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At present, in the face of the huge and complex data in cloud computing, the parallel computing ability of quantum computing is particularly important. Quantum principal component analysis algorithm is used as a method of quantum state…

Quantum Physics · Physics 2020-11-25 Changqing Gong , Zhaoyang Dong , Abdullah Gani , Han Qi

We apply quantum homomorphic encryption (QHE) schemes suitable for circuits with a polynomial number of $T/T^{\dagger}$-gates to Grover's algorithm, performing a simulation in Qiskit of a Grover circuit that contains 3 qubits. The…

Quantum Physics · Physics 2024-03-11 Pablo Fernández , Miguel A. Martin-Delgado

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

Variational quantum algorithms (VQAs) are considered as one of the most promising candidates for achieving quantum advantages on quantum devices in the noisy intermediate-scale quantum (NISQ) era. They have been developed for numerous…

Quantum Physics · Physics 2023-01-26 Qin Li , Junyu Quan , Jinjing Shi , Shichao Zhang , Xuelong Li

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

Quantum homomorphic encryption integrates quantum computing with homomorphic encryption, which allows calculations to be performed directly on encrypted data without decryption on the server side. In this paper, we explore distributed…

Quantum Physics · Physics 2025-02-27 Haoyun Zhang , Yu-Ting Lei , Xing-bo Pan

Privacy-preserving machine learning has become an important long-term pursuit in this era of artificial intelligence (AI). Fully Homomorphic Encryption (FHE) is a uniquely promising solution, offering provable privacy and security…

Cryptography and Security · Computer Science 2026-03-30 Cory Brynds , Parker McLeod , Lauren Caccamise , Asmita Pal , Dewan Saiham , Sazadur Rahman , Joshua San Miguel , Di Wu

Private set intersection (PSI) and private set union (PSU) are the crucial primitives in secure multiparty computation protocols, which enable several participants to jointly compute the intersection and union of their private sets without…

Quantum Physics · Physics 2024-12-03 Chong-Qiang Ye , Jian Li , Tianyu Ye , Xiaoyu Chen

Future quantum computers are likely to be expensive and affordable outright by few, motivating client/server models for outsourced computation. However, the applications for quantum computing will often involve sensitive data, and the…

Quantum Physics · Physics 2020-03-25 Yingkai Ouyang , Si-Hui Tan , Joseph Fitzsimons , Peter P. Rohde

Homomorphic encryption is a form of encryption which allows computation to be carried out on the encrypted data without the need for decryption. The success of quantum approaches to related tasks in a delegated computation setting has…

Quantum Physics · Physics 2014-11-19 Li Yu , Carlos A. Perez-Delgado , Joseph F. Fitzsimons

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

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

Traditional approaches to vector similarity search over encrypted data rely on fully homomorphic encryption (FHE) to enable computation without decryption. However, the substantial computational overhead of FHE makes it impractical for…

Cryptography and Security · Computer Science 2025-02-21 Dongfang Zhao

Privacy-preserving machine learning (PPML) is an emerging topic to handle secure machine learning inference over sensitive data in untrusted environments. Fully homomorphic encryption (FHE) enables computation directly on encrypted data on…

Cryptography and Security · Computer Science 2025-10-24 Yu Hin Chan , Hao Yang , Shiyu Shen , Xingyu Fan , Shengzhe Lyu , Patrick S. Y. Hung , Ray C. C. Cheung

Fully homomorphic encryption (FHE) is a technique that enables statistical processing and machine learning while protecting data, including sensitive information collected by single board computers (SBCs), on a cloud server. Among FHE…

Cryptography and Security · Computer Science 2025-04-29 Marin Matsumoto , Ai Nozaki , Hideki Takase , Masato Oguchi

Fully homomorphic encryption is an encryption method with the property that any computation on the plaintext can be performed by a party having access to the ciphertext only. Here, we formally define and give schemes for quantum homomorphic…

Quantum Physics · Physics 2016-01-11 Anne Broadbent , Stacey Jeffery

Recently, there are more and more organizations offering quantum-cloud services, where any client can access a quantum computer remotely through the internet. In the near future, these cloud servers may claim to offer quantum computing…

Quantum Physics · Physics 2021-05-20 Xi Chen , Bin Cheng , Zhaokai Li , Xinfang Nie , Nengkun Yu , Man-Hong Yung , Xinhua Peng

The migration of computation to the cloud has raised concerns regarding the security and privacy of sensitive data, as their need to be decrypted before processing, renders them susceptible to potential breaches. Fully Homomorphic…

Encryption schemes often derive their power from the properties of the underlying algebra on the symbols used. Inspired by group theoretic tools, we use the centralizer of a subgroup of operations to present a private-key quantum…

Quantum Physics · Physics 2020-02-21 Si-Hui Tan , Joshua A. Kettlewell , Yingkai Ouyang , Lin Chen , Joseph F. Fitzsimons

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