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Aiming at a ternary quantum logic circuit, four symmetric ternary quantum homomorphic encryption schemes, based on ternary quantum one-time protocol, were presented. First, for a one-qutrit rotation gate, a homomorphic quantum encryption…

Quantum Physics · Physics 2015-05-13 Yuqi Wang , Kun She , Qingbin Luo , Fan Yang , Chao Zhao

Quantum homomorphic encryption is the corresponding technology of classical homomorphic encryption in the quantum field. Due to its ability to ensure the correctness of computation and the security of data, it is particularly suitable for…

Quantum Physics · Physics 2025-05-13 Zhen-Zhen Li , Ming-Kui Liu , Wen-Ling Yang , Bo Gao , Zi-Chen Li

In this paper, we evaluate the different fully homomorphic encryption schemes, propose an implementation, and numerically analyze the applicability of gradient descent algorithms to solve quadratic programming in a homomorphic encryption…

Cryptography and Security · Computer Science 2023-09-06 André Bertolace , Konstantinos Gatsis , Kostas Margellos

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

Homomorphic Encryption (HE) allows secure and privacy-protected computation on encrypted data without the need to decrypt it. Since Shor's algorithm rendered prime factorisation and discrete logarithm-based ciphers insecure with quantum…

Cryptography and Security · Computer Science 2025-04-24 Siddhartha Siddhiprada Bhoi , Arathi Arakala , Amy Beth Corman , Asha Rao

A cryptographic algorithm is proposed based on fully quantum mechanical keys and ciphers. Encryption and decryption are carried out via an appropriate measurement process on entangled states as governed by a quantum mechanical, asymmetrical…

Quantum Physics · Physics 2007-05-23 Guihua Zeng , Carlos Saavedra , Christoph H. Keitel

The goal of this chapter is to present a survey of homomorphic encryption techniques and their applications. After a detailed discussion on the introduction and motivation of the chapter, we present some basic concepts of cryptography. The…

Cryptography and Security · Computer Science 2021-09-03 Jaydip Sen

Based on $d$-dimensional quantum full homomorphic encryption, an efficient and secure quantum network coding protocol is proposed in this paper. First, a quantum full homomorphic encryption protocol is constructed utilizing $d$-dimensional…

Quantum Physics · Physics 2023-05-26 Ning Wang , Fei Gao , Song Lin

Following a sequence of hardware designs for a fully homomorphic crypto-processor - a general purpose processor that natively runs encrypted machine code on encrypted data in registers and memory, resulting in encrypted machine states -…

Cryptography and Security · Computer Science 2018-09-06 Peter Breuer , Jonathan Bowen

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

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…

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 data locking is a quantum communication primitive that allows the use of a short secret key to encrypt a much longer message. It guarantees information-theoretical security against an adversary with limited quantum memory. Here we…

Quantum Physics · Physics 2021-06-02 Zixin Huang , Pieter Kok , Cosmo Lupo

In modern cryptography, block encryption is a fundamental cryptographic primitive. However, it is impossible for block encryption to achieve the same security as one-time pad. Quantum mechanics has changed the modern cryptography, and lots…

Cryptography and Security · Computer Science 2018-12-17 Min Liang , Li Yang

Recent advances in cryptography promise to enable secure statistical computation on encrypted data, whereby a limited set of operations can be carried out without the need to first decrypt. We review these homomorphic encryption schemes in…

Machine Learning · Statistics 2015-08-27 Louis J. M. Aslett , Pedro M. Esperança , Chris C. Holmes

Group homomorphic encryption represents one of the most important building blocks in modern cryptography. It forms the basis of widely-used, more sophisticated primitives, such as CCA2-secure encryption or secure multiparty computation.…

Cryptography and Security · Computer Science 2014-01-14 Frederik Armknecht , Tommaso Gagliardoni , Stefan Katzenbeisser , Andreas Peter

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

Fully homomorphic encryption has allowed devices to outsource computation to third parties while preserving the secrecy of the data being computed on. Many images contain sensitive information and are commonly sent to cloud services to…

Cryptography and Security · Computer Science 2018-10-09 William Fu , Raymond Lin , Daniel Inge

Homomorphic quantum error correction aims to protect quantum data against both unauthorized access and environmental noise during server-based processing. We investigate the algebraic compatibility between quantum homomorphic encryption and…

Quantum Physics · Physics 2026-05-26 Kornikar Sen , Miguel A. Martin-Delgado

Cryptography literally means "The art & science of secret writing & sending a message between two parties in such a way that its contents cannot be understood by someone other than the intended recipient". and Quantum word is related with…

Networking and Internet Architecture · Computer Science 2010-07-15 Aditya Goel