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The nonrecursive Bernstein-Vazirani algorithm was the first quantum algorithm to show a superpolynomial improvement over the corresponding best classical algorithm. Here we define a class of circuits that solve a particular case of this…

Quantum Physics · Physics 2023-04-03 Pablo Fernández , Miguel A. Martin-Delgado

Modern face recognition systems utilize deep neural networks to extract salient features from a face. These features denote embeddings in latent space and are often stored as templates in a face recognition system. These embeddings are…

Cryptography and Security · Computer Science 2024-04-26 Bharat Yalavarthi , Arjun Ramesh Kaushik , Arun Ross , Vishnu Boddeti , Nalini Ratha

Homomorphic encryption (HE) is a promising technique used for privacy-preserving computation. Since HE schemes only support primitive polynomial operations, homomorphic evaluation of polynomial approximations for non-polynomial functions…

Cryptography and Security · Computer Science 2024-05-27 John Chiang

Quantum homomorphic encryption (QHE) is an encryption method that allows quantum computation to be performed on one party's private data with the program provided by another party, without revealing much information about the data nor about…

Quantum Physics · Physics 2019-08-02 Li Yu

Fully homomorphic encryption allows the evaluation of arbitrary functions on encrypted data. It can be leveraged to secure outsourced and multiparty computation. TFHE is a fast torus-based fully homomorphic encryption scheme that allows…

Cryptography and Security · Computer Science 2025-12-29 Valentin Reyes Häusler , Gabriel Ott , Aruna Jayasena , Andreas Peter

Privacy-preserving neural network (NN) inference can be achieved by utilizing homomorphic encryption (HE), which allows computations to be directly carried out over ciphertexts. Popular HE schemes are built over large polynomial rings. To…

Cryptography and Security · Computer Science 2025-08-15 Sajjad Akherati , Xinmiao Zhang

Large language models (LLMs) power modern AI applications, but processing sensitive data on untrusted servers raises privacy concerns. Homomorphic encryption (HE) enables computation on encrypted data for secure inference. However, neural…

Machine Learning · Computer Science 2025-11-19 Matan Avitan , Moran Baruch , Nir Drucker , Itamar Zimerman , Yoav Goldberg

A Homomorphic Secret Sharing (HSS) scheme is a secret-sharing scheme that shares a secret $x$ among $s$ servers, and additionally allows an output client to reconstruct some function $f(x)$, using information that can be locally computed by…

Information Theory · Computer Science 2023-11-28 Keller Blackwell , Mary Wootters

While many hardware accelerators have recently been proposed to address the inefficiency problem of fully homomorphic encryption (FHE) schemes, none of them is able to deliver optimal performance when facing real-world FHE workloads…

Hardware Architecture · Computer Science 2025-01-31 Junxue Zhang , Xiaodian Cheng , Gang Cao , Meng Dai , Yijun Sun , Han Tian , Dian Shen , Yong Wang , Kai Chen

With the rapid advancement of AI technology, we have seen more and more concerns on data privacy, leading to some cutting-edge research on machine learning with encrypted computation. Fully Homomorphic Encryption (FHE) is a crucial…

Cryptography and Security · Computer Science 2026-03-31 Longfei Guo , Pengbo Li , Ting Gao , Yonghai Zhong , Haojie Fan , Jinqiao Duan

Privacy-preserving deep neural network (DNN) inference is a necessity in different regulated industries such as healthcare, finance and retail. Recently, homomorphic encryption (HE) has been used as a method to enable analytics while…

Cryptography and Security · Computer Science 2023-06-13 Moran Baruch , Nir Drucker , Lev Greenberg , Guy Moshkowich

Homomorphic encryption is one of the representative solutions to privacy-preserving machine learning (PPML) classification enabling the server to classify private data of clients while guaranteeing privacy. This work focuses on PPML using…

Cryptography and Security · Computer Science 2021-06-15 Junghyun Lee , Eunsang Lee , Joon-Woo Lee , Yongjune Kim , Young-Sik Kim , Jong-Seon No

Fully Homomorphic Encryption (FHE) is one of the most promising technologies for privacy protection as it allows an arbitrary number of function computations over encrypted data. However, the computational cost of these FHE systems limits…

Cryptography and Security · Computer Science 2020-05-06 Toufique Morshed , Md Momin Al Aziz , Noman Mohammed

Fully-Homomorphic Encryption (FHE) offers powerful capabilities by enabling secure offloading of both storage and computation, and recent innovations in schemes and implementations have made it all the more attractive. At the same time, FHE…

Cryptography and Security · Computer Science 2020-06-29 Roshan Dathathri , Blagovesta Kostova , Olli Saarikivi , Wei Dai , Kim Laine , Madanlal Musuvathi

We give upper bounds for the solving degree and the last fall degree of the polynomial system associated to the HFE (Hidden Field Equations) cryptosystem. Our bounds improve the known bounds for this type of systems. We also present new…

Cryptography and Security · Computer Science 2020-11-03 Elisa Gorla , Daniela Mueller , Christophe Petit

We study homomorphism polynomials, which are polynomials that enumerate all homomorphisms from a pattern graph $H$ to $n$-vertex graphs. These polynomials have received a lot of attention recently for their crucial role in several new…

Computational Complexity · Computer Science 2020-11-17 Balagopal Komarath , Anurag Pandey , C. S. Rahul

For the feature selection problem, we propose an efficient privacy-preserving algorithm. Let $D$, $F$, and $C$ be data, feature, and class sets, respectively, where the feature value $x(F_i)$ and the class label $x(C)$ are given for each…

Cryptography and Security · Computer Science 2023-03-02 Shinji Ono , Jun Takata , Masaharu Kataoka , Tomohiro I , Kilho Shin , Hiroshi Sakamoto

Graph Neural Networks (GNNs) have achieved state-of-the-art performance in various graph-based learning tasks. However, enabling privacy-preserving GNNs in encrypted domains, such as under Fully Homomorphic Encryption (FHE), typically…

Cryptography and Security · Computer Science 2025-07-15 Kaixiang Zhao , Joseph Yousry Attalla , Qian Lou , Yushun Dong

Secure inference of deep convolutional neural networks (CNNs) under RNS-CKKS involves polynomial approximation of unsupported non-linear activation functions. However, existing approaches have three main limitations: 1) Inflexibility: The…

Machine Learning · Computer Science 2023-10-13 Wei Ao , Vishnu Naresh Boddeti

This paper explores the use of partially homomorphic encryption (PHE) for encrypted vector similarity search, with a focus on facial recognition and broader applications like reverse image search, recommendation engines, and large language…

Cryptography and Security · Computer Science 2025-03-11 Sefik Serengil , Alper Ozpinar