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We formalize and study the notion of a quantum trapdoor function. This is an efficiently computable unitary that takes as input a "public" quantum state and a classical string $x$, and outputs a quantum state. This map is such that (i) it…

量子物理 · 物理学 2023-04-26 Andrea Coladangelo

Exploring the symmetries underlying a previously proposed encryption scheme which relies on single-qubit rotations, we derive an improved upper bound on the maximum information that an eavesdropper might extract from all the available…

量子物理 · 物理学 2012-03-02 U. Seyfarth , G. M. Nikolopoulos , G. Alber

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…

We show how an arbitrary qubit rotation can be teleported, albeit probabilistically, using 1 e-bit of entanglement and one classical bit. We use this to present a scheme for implementing quantum secret sharing. The scheme operates…

量子物理 · 物理学 2009-11-07 Chui-Ping Yang , Julio Gea-Banacloche

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…

量子物理 · 物理学 2015-08-03 Muhammad Nadeem

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…

量子物理 · 物理学 2011-07-13 Li Yang , Min Liang , Bao Li , Lei Hu , Deng-Guo Feng

It is an important question to find constructions of quantum cryptographic protocols which rely on weaker computational assumptions than classical protocols. Recently, it has been shown that oblivious transfer and multi-party computation…

密码学与安全 · 计算机科学 2023-06-22 Alex B. Grilo , Or Sattath , Quoc-Huy Vu

We construct a classical oracle relative to which $\mathsf{P} = \mathsf{NP}$ but quantum-computable quantum-secure trapdoor one-way functions exist. This is a substantial strengthening of the result of Kretschmer, Qian, Sinha, and Tal (STOC…

量子物理 · 物理学 2025-09-18 William Kretschmer , Luowen Qian , Avishay Tal

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…

量子物理 · 物理学 2007-05-23 Guihua Zeng , Carlos Saavedra , Christoph H. Keitel

We construct quantum public-key encryption from one-way functions. In our construction, public keys are quantum, but ciphertexts are classical. Quantum public-key encryption from one-way functions (or weaker primitives such as pseudorandom…

量子物理 · 物理学 2024-05-27 Fuyuki Kitagawa , Tomoyuki Morimae , Ryo Nishimaki , 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…

信息论 · 计算机科学 2011-03-22 Harry Yosh

One-way functions are fundamental to classical cryptography and their existence remains a longstanding problem in computational complexity theory. Recently, a provable quantum one-way function has been identified, which maintains its…

量子物理 · 物理学 2024-08-27 Hua-Lei Yin

Quantum public-key encryption [Gottesman; Kawachi et al., Eurocrypt'05] generalizes public-key encryption (PKE) by allowing the public keys to be quantum states. Prior work indicated that quantum PKE can be constructed from assumptions that…

量子物理 · 物理学 2023-03-03 Khashayar Barooti , Giulio Malavolta , Michael Walter

We present a bit-string quantum oblivious transfer protocol based on single-qubit rotations. Our protocol is built upon a previously proposed quantum public-key protocol and its practical security relies on the laws of Quantum Mechanics.…

量子物理 · 物理学 2017-09-05 J. Rodrigues , P. Mateus , N. Paunković , A. Souto

One-way functions are central to classical cryptography. They are both necessary for the existence of non-trivial classical cryptosystems, and sufficient to realize meaningful primitives including commitments, pseudorandom generators and…

量子物理 · 物理学 2024-01-30 Dakshita Khurana , Kabir Tomer

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…

量子物理 · 物理学 2015-01-30 Chenmiao Wu , Li Yang

Based on quantum encryption, we present a new idea for quantum public-key cryptography (QPKC) and construct a whole theoretical framework of a QPKC system. We show that the quantum-mechanical nature renders it feasible and reasonable to use…

量子物理 · 物理学 2009-12-23 Fei Gao , Qiao-Yan Wen , Su-Juan Qin , Fu-Chen Zhu

We present several quantum public-key encryption (QPKE) protocols designed with conjugate coding single-photon string, thus may be realized in laboratory with nowadays techniques. Two of these schemes are orienting one-bit message, and are…

量子物理 · 物理学 2013-04-22 Li Yang , Biyao Yang , Chong Xiang

In the framework of Impagliazzo's five worlds, a distinction is often made between two worlds, one where public-key encryption exists (Cryptomania), and one in which only one-way functions exist (MiniCrypt). However, the boundaries between…

In this note, we characterize the form of an invertible quantum operation, i.e., a completely positive trace preserving linear transformation (a CPTP map) whose inverse is also a CPTP map. The precise form of such maps becomes important in…

量子物理 · 物理学 2018-03-22 Ashwin Nayak , Pranab Sen
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