Quantum Homomorphic Encryption for Polynomial-Sized Circuits

Overview

This presentation delves into the advanced field of Quantum Homomorphic Encryption (QHE), exploring its theoretical underpinnings and practical considerations. It builds upon the foundation of classical homomorphic encryption, examining how computations can be performed on encrypted quantum data.

The document covers the evolution of QHE, including the Clifford Scheme, and discusses inherent challenges such as the T-gate. It also connects QHE concepts to computational complexity theory through Barrington's Theorem and introduces a novel QHE scheme.

Further details can be found in the associated research: http://arxiv.org/abs/1603.09717

Key Topics Explored

Principles of Quantum Homomorphic Encryption
Comparison with Classical Homomorphic Encryption
The Clifford Scheme and its limitations
Addressing challenges with quantum gates (e.g., T-gate)
Barrington's Theorem and its implications for QHE complexity
Introduction to a new QHE scheme
Potential applications and future research directions

Context

This presentation was delivered by Florian Speelman, with joint work from Yfke Dulek and Christian Schaffner, at QIP 2017 in Seattle, Washington, on January 16, 2017. It features contributions from institutions like CWI and the University of Copenhagen.

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Overview

Key Topics Explored

Context

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