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We develop a generalized framework for invariant-based cryptography by extending the use of structural identities as core cryptographic mechanisms. Starting from a previously introduced scheme where a secret is encoded via a four-point…

Cryptography and Security · Computer Science 2025-05-14 Stanislav Semenov

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) 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

Encrypted control has been introduced to protect controller data by encryption at the stage of computation and communication, by performing the computation directly on encrypted data. In this article, we first review and categorize recent…

Cryptography and Security · Computer Science 2022-10-12 Junsoo Kim , Dongwoo Kim , Yongsoo Song , Hyungbo Shim , Henrik Sandberg , Karl H. Johansson

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

In this note, we consider the setting of uncloneable encryption satisfying uncloneable indistinguishability, a form of symmetric key encryption that prevents the cloning of ciphertexts in a very strong sense. Our goal is to minimize the…

Cryptography and Security · Computer Science 2026-05-28 James Bartusek , Eli Goldin

Cloud computing is a popular distributed network and utility model based technology. Since in cloud the data is outsourced to third parties, the protection of confidentiality and privacy of user data becomes important. Different methods for…

Cryptography and Security · Computer Science 2015-05-14 B. T. Prasanna , C. B. Akki

This paper considers the use of fully homomorphic encryption for the realisation of distributed formation control of multi-agent systems via edge computer. In our proposed framework, the distributed control computation in the edge computer…

Systems and Control · Electrical Eng. & Systems 2021-10-08 Mariano Perez Chaher , Bayu Jayawardhana , Junsoo Kim

In this paper, we study groups of automorphisms of algebraic systems over a set of $p$-adic integers with different sets of arithmetic and coordinate-wise logical operations and congruence relations modulo $p^k,$ $k\ge 1.$ The main result…

Number Theory · Mathematics 2018-06-01 Ekaterina Yurova Axelsson , Andrei Khrennikov

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

Quantum-mechanical devices have the potential to transform cryptography. Most research in this area has focused either on the information-theoretic advantages of quantum protocols or on the security of classical cryptographic schemes…

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

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

We propose a secure inference protocol for a distributed setting involving a single server node and multiple client nodes. We assume that the observed data vector is partitioned across multiple client nodes while the deep learning model is…

Cryptography and Security · Computer Science 2024-07-23 Shuangyi Chen , Yue Ju , Zhongwen Zhu , Ashish Khisti

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

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

Homomorphic encryption enables arbitrary computation over data while it remains encrypted. This privacy-preserving feature is attractive for machine learning, but requires significant computational time due to the large overhead of the…

Cryptography and Security · Computer Science 2018-11-27 Edward Chou , Josh Beal , Daniel Levy , Serena Yeung , Albert Haque , Li Fei-Fei

Quantum cryptographic definitions are often sensitive to the number of copies of the cryptographic states revealed to an adversary. Making definitional changes to the number of copies accessible to an adversary can drastically affect…

Quantum Physics · Physics 2026-03-10 Prabhanjan Ananth , Eli Goldin

Quantum homomorphic encryption (QHE), allows a quantum cloud server to compute on private data as uploaded by a client. We provide a proof-of-concept software simulation for QHE, according to the "EPR" scheme of Broadbent and Jeffery, for…

Quantum Physics · Physics 2025-07-29 Sohrab Ganjian , Connor Paddock , Anne Broadbent

In this paper we compare the performance of various homomorphic encryption methods on a private search scheme that can achieve $k$-anonymity privacy. To make our benchmarking fair, we use open sourced cryptographic libraries which are…

Cryptography and Security · Computer Science 2017-03-27 Shiyu Ji , Kun Wan