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Among many submissions to the NIST post-quantum cryptography (PQC) project, NewHope is a promising key encapsulation mechanism (KEM) based on the Ring-Learning with errors (Ring-LWE) problem. Since NewHope is an indistinguishability…

Cryptography and Security · Computer Science 2020-03-09 Minki Song , Seunghwan Lee , Eunsang Lee , Dong-Joon Shin , Young-Sik Kim , Jong-Seon No

Several cryptosystems based on the \emph{Ring Learning with Errors} (RLWE) problem have been proposed within the NIST post-quantum cryptography standardization process, e.g., NewHope. Furthermore, there are systems like Kyber which are…

Information Theory · Computer Science 2022-11-28 Georg Maringer , Sven Puchinger , Antonia Wachter-Zeh

In 2009, Gentry proposed the first Fully Homomorphic Encryption (FHE) scheme, an extremely powerful cryptographic primitive that enables to perform computations, i.e., to evaluate circuits, on encrypted data without decrypting them first.…

Data Structures and Algorithms · Computer Science 2016-08-17 Fabrice Benhamouda , Tancrède Lepoint , Claire Mathieu , Hang Zhou

Fully Homomorphic Encryption (FHE) allows for the execution of computations on encrypted data without the need to decrypt it first, offering significant potential for privacy-preserving computational operations. Emerging arithmetic-based…

Cryptography and Security · Computer Science 2024-07-11 Ardhi Wiratama Baskara Yudha , Jiaqi Xue , Qian Lou , Huiyang Zhou , Yan Solihin

When neural networks (NeuralNets) are implemented in hardware, their weights need to be stored in memory devices. As noise accumulates in the stored weights, the NeuralNet's performance will degrade. This paper studies how to use error…

Information Theory · Computer Science 2020-01-14 Kunping Huang , Paul Siegel , Anxiao , Jiang

The evolution of quantum computers poses a serious threat to contemporary public-key encryption (PKE) schemes. To address this impending issue, the National Institute of Standards and Technology (NIST) is currently undertaking the…

Cryptography and Security · Computer Science 2022-07-15 Mohammad Reza Nosouhi , Syed W. Shah , Lei Pan , Yevhen Zolotavkin , Ashish Nanda , Praveen Gauravaram , Robin Doss

With the ubiquitous deployment of web services, ensuring data confidentiality has become a challenging imperative. Fully Homomorphic Encryption (FHE) presents a powerful solution for processing encrypted data; however, its widespread…

Cryptography and Security · Computer Science 2026-05-11 Baigang Chen , Dongfang Zhao

The Brakerski-Gentry-Vaikuntanathan (BGV) scheme is one of the most significant fully homomorphic encryption (FHE) schemes. It belongs to a class of FHE schemes whose security is based on the presumed intractability of the Learning with…

Cryptography and Security · Computer Science 2026-03-06 Beatrice Biasioli , Chiara Marcolla , Nadir Murru , Matilda Urani

Ring Learning With Error (RLWE) algorithm is used in Post Quantum Cryptography (PQC) and Homomorphic Encryption (HE) algorithm. The existing classical crypto algorithms may be broken in quantum computers. The adversaries can store all…

Cryptography and Security · Computer Science 2024-05-15 Paresh Baidya , Swagata Mondal , Rourab Paul

Near-term quantum computers must protect fragile coherence against decoherence to deliver useful results. Catalytic quantum error correction (CQEC) addresses this challenge by amplifying residual coherence with a reusable catalyst,…

Quantum Physics · Physics 2026-05-11 Hikaru Wakaura

Homomorphic encryption (HE) enables computations directly on encrypted data, offering strong cryptographic guarantees for secure and privacy-preserving data storage and query execution. However, despite its theoretical power, practical…

Databases · Computer Science 2026-03-02 Boram Jung , Yuliang Li , Hung-Wei Tseng

The promise of quantum computing is closer to reality today than ever before, thanks to rapid progress in the development of quantum hardware. Even as qubit lifetimes and gate fidelities continue to improve, realizing robust, fault-tolerant…

Quantum Physics · Physics 2026-04-02 Vismay Joshi , Anubhab Rudra , Sourav Dutta , Siddharth Dhomkar , Prabha Mandayam

Quantum fully homomorphic encryption (QFHE) promises secure delegated quantum computation but has been impeded by the prohibitive quantum resource demands of existing constructions. This paper introduces a unified framework that achieves an…

Quantum Physics · Physics 2026-04-28 Fengxia Liu , Zixian Gong , Kun Tian , Yi Zhang , Zhiming Zheng , Maozhi Xu

Quantum kernel methods are promising for near-term quantum ma- chine learning, yet their behavior under data corruption remains insuf- ficiently understood. We analyze how quantum feature constructions degrade under controlled additive…

Machine Learning · Computer Science 2026-02-24 Pablo Herrero Gómez , Antonio Jimeno Morenilla , David Muñoz-Hernández , Higinio Mora Mora

Fully Homomorphic Encryption (FHE) allows arbitrarily complex computations on encrypted data without ever needing to decrypt it, thus enabling us to maintain data privacy on third-party systems. Unfortunately, sustaining deep computations…

Cryptography and Security · Computer Science 2021-12-16 Leo de Castro , Rashmi Agrawal , Rabia Yazicigil , Anantha Chandrakasan , Vinod Vaikuntanathan , Chiraag Juvekar , Ajay Joshi

Steane code is one of the most widely studied quantum error-correction codes, which is a natural choice for fault-tolerant quantum computation (FTQC). However, the original Steane code is not fault-tolerant because the CNOT gates in an…

Quantum Physics · Physics 2024-03-08 Qiqing Xia , Huiqin Xie , Li Yang

This paper investigates quantum error correction schemes for fully-correlated noise channels on an $n$-qubit system, where error operators take the form $W^{\otimes n}$, with $W$ being an arbitrary $2\times 2$ unitary operator. In previous…

Quantum Physics · Physics 2023-03-30 Chi-Kwong Li , Yuqiao Li , Diane Christine Pelejo , Sage Stanish

The integration of quantum error correction codes and homomorphic encryption schemes is essential for achieving fault-tolerant secure cloud quantum computing. However, owing to the significant overheads associated with these schemes, their…

Quantum Physics · Physics 2025-02-21 IlKwon Sohn , Boseon Kim , Kwangil Bae , Wonhyuk Lee

This study examines the use of nonsystematic channel codes to obtain secure transmissions over the additive white Gaussian noise (AWGN) wire-tap channel. Unlike the previous approaches, we propose to implement nonsystematic coded…

Information Theory · Computer Science 2013-08-30 Marco Baldi , Marco Bianchi , Franco Chiaraluce

Computation on ciphertexts of all known fully homomorphic encryption (FHE) schemes induces some noise, which, if too large, will destroy the plaintext. Therefore, the bootstrapping technique that re-encrypts a ciphertext and reduces the…

Cryptography and Security · Computer Science 2021-09-08 Kamil Kluczniak , Leonard Schild
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