2026-06-07T11:23:48Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/1371642026-06-03T23:56:16Zcom_20.500.14352_14col_20.500.14352_15
Homomorphic encryption of the k=2 Bernstein–Vazirani algorithm
Fernández Ortiz, Pablo
Martín-Delgado Alcántara, Miguel Ángel
53
530.145
004
Quantum information
Quantum computation
Quantum communication
Homomorphic encryption
Física (Física)
Teoría de los quanta
Informática (Informática)
2212 Física Teórica
2210.23 Teoría Cuántica
1203.17 Informática
©2024 The Author(s).
W911NF-14-1-0103,
PRE2019-090517
We introduce a class of circuits that solve a particular case of the Bernstein-Vazirani recursive problem for second-level recursion. This class of circuits allows for the implementation of the oracle using a number of T-gates that grows linearly with the number of qubits in the problem. We find an application of this scheme to quantum homomorphic encryption (QHE), which is an important cryptographic technology useful for delegated quantum computing, allowing a remote server to perform quantum computations on encrypted quantum data, so that the server cannot know anything about the client's data. Liang's QHE schemes are suitable for circuits with a polynomial number of gates T/T† dagger. Thus, the simplified circuits we have constructed can be evaluated homomorphically in an efficient manner.
Ministerio de Ciencia, Innovación y Universidades (España)
Agencia Estatal de Investigación (España)
European Commission
Comunidad de Madrid
Ministerio de Economía y Competividad (España)
Army Research Office (US)
Depto. de Física Teórica
Fac. de Ciencias Físicas
TRUE
pub
2026-06-03T18:33:24Z
2026-06-03T18:33:24Z
2024-08-22
journal article
VoR
https://hdl.handle.net/20.500.14352/137164
1751-8113
10.1088/1751-8121/ad6c04
1751-8121
eng
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2021-122547NB-I00/ES/TECNOLOGIAS CLAVE PARA COMPUTACION CUANTICA/
MaDQuantum-CM
S2018/TCS-4342
Pablo Fernández and Miguel A Martin-Delgado 2024 J. Phys. A: Math. Theor. 57 365301
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
open access
application/pdf
application/pdf
IOP Publishing