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Public-key cryptosystems for quantum messages are considered from two aspects: public-key encryption and public-key authentication. Firstly, we propose a general construction of quantum public-key encryption scheme, and then construct an…

Quantum Physics · Physics 2012-05-11 Min Liang , Li Yang

A concept named induced trapdoor one-way quantum transformation (OWQT) has been introduced, and a theoretical framework of public-key encryption (PKE) of quantum message is presented based on it. Then several kinds of quantum public-key…

Quantum Physics · Physics 2011-07-13 Li Yang , Min Liang , Bao Li , Lei Hu , Deng-Guo Feng

One-way functions (OWF) are one of the most essential cryptographic primitives, the existence of which results in wide-ranging ramifications such as private-key encryption and proving $P \neq NP$. These OWFs are often thought of as having…

Quantum Physics · Physics 2022-09-22 Wei Zheng Teo , Marco Carmosino , Lior Horesh

One-way functions are a very important notion in the field of classical cryptography. Most examples of such functions, including factoring, discrete log or the RSA function, can be, however, inverted with the help of a quantum computer. In…

Quantum Physics · Physics 2007-05-23 Elham Kashefi , Iordanis Kerenidis

The functionality of classically-instructed remotely prepared random secret qubits was introduced in (Cojocaru et al 2018) as a way to enable classical parties to participate in secure quantum computation and communications protocols. The…

Quantum Physics · Physics 2019-12-23 Alexandru Cojocaru , Léo Colisson , Elham Kashefi , Petros Wallden

We prove that quantum-hard one-way functions imply simulation-secure quantum oblivious transfer (QOT), which is known to suffice for secure computation of arbitrary quantum functionalities. Furthermore, our construction only makes black-box…

Quantum Physics · Physics 2024-08-06 James Bartusek , Andrea Coladangelo , Dakshita Khurana , Fermi Ma

By analogy to classical cryptography, we develop a "quantum public key" based cryptographic scheme in which the two public and private keys consist in each of two entangled beams of squeezed light. An analog message is encrypted by…

Quantum Physics · Physics 2007-05-23 Patrick Navez , Alessandra Gatti , Luigi A. Lugiato

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

We construct a (compact) quantum fully homomorphic encryption (QFHE) scheme starting from (compact) classical fully homomorphic encryption scheme with decryption in $\mathsf{NC}^{1}$, together with a dual-mode trapdoor function family.…

Quantum Physics · Physics 2024-06-06 Aparna Gupte , Vinod Vaikuntanathan

A general class of authentication schemes for arbitrary quantum messages is proposed. The class is based on the use of sets of unitary quantum operations in both transmission and reception, and on appending a quantum tag to the quantum…

Quantum Physics · Physics 2015-06-26 Esther Perez , Marcos Curty , David J. Santos , Priscila Garcia-Fernandez

We propose a bit-oriented quantum public-key scheme which uses Boolean function as private-key and randomly changed pairs of quantum state and classical string as public-keys. Contrast to the typical classical public-key scheme, one…

Quantum Physics · Physics 2015-01-30 Chenmiao Wu , Li Yang

Although one-way functions are well-established as the minimal primitive for classical cryptography, a minimal primitive for quantum cryptography is still unclear. Universal extrapolation, first considered by Impagliazzo and Levin (1990),…

Quantum Physics · Physics 2025-04-15 Luowen Qian , Justin Raizes , Mark Zhandry

We show how quantum dynamics (a unitary transformation) can be captured in the state of a quantum system, in such a way that the system can be used to perform, at a later time, the stored transformation almost perfectly on some other…

Quantum Physics · Physics 2007-05-23 G. Vidal , J. I. Cirac

We give new arguments in support of \emph{signed quantum key establishment}, where quantum cryptography is used in a public-key infrastructure that provides the required authentication. We also analyze more thoroughly than previous works…

Quantum Physics · Physics 2013-03-13 Lawrence M. Ioannou , Michele Mosca

Private function evaluation is a task that aims to obtain the output of a function while keeping the function secret. So far its quantum analogue has not yet been articulated. In this study, we initiate the study of quantum private function…

Quantum Physics · Physics 2023-10-20 Zhu Cao

Seal in classical information is simply impossible. Since classical information can be easily copied any number of times. Based on quantum information, esp. quantum unclonable theorem, quantum seal maybe constructed perfectly. But it is…

Quantum Physics · Physics 2023-08-25 Xiaogang Cheng , Ren Guo

There is a large body of work studying what forms of computational hardness are needed to realize classical cryptography. In particular, one-way functions and pseudorandom generators can be built from each other, and thus require equivalent…

Cryptography and Security · Computer Science 2025-04-02 Bruno Cavalar , Eli Goldin , Matthew Gray , Peter Hall , Yanyi Liu , Angelos Pelecanos

The promise of quantum computation and its consequences for complexity-theoretic cryptography motivates an immediate search for cryptosystems which can be implemented with current technology, but which remain secure even in the presence of…

Quantum Physics · Physics 2007-05-23 Cristopher Moore , Alexander Russell , Umesh Vazirani

In the classical world, the existence of commitments is equivalent to the existence of one-way functions. In the quantum setting, on the other hand, commitments are not known to imply one-way functions, but all known constructions of…

Quantum Physics · Physics 2022-11-16 Tomoyuki Morimae , Takashi Yamakawa

One-way functions are widely used for encrypting the secret in public key cryptography, although they are regarded as plausibly one-way but have not been proven so. Here we discuss the public key cryptosystem based on the system of higher…

Information Theory · Computer Science 2011-03-22 Harry Yosh