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Homomorphic permutation is fundamental to privacy-preserving computations based on batch-encoding homomorphic encryption. It underpins nearly all homomorphic matrix operations and predominantly influences their complexity. Permutation…

Cryptography and Security · Computer Science 2025-11-27 Xirong Ma , Junling Fang , Chunpeng Ge , Dung Hoang Duong , Yali Jiang , Yanbin Li , Willy Susilo , Lizhen Cui

Variational quantum algorithms have emerged as a powerful tool for harnessing the potential of near-term quantum devices to address complex challenges across quantum science and technology. Yet, the robust and scalable quantification of…

Quantum Physics · Physics 2025-10-21 Vahid Azimi-Mousolou , Prashant Singh

Protecting the parameters, states, and input/output signals of a dynamic controller is essential for securely outsourcing its computation to an untrusted third party. Although a fully homomorphic encryption scheme allows the evaluation of…

Systems and Control · Electrical Eng. & Systems 2025-03-04 Kaoru Teranishi , Tomonori Sadamoto , Kiminao Kogiso

Digital signatures are widely used in electronic communications to secure important tasks such as financial transactions, software updates, and legal contracts. The signature schemes that are in use today are based on public-key…

Quantum Physics · Physics 2023-03-15 Juan Miguel Arrazola , Petros Wallden , Erika Andersson

I construct a secure multi-party scheme to compute a classical function by a succinct use of a specially designed fault-tolerant random polynomial quantum error correction code. This scheme is secure provided that (asymptotically) strictly…

Quantum Physics · Physics 2009-10-31 H. F. Chau

Few of the known quantum algorithms can be reliably executed on a quantum computer. Therefore, as an extension, we propose a Parallel Quantum Hough transform (PQHT) algorithm that we execute on a quantum computer. We give its implementation…

Image and Video Processing · Electrical Eng. & Systems 2023-11-21 Frank Klefenz , Nico Wittrock , Frank Feldhoff

In this chapter, we will explore the cloud-outsourced privacy-preserving computation of a controller on encrypted measurements from a (possibly distributed) system, taking into account the challenges introduced by the dynamical nature of…

Systems and Control · Electrical Eng. & Systems 2019-06-25 Andreea B. Alexandru , George J. Pappas

Secure quantum key distribution with multimode Gaussian entangled states and multimode homodyne detectors is proposed. In general the multimode character of both the sources of entanglement and the homodyne detectors can cause a security…

Quantum Physics · Physics 2014-12-19 Vladyslav C. Usenko , Laszlo Ruppert , Radim Filip

Quantum computing (QC) holds the promise of revolutionizing problem-solving by exploiting quantum phenomena like superposition and entanglement. It offers exponential speed-ups across various domains, from machine learning and security to…

Quantum Physics · Physics 2023-10-27 Suryansh Upadhyay , Rupshali Roy , Swaroop Ghosh

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

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

Quantum compilers play a crucial role in quantum computing by converting these algorithmic quantum circuits into forms compatible with specific quantum computer hardware. However, untrusted quantum compilers present considerable risks,…

Quantum Physics · Physics 2025-08-19 Anees Rehman , Vincent Langford , Yuntao Liu

Quantum computers provide a fundamentally new computing paradigm that promises to revolutionize our ability to solve broad classes of problems. Surprisingly, the basic mathematical structures of gate-based quantum computing, such as unitary…

Quantum Physics · Physics 2019-08-20 Brian R. La Cour , S. Andrew Lanham , Corey I. Ostrove

Realization of quantum computing requires the development of high-fidelity quantum gates that are resilient to decoherence, control errors, and environmental noise. While non-adiabatic holonomic quantum computation (NHQC) offers a promising…

Quantum Physics · Physics 2024-12-04 Zhihuang Kang , Shutong Wu , Kunji Han , Jiamin Qiu , Joel Moser , Jie Lu , Ying Yan

A secure two-party computation protocol for running dynamic controllers over secret sharing has recently been proposed. Unlike encrypted control schemes based on homomorphic encryption, this protocol enables operating dynamic controllers…

Systems and Control · Electrical Eng. & Systems 2026-05-13 Kaoru Teranishi , Jihoon Suh , Takashi Tanaka

A delegation scheme allows a computationally weak client to use a server's resources to help it evaluate a complex circuit without leaking any information about the input (other than its length) to the server. In this paper, we consider…

Quantum Physics · Physics 2020-05-01 Jiayu Zhang

Quantum networks aim to facilitate the fault-tolerant and secure transmission of quantum states across distant devices. The widely adopted quantum teleportation scheme requires multiple rounds of entanglement swapping and purification,…

Quantum Physics · Physics 2025-11-14 IlKwon Sohn , Boseon Kim , Kwangil Bae , Wooyeong Song , Chankyun Lee , Kabgyun Jeong , Wonhyuk Lee

Quantum computer is no longer a hypothetical idea. It is the worlds most important technology and there is a race among countries to get supremacy in quantum technology. Its the technology that will reduce the computing time from years to…

Cryptography and Security · Computer Science 2022-04-07 Manish Kumar

Digital signal processing technology has paved the way for the realization of high-speed continuous-variable quantum key distribution systems. However, existing security proofs are limited to static digital signal processing algorithms,…

Quantum Physics · Physics 2026-02-06 Lu Fan , Zhengyu Li , Sheng Liu , Xuesong Xu , Tianyu Zhang , Jiale Mi , Dong Wang , Dechao Zhang , Han Li , Song Yu , Yichen Zhang

Scalable quantum computation in realistic devices requires that precise control can be implemented efficiently in the presence of decoherence and operational errors. We propose a general constructive procedure for designing robust unitary…

Quantum Physics · Physics 2009-04-21 Kaveh Khodjasteh , Lorenza Viola
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