaluation incurs minor additional costs

Simulation confirms scheme's practicality for quantum cloud computing

Open-source toolkit facilitates further research and development

Abstract

Quantum homomorphic encryption (QHE), allows a quantum cloud server to compute on private data as uploaded by a client. We provide a proof-of-concept software simulation for QHE, according to the "EPR" scheme of Broadbent and Jeffery, for universal quantum circuits. We demonstrate the near-term viability of this scheme and provide verification that the additional cost of homomorphic circuit evaluation is minor when compared to the simulation cost of the quantum operations. Our simulation toolkit is an open-source Python implementation, that serves as a step towards further hardware applications of quantum homomorphic encryption between networked quantum devices.