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Fully homomorphic encryption (FHE) enables computation on encrypted data without decryption, making it central to privacy-preserving applications. However, no existing scheme efficiently supports both arithmetic and comparison operations in…

Cryptography and Security · Computer Science 2026-04-23 Erwin Eko Wahyudi , Yan Solihin , Qian Lou

Methods of quantum mechanics promise information-theoretic security for various protocols in cryptography. However, impossibility of some cryptographic applications such as standard bit commitment, oblivious transfer, multiparty secure…

Quantum Physics · Physics 2015-08-03 Muhammad Nadeem

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

Fully homomorphic encryption (FHE) enables a simple, attractive framework for secure search. Compared to other secure search systems, no costly setup procedure is necessary; it is sufficient for the client merely to upload the encrypted…

Cryptography and Security · Computer Science 2021-09-17 Seung Geol Choi , Dana Dachman-Soled , S. Dov Gordon , Linsheng Liu , Arkady Yerukhimovich

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

The trend towards delegating data processing to a remote party raises major concerns related to privacy violations for both end-users and service providers. These concerns have attracted the attention of the research community, and several…

Cryptography and Security · Computer Science 2015-12-15 Youssef Gahi , Mouhcine Guennoun , Zouhair Guennoun , Khalil El-khatib

Secure function evaluation (SFE) is the process of computing a function (or running an algorithm) on some data, while keeping the input, output and intermediate results hidden from the environment in which the function is evaluated. This…

Cryptography and Security · Computer Science 2013-12-12 Stefan Rass

We present an efficient quantum circuit for block encoding pairing Hamiltonian often studied in nuclear physics. Our block encoding scheme does not require mapping the creation and annihilation operators to the Pauli operators and…

Nuclear Theory · Physics 2024-02-22 Diyi Liu , Weijie Du , Lin Lin , James P. Vary , Chao Yang

We prove that constant-depth quantum circuits are more powerful than their classical counterparts. To this end we introduce a non-oracular version of the Bernstein-Vazirani problem which we call the 2D Hidden Linear Function problem. An…

Quantum Physics · Physics 2018-10-23 Sergey Bravyi , David Gosset , Robert Koenig

We propose a new homomorphic encryption scheme based on the hardness of decoding under independent random noise from certain affine families of codes. Unlike in previous lattice-based homomorphic encryption schemes, where the message is…

Cryptography and Security · Computer Science 2011-11-21 Andrej Bogdanov , Chin Ho Lee

We propose a scheme to restore spatial symmetry of Hamiltonian in the variational-quantum-eigensolver (VQE) algorithm for which the quantum circuit structures used usually break the Hamiltonian symmetry. The symmetry-adapted VQE scheme…

Quantum Physics · Physics 2020-06-01 Kazuhiro Seki , Tomonori Shirakawa , Seiji Yunoki

This article presents the application of homomorphic authenticators, replication encodings to be precise, to multigroup fully homomorphic encryption schemes. Following the works of Gennaro and Wichs on homomorphic authenticators in…

Cryptography and Security · Computer Science 2023-03-16 Ramsès Fernàndez-València

We study the problem of learning an unknown graph provided via an oracle using a quantum algorithm. We consider three query models. In the first model ("OR queries"), the oracle returns whether a given subset of the vertices contains any…

Quantum Physics · Physics 2021-01-26 Ashley Montanaro , Changpeng Shao

Privacy has gained a growing interest nowadays due to the increasing and unmanageable amount of produced confidential data. Concerns about the possibility of sharing data with third parties, to gain fruitful insights, beset enterprise…

Cryptography and Security · Computer Science 2020-11-16 Michela Iezzi

The variational quantum eigensolver (VQE) is one of the most appealing quantum algorithms to simulate electronic structure properties of molecules on near-term noisy intermediate-scale quantum devices. In this work, we generalize the VQE…

Quantum Physics · Physics 2022-06-09 Jie Liu , Lingyun Wan , Zhenyu Li , Jinlong Yang

With the development of machine learning, it is difficult for a single server to process all the data. So machine learning tasks need to be spread across multiple servers, turning the centralized machine learning into a distributed one.…

Cryptography and Security · Computer Science 2022-05-13 Zoe L. Jiang , Jiajing Gu , Hongxiao Wang , Yulin Wu , Junbin Fang , Siu-Ming Yiu , Wenjian Luo , Xuan Wang

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

This is a summarized follow up of the unconditional security and quadratic time O(n^2) efficiency of ZK111.

Cryptography and Security · Computer Science 2012-10-19 Zaryab Khan

ZK111 is a fully homomorphic public key encryption algorithm which runs in quadratic time. It's security solely relies upon a very unique 'color-blind' function which is used to create p-adic ring homomorphism.

Cryptography and Security · Computer Science 2012-09-28 Zaryab Khan

Quantum block encoding (QBE) is a crucial step in the development of most quantum algorithms, as it provides an embedding of a given matrix into a suitable larger unitary matrix. Historically, the development of efficient techniques for QBE…

Quantum Physics · Physics 2026-03-20 Giacomo Antonioli , Paola Boito , Gianna M. Del Corso , Margherita Porcelli