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In recent years, although some homomorphic encryption algorithms have been proposed to provide additive homomorphic encryption and multiplicative homomorphic encryption. However, similarity measures are required for searches and queries…

Cryptography and Security · Computer Science 2024-06-21 Abel C. H. Chen

The problem of discriminating between many quantum channels with certainty is analyzed under the assumption of prior knowledge of algebraic relations among possible channels. It is shown, by explicit construction of a novel family of…

Quantum Physics · Physics 2021-08-04 Zane M. Rossi , Isaac L. Chuang

We present quantum circuits to implement an exhaustive key search for the Advanced Encryption Standard (AES) and analyze the quantum resources required to carry out such an attack. We consider the overall circuit size, the number of qubits,…

Quantum Physics · Physics 2015-12-17 Markus Grassl , Brandon Langenberg , Martin Roetteler , Rainer Steinwandt

(Abridged abstract.) In this thesis we introduce new models of quantum computation to study the emergence of quantum speed-up in quantum computer algorithms. Our first contribution is a formalism of restricted quantum operations, named…

Quantum Physics · Physics 2016-11-29 Juan Bermejo-Vega

We propose a quantum k-means algorithm based on quantum cloud computing that effectively solves the problem that the client can not afford to execute the same quantum subroutine repeatedly in the face of large training samples. In the…

Quantum Physics · Physics 2020-11-10 Changqing Gong , Zhaoyang Dong , Abdullah Gani , Han Qi

As quantum devices scale up, many-body quantum gates and algorithms begin to surpass what is possible to simulate classically. Validation methods which rely on such classical simulation, such as process tomography and randomized…

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) refers to a set of encryption schemes that allow computations to be applied directly on encrypted data without requiring a secret key. This enables novel application scenarios where a client can safely…

Machine Learning · Computer Science 2018-10-02 Roshan Dathathri , Olli Saarikivi , Hao Chen , Kim Laine , Kristin Lauter , Saeed Maleki , Madanlal Musuvathi , Todd Mytkowicz

We present GRAFHEN, a new cryptographic scheme which offers Fully Homomorphic Encryption without the need for bootstrapping (or in other words, without noise). Building on the work of Nuida and others, we achieve this using encodings in…

Cryptography and Security · Computer Science 2025-10-27 Pierre Guillot , Auguste Hoang Duc , Michel Koskas , Florian Méhats

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

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

The rapid advancement of quantum hardware necessitates the development of reliable methods to certify its correct functioning. However, existing certification tests fall short, as they either suffer from systematic errors or do not…

Quantum Physics · Physics 2025-08-13 Jan Nöller , Nikolai Miklin , Martin Kliesch , Mariami Gachechiladze

Quantum cryptography exploits principles of quantum physics for the secure processing of information. A prominent example is secure communication, i.e., the task of transmitting confidential messages from one location to another. The…

Quantum Physics · Physics 2022-07-13 Christopher Portmann , Renato Renner

High-fidelity quantum gates are essential for large-scale quantum computation, which can naturally be realized in a noise-resilient way. Geometric manipulation and decoherence-free subspace encoding are promising ways toward robust quantum…

Quantum Physics · Physics 2019-08-20 Zhennan Zhu , Tao Chen , Xiaodong Yang , Ji Bian , Zheng-Yuan Xue , Xinhua Peng

Cloud computing is the broad and diverse phenomenon. Users are allowed to store huge amount of data on cloud storage for future use. Most of the cloud service providers store data in plain text format or in secured manner but client will…

Cryptography and Security · Computer Science 2022-02-02 Fahina , Shwetha U , Poorna , Supriya , Rama Moorthy H , Dr. Vasudeva

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

The widespread deployment of products powered by machine learning models is raising concerns around data privacy and information security worldwide. To address this issue, Federated Learning was first proposed as a privacy-preserving…

Von Neumann's classic "multiplexing" method is unique in achieving high-threshold fault-tolerant classical computation (FTCC), but has several significant barriers to implementation: i) the extremely complex circuits required by randomized…

Quantum Physics · Physics 2017-07-25 Benjamin Cruikshank , Kurt Jacobs

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

While implementing a quantum algorithm it is crucial to reduce the quantum resources, in order to obtain the desired computational advantage. For most fault-tolerant quantum error-correcting codes the cost of implementing the non-Clifford…

Quantum Physics · Physics 2023-02-10 Vlad Gheorghiu , Michele Mosca , Priyanka Mukhopadhyay