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Quantum information processing systems are often operated through time dependent controls; choosing these controls in a way that makes the resulting operation insensitive to variations in unknown or uncontrollable system parameters is an…

Quantum Physics · Physics 2007-05-23 Janus H. Wesenberg

This paper introduces a completely new approach to encryption based on group theoretic quantum framework. Quantum cryptography has essentially focused only on key distribution and proceeded with classical encryption algorithm with the…

Discrete Mathematics · Computer Science 2007-05-23 N. Srinivasan , C. Sanjeevakumar , L. Sudarsan , M. Kasi Rajan , R. Venkatesh

In the classical multi-party computation setting, multiple parties jointly compute a function without revealing their own input data. We consider a variant of this problem, where the input data can be shared for machine learning training…

Machine Learning · Computer Science 2020-09-25 Chenwei Wu , Chenzhuang Du , Yang Yuan

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

We consider the problem of secure identification: user U proves to server S that he knows an agreed (possibly low-entropy) password w, while giving away as little information on w as possible, namely the adversary can exclude at most one…

Quantum Physics · Physics 2009-08-05 Ivan Damgaard , Serge Fehr , Louis Salvail , Christian Schaffner

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

The oblivious transfer primitive is sufficient to implement secure multiparty computation. However, secure multiparty computation based only on classical cryptography is severely limited by the security and efficiency of the oblivious…

Quantum computing is an emerging computing paradigm that can potentially transform several application areas by solving some of the intractable problems from classical domain. Similar to classical computing systems, quantum computing stack…

Quantum Physics · Physics 2025-04-14 Swaroop Ghosh , Suryansh Upadhyay , Abdullah Ash Saki

As cloud services continue to expand, the security of private data stored and processed in these environments has become paramount. This work delves into quantum homomorphic encryption (QHE), an emerging technology that facilitates secure…

Quantum Physics · Physics 2025-05-23 Sergio A. Ortega , Pablo Fernández , Miguel A. Martin-Delgado

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

Methods of quantum mechanics promise information-theoretic security for various protocols in cryptography. However, impossibility of some cryptographic applications such as standard bit commitment, oblivious transfer, multiparty secure…

Quantum Physics · Physics 2015-08-03 Muhammad Nadeem

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

Quantum digital signatures (QDSs) promise information-theoretic security against repudiation and forgery of messages. Compared with currently existing three-party QDS protocols, multiparty protocols have unique advantages in the practical…

Dynamical decoupling represents an active approach towards the protection of quantum memories and quantum gates. Because dynamical decoupling operations can interfere with a system's own time evolution, the protection of quantum gates is…

Quantum Physics · Physics 2025-02-25 P. Z. Zhao , Tianqi Chen , Sirui Liu , Jiangbin Gong

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

Unitary and non-unitary diagonal operators are fundamental building blocks in quantum algorithms with applications in the resolution of partial differential equations, Hamiltonian simulations, the loading of classical data on quantum…

Quantum Physics · Physics 2025-01-22 Julien Zylberman , Ugo Nzongani , Andrea Simonetto , Fabrice Debbasch

Quantum key distribution provides secure keys with information-theoretic security ensured by the principle of quantum mechanics. The continuous-variable version of quantum key distribution using coherent states offers the advantages of its…

Quantum Physics · Physics 2024-07-09 Yichen Zhang , Yiming Bian , Zhengyu Li , Song Yu , Hong Guo

Transversality is a simple and effective method for implementing quantum computation fault-tolerantly. However, no quantum error-correcting code (QECC) can transversally implement a quantum universal gate set (Eastin and Knill, Phys. Rev.…

Quantum Physics · Physics 2018-09-10 Michael Newman , Yaoyun Shi

Fully Homomorphic Encryption (FHE) has made it possible to perform addition and multiplication operations on encrypted data. Using FHE in control thus has the advantage that control effort for a plant can be calculated remotely without ever…

Systems and Control · Electrical Eng. & Systems 2022-09-29 Pieter Stobbe , Twan Keijzer , Riccardo M. G. Ferrari

We explore the implementation of hybridly protected quantum operations combining the merits of holonomy, dynamical decoupling approach and dephasing-free feature based on a simple and experimentally achievable spin model. The implementation…

Quantum Physics · Physics 2021-05-12 Chunfeng Wu , Chunfang Sun , Gangcheng Wang , Xun-Li Feng , Xuexi Yi