Title
Quantum homomorphic encryption for polynomial-sized circuits.
Abstract
We present a new scheme for quantum homomorphic encryption which is compact and allows for efficient evaluation of arbitrary polynomial-sized quantum circuits. Building on the framework of Broadbent and Jeffery [BJ15] and recent results in the area of instantaneous non-local quantum computation [Spe15], we show how to construct quantum gadgets that allow perfect correction of the errors which occur during the homomorphic evaluation of inverted perpendicular gates on encrypted quantum data. Our scheme can be based on any classical (leveled) fully homomorphic encryption (FHE) scheme and requires no computational assumptions besides those already used by the classical scheme. The size of our quantum gadget depends on the space complexity of the classical decryption function - which aligns well with the current efforts to minimize the complexity of the decryption function. Our scheme (or slight variants of it) offers a number of additional advantages such as ideal compactness, the ability to supply gadgets "on demand", and circuit privacy for the evaluator against passive adversaries.
Year
DOI
Venue
2016
10.1007/978-3-662-53015-3_1
ADVANCES IN CRYPTOLOGY (CRYPTO 2016), PT III
Keywords
DocType
Volume
Homomorphic encryption,Quantum cryptography,Quantum teleportation,Garden-hose model
Journal
9816
ISSN
Citations 
PageRank 
0302-9743
10
0.59
References 
Authors
33
3
Name
Order
Citations
PageRank
Yfke Dulek1100.59
Christian Schaffner245727.39
Florian Speelman3445.61