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We present a lattice-based scheme for homomorphic evaluation of quantum programs and proofs that remains secure against quantum adversaries. Classical homomorphic encryption is lifted to the quantum setting by replacing composite-order…

Quantum Physics · Physics 2025-05-01 Ben Goertzel

Fully Homomorphic Encryption~(FHE) is a key technology enabling privacy-preserving computing. However, the fundamental challenge of FHE is its inefficiency, due primarily to the underlying polynomial computations with high computation…

Cryptography and Security · Computer Science 2025-02-04 Junxue Zhang , Xiaodian Cheng , Liu Yang , Jinbin Hu , Ximeng Liu , Kai Chen

Transversality is a simple and effective method for implementing quantum computation fault-tolerantly. However, no quantum error-correcting code (QECC) can transversally implement a quantum universal gate set (Eastin and Knill, Phys. Rev.…

Quantum Physics · Physics 2018-09-10 Michael Newman , Yaoyun Shi

Fully Homomorphic Encryption (FHE) is a relatively recent advancement in the field of privacy-preserving technologies. FHE allows for the arbitrary depth computation of both addition and multiplication, and thus the application of…

Machine Learning · Computer Science 2021-07-29 George Onoufriou , Paul Mayfield , Georgios Leontidis

Fully Homomorphic Encryption (FHE) allows computing on encrypted data, enabling secure offloading of computation to untrusted serves. Though it provides ideal security, FHE is expensive when executed in software, 4 to 5 orders of magnitude…

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

We show a general method of compiling any $k$-prover non-local game into a single-prover interactive game maintaining the same (quantum) completeness and (classical) soundness guarantees (up to negligible additive factors in a security…

Quantum Physics · Physics 2022-03-31 Yael Kalai , Alex Lombardi , Vinod Vaikuntanathan , Lisa Yang

The present work builds on previous investigations of the authors (and their collaborators) regarding bridges, a certain type of morphisms between encryption schemes, making a step forward in developing a (category theory) language for…

Cryptography and Security · Computer Science 2023-05-29 Mugurel Barcau , Vicenţiu Paşol , George C. Ţurcaş

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

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

The seminal work by Impagliazzo and Rudich (STOC'89) demonstrated the impossibility of constructing classical public key encryption (PKE) from one-way functions (OWF) in a black-box manner. However, the question remains: can quantum PKE…

Quantum Physics · Physics 2024-05-31 Longcheng Li , Qian Li , Xingjian Li , Qipeng Liu

This study introduces a hybrid cryptographic framework for quantum communication that integrates entanglement-assisted decryption with phase-based physical obfuscation. While conventional quantum protocols often rely on explicit…

Quantum Physics · Physics 2025-07-09 Asgar Hosseinnezhad , Hadi Sabri

This paper presents TT-TFHE, a deep neural network Fully Homomorphic Encryption (FHE) framework that effectively scales Torus FHE (TFHE) usage to tabular and image datasets using a recent family of convolutional neural networks called…

Cryptography and Security · Computer Science 2025-07-09 Adrien Benamira , Tristan Guérand , Thomas Peyrin , Sayandeep Saha

Threshold fully homomorphic encryption (ThFHE) enables multiple parties to compute functions over their sensitive data without leaking data privacy. Most of existing ThFHE schemes are restricted to full threshold and require the…

Cryptography and Security · Computer Science 2025-01-22 Yijia Chang , Songze Li

Computational privacy is a property of cryptographic system that ensures the privacy of data being processed at an untrusted server. Fully Homomorphic Encryption Schemes (FHE) promise to provide such property. Contemporary FHE schemes are…

Cryptography and Security · Computer Science 2014-06-10 Sashank Dara

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

Functional encryption (FE) is a versatile paradigm that enables fine-grained access control over encrypted data. Despite its potential, achieving the gold standard of simulation-based security for FE is impossible in full generality. Known…

Cryptography and Security · Computer Science 2026-03-25 Mohammed Barhoush , Louis Salvail

Fully Homomorphic Encryption (FHE) enables the processing of encrypted data without decrypting it. FHE has garnered significant attention over the past decade as it supports secure outsourcing of data processing to remote cloud services.…

Machine learning on encrypted data can address the concerns related to privacy and legality of sharing sensitive data with untrustworthy service providers. Fully Homomorphic Encryption (FHE) is a promising technique to enable machine…

Cryptography and Security · Computer Science 2021-02-02 Nayna Jain , Karthik Nandakumar , Nalini Ratha , Sharath Pankanti , Uttam Kumar

Quantum cryptography leverages many unique features of quantum information in order to construct cryptographic primitives that are oftentimes impossible classically. In this work, we build on the no-cloning principle of quantum mechanics…

Quantum Physics · Physics 2023-10-13 Prabhanjan Ananth , Alexander Poremba , Vinod Vaikuntanathan