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Fully-homomorphic encryption (FHE) enables computation on encrypted data while maintaining secrecy. Recent research has shown that such schemes exist even for quantum computation. Given the numerous applications of classical FHE…

Quantum Physics · Physics 2018-02-27 Gorjan Alagic , Yfke Dulek , Christian Schaffner , Florian Speelman

Brakerski showed that linearly decryptable fully homomorphic encryption (FHE) schemes cannot be secure in the chosen plaintext attack (CPA) model. In this paper, we show that linearly decryptable FHE schemes cannot be secure even in the…

Cryptography and Security · Computer Science 2019-06-07 Yongge Wang

In this paper, a secure Convolutional Neural Network classifier is proposed using Fully Homomorphic Encryption (FHE). The secure classifier provides a user with the ability to out-source the computations to a powerful cloud server and/or…

Cryptography and Security · Computer Science 2018-08-14 Thomas Shortell , Ali Shokoufandeh

We propose a framework for compile-time ciphertext synthesis in fully homomorphic encryption (FHE) systems, where ciphertexts are constructed from precomputed encrypted basis vectors combined with a runtime-scaled encryption of zero. This…

Cryptography and Security · Computer Science 2025-05-23 Dongfang Zhao

Performing smart computations in a context of cloud computing and big data is highly appreciated today. Fully homomorphic encryption (FHE) is a smart category of encryption schemes that allows working with the data in its encrypted form. It…

Cryptography and Security · Computer Science 2018-04-20 Ahmed El-Yahyaoui , Mohamed Dafir Ech-Chrif El Kettani

Suppose some data have been encrypted, can you compute with the data without decrypting them? This problem has been studied as homomorphic encryption and blind computing. We consider this problem in the context of quantum information…

Quantum Physics · Physics 2014-08-26 Min Liang

Quantum fully homomorphic encryption (QFHE) allows to evaluate quantum circuits on encrypted data. We present a novel QFHE scheme, which extends Pauli one-time pad encryption by relying on the quaternion representation of SU(2). With the…

Quantum Physics · Physics 2022-12-07 Guangsheng Ma , Hongbo Li

Quantum information has the property that measurement is an inherently destructive process. This feature is most apparent in the principle of complementarity, which states that mutually incompatible observables cannot be measured at the…

Quantum Physics · Physics 2023-01-10 Alexander Poremba

Fully homomorphic encryption (FHE) is a powerful encryption technique that allows for computation to be performed on ciphertext without the need for decryption. FHE will thus enable privacy-preserving computation and a wide range of…

Cryptography and Security · Computer Science 2023-03-17 Qian Lou , Muhammad Santriaji , Ardhi Wiratama Baskara Yudha , Jiaqi Xue , Yan Solihin

Inspired by the concept of fault tolerance quantum computation, this article proposes a framework dubbed Exact Homomorphic Encryption, EHE, enabling exact computations on encrypted data without the need for pre-decryption. The introduction…

Quantum Physics · Physics 2024-05-10 Zheng-Yao Su , Ming-Chung Tsai

Fully Homomorphic Encryption (FHE) represents a paradigm shift in cryptography, enabling computation directly on encrypted data and unlocking privacy-critical computation. Despite being increasingly deployed in real platforms, the…

Cryptography and Security · Computer Science 2025-09-26 Rian Adam Rajagede , Yan Solihin

Homomorphic Encryption (HE) allows secure and privacy-protected computation on encrypted data without the need to decrypt it. Since Shor's algorithm rendered prime factorisation and discrete logarithm-based ciphers insecure with quantum…

Cryptography and Security · Computer Science 2025-04-24 Siddhartha Siddhiprada Bhoi , Arathi Arakala , Amy Beth Corman , Asha Rao

Homomorphic encryption is an encryption scheme that allows computations to be evaluated on encrypted inputs without knowledge of their raw messages. Recently Ouyang et al. constructed a quantum homomorphic encryption (QHE) scheme for…

Quantum Physics · Physics 2019-04-29 Ching-Yi Lai , Kai-Min Chung

Data privacy is a significant concern when using numerical simulations for sensitive information such as medical, financial, or engineering data -- especially in untrusted environments like public cloud infrastructures. Fully homomorphic…

Numerical Analysis · Mathematics 2025-09-25 Arseniy Kholod , Yuriy Polyakov , Michael Schlottke-Lakemper

We suggest using Fully Homomorphic Encryption (FHE) to be used, not only to keep the privacy of information but also, to verify computations with no additional significant overhead, using only part of the variables length for verification.…

Cryptography and Security · Computer Science 2021-05-06 Shlomi Dolev , Arseni Kalma

Verifiable Homomorphic Encryption (VHE) is a cryptographic technique that integrates Homomorphic Encryption (HE) with Verifiable Computation (VC). It serves as a crucial technology for ensuring both privacy and integrity in outsourced…

Cryptography and Security · Computer Science 2025-10-14 Jung Hee Cheon , Daehyun Jang

A fully homomorphic encryption system hides data from unauthorized parties, while still allowing them to perform computations on the encrypted data. Aside from the straightforward benefit of allowing users to delegate computations to a more…

Fully Homomorphic Encryption (FHE) allows a third party to perform arbitrary computations on encrypted data, learning neither the inputs nor the computation results. Hence, it provides resilience in situations where computations are carried…

Cryptography and Security · Computer Science 2022-02-04 Alexander Viand , Patrick Jattke , Anwar Hithnawi

As quantum computing matures into a practical paradigm, the need for secure and private quantum computation on untrusted hardware becomes increasingly urgent. While classical fully homomorphic encryption has enabled computation over…

Quantum Physics · Physics 2026-04-22 Jon Hernández-Bueno , Oscar Lage , Marivi Higuero , Jasone Astorga

Fully homomorphic encryption (FHE) allows an untrusted party to evaluate arithmetic cir- cuits, i.e., perform additions and multiplications on encrypted data, without having the decryp- tion key. One of the most efficient class of FHE…

Data Structures and Algorithms · Computer Science 2017-11-20 Hao Chen
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