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We present a version of quantum hash function based on non-binary discrete functions. The proposed quantum procedure is "classical-quantum", that is, it takes a classical bit string as an input and produces a quantum state. The resulting…

Quantum Physics · Physics 2013-10-21 Farid Ablayev , Alexander Vasiliev

Digital signatures are widely used to provide security for electronic communications, for example in financial transactions and electronic mail. Currently used classical digital signature schemes, however, only offer security relying on…

We show how to construct pseudorandom permutations (PRPs) that remain secure even if the adversary can query the permutation, both in the forward and reverse directions, on a quantum superposition of inputs. Such quantum-secure PRPs have…

Cryptography and Security · Computer Science 2025-04-09 Mark Zhandry

We propose the concept of pseudorandom states and study their constructions, properties, and applications. Under the assumption that quantum-secure one-way functions exist, we present concrete and efficient constructions of pseudorandom…

Quantum Physics · Physics 2023-11-28 Zhengfeng Ji , Yi-Kai Liu , Fang Song

We provide a non-interactive quantum bit commitment scheme which has statistically-hiding and computationally-binding properties from any quantum one-way function. Our protocol is basically a parallel composition of the previous…

Quantum Physics · Physics 2011-02-18 Takeshi Koshiba , Takanori Odaira

A quantum digital signature protocol based on quantum mechanics is proposed in this paper. The security of the protocol relies on the existence of quantum one-way functions by quantum information theorem. This protocol involves a so-called…

Quantum Physics · Physics 2007-05-23 Xin Lü , Deng-Guo Feng

We introduce the pseudorandom quantum authentication scheme (PQAS), an efficient method for encrypting quantum states that relies solely on the existence of pseudorandom unitaries (PRUs). The scheme guarantees that for any eavesdropper with…

Quantum Physics · Physics 2025-01-03 Tobias Haug , Nikhil Bansal , Wai-Keong Mok , Dax Enshan Koh , Kishor Bharti

One-time programs (Goldwasser, Kalai and Rothblum, CRYPTO 2008) are functions that can be run on any single input of a user's choice, but not on a second input. Classically, they are unachievable without trusted hardware, but the…

Cryptography and Security · Computer Science 2025-08-29 Aparna Gupte , Jiahui Liu , Justin Raizes , Bhaskar Roberts , Vinod Vaikuntanathan

We propose an efficient quantum protocol performing quantum bit commitment, which is a simple cryptographic primitive involved with two parties, called a committer and a verifier. Our protocol is non-interactive, uses no supplemental shared…

Quantum Physics · Physics 2013-09-03 Tomoyuki Yamakami

Randomness is both a useful way to model natural systems and a useful tool for engineered systems, e.g. in computation, communication and control. Fully random transformations require exponential time for either classical or quantum…

Quantum Physics · Physics 2016-05-04 Fernando G. S. L. Brandao , Aram W. Harrow , Michal Horodecki

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…

Quantum Physics · Physics 2025-09-18 William Kretschmer , Luowen Qian , Avishay Tal

A one way partial quantum bit commitment protocol is developed, using states with built-in classical correlation, completely independent of entanglement. It involves concealing information in a set of mutually non-orthogonal states and…

Quantum Physics · Physics 2009-09-18 Sriram Prasath E. , Prasanta K. Panigrahi

Digital signatures guarantee the authenticity and transferability of messages, and are widely used in modern communication. The security of currently used classical digital signature schemes, however, relies on computational assumptions. In…

Quantum Physics · Physics 2015-04-09 Petros Wallden , Vedran Dunjko , Adrian Kent , Erika Andersson

Unpredictable functions (UPFs) play essential roles in classical cryptography, including message authentication codes (MACs) and digital signatures. In this paper, we introduce a quantum analog of UPFs, which we call unpredictable state…

Quantum Physics · Physics 2025-03-27 Tomoyuki Morimae , Shogo Yamada , Takashi Yamakawa

In a secure bit commitment protocol involving only classical physics, A commits either a 0 or a 1 to B. If quantum information is used in the protocol, A may be able to commit a state of the form $\alpha \ket{0} + \beta \ket{1}$. If so, she…

Quantum Physics · Physics 2009-10-31 Adrian Kent

The existence of one-way functions is one of the most fundamental assumptions in classical cryptography. In the quantum world, on the other hand, there are evidences that some cryptographic primitives can exist even if one-way functions do…

Quantum Physics · Physics 2024-05-09 Tomoyuki Morimae , Takashi Yamakawa

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…

Quantum Physics · Physics 2023-03-03 Khashayar Barooti , Giulio Malavolta , Michael Walter

Recent oracle separations [Kretschmer, TQC'21, Kretschmer et. al., STOC'23] have raised the tantalizing possibility of building quantum cryptography from sources of hardness that persist even if the polynomial hierarchy collapses. We…

Quantum Physics · Physics 2024-10-11 Dakshita Khurana , Kabir Tomer

In 2013, Farid and Vasiliev [arXiv:quant-ph/1310.4922] for the first time proposed a way to construct a protocol for the realisation of "{\em Classical to Quantum}" one-way hash function, a derivative of the Quantum one-way function as…

Quantum Physics · Physics 2018-10-10 Amit Behera , Goutam Paul

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…

Cryptography and Security · Computer Science 2023-06-22 Alex B. Grilo , Or Sattath , Quoc-Huy Vu