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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

Pseudorandom quantum states (PRS) are efficiently constructible states that are computationally indistinguishable from being Haar-random, and have recently found cryptographic applications. We explore new definitions, new properties and…

Quantum Physics · Physics 2023-06-12 Prabhanjan Ananth , Aditya Gulati , Luowen Qian , Henry Yuen

We show new constructions for pseudorandom quantum states (PRS) and pseudorandom function-like quantum state (PRFS) generators satisfying scalability, which means the security parameter can be much larger than the number of qubits, quantum…

Quantum Physics · Physics 2026-02-18 Rishabh Batra , Zhili Chen , Rahul Jain , YaoNan Zhang

Pseudorandom states, introduced by Ji, Liu and Song (Crypto'18), are efficiently-computable quantum states that are computationally indistinguishable from Haar-random states. One-way functions imply the existence of pseudorandom states, but…

Quantum Physics · Physics 2022-03-16 Prabhanjan Ananth , Luowen Qian , Henry Yuen

Pseudorandom functions (PRFs) are one of the most fundamental primitives in classical cryptography. On the other hand, in quantum cryptography, it is possible that PRFs do not exist but their quantum analogues could exist, and still…

Quantum Physics · Physics 2025-10-07 Aditya Gulati , Yao-Ting Lin , Tomoyuki Morimae , Shogo Yamada

We study the relationship between notions of pseudorandomness in the quantum and classical worlds. Pseudorandom quantum state generator (PRSG), a pseudorandomness notion in the quantum world, is an efficient circuit that produces states…

Quantum Physics · Physics 2023-09-15 Prabhanjan Ananth , Yao-Ting Lin , Henry Yuen

There are various notions of quantum pseudorandomness, such as pseudorandom unitaries (PRUs), pseudorandom state generators (PRSGs) and pseudorandom function-like state generators (PRFSGs). Unlike classical pseudorandomness, where different…

Quantum Physics · Physics 2026-03-11 Samuel Bouaziz--Ermann , Minki Hhan , Garazi Muguruza , Quoc-Huy Vu

Different flavors of quantum pseudorandomness have proven useful for various cryptographic applications, with the compelling feature that these primitives are potentially weaker than post-quantum one-way functions. Ananth, Lin, and Yuen…

Cryptography and Security · Computer Science 2024-10-08 Mohammed Barhoush , Amit Behera , Lior Ozer , Louis Salvail , Or Sattath

We study the (in)feasibility of quantum pseudorandom notions in a quantum analog of the random oracle model, where all the parties, including the adversary, have oracle access to the same Haar random unitary. In this model, we show the…

Quantum Physics · Physics 2024-10-28 Prabhanjan Ananth , John Bostanci , Aditya Gulati , Yao-Ting Lin

Common random string model is a popular model in classical cryptography with many constructions proposed in this model. We study a quantum analogue of this model called the common Haar state model, which was also studied in an independent…

Quantum Physics · Physics 2024-04-11 Prabhanjan Ananth , Aditya Gulati , Yao-Ting Lin

Efficiently sampling a quantum state that is hard to distinguish from a truly random quantum state is an elementary task in quantum information theory that has both computational and physical uses. This is often referred to as pseudorandom…

Quantum Physics · Physics 2020-04-07 Zvika Brakerski , Omri Shmueli

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

We construct a classical oracle relative to which $\mathsf{P} = \mathsf{NP}$ yet single-copy secure pseudorandom quantum states exist. In the language of Impagliazzo's five worlds, this is a construction of pseudorandom states in…

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

This paper, for the first time, addresses the questions related to the connections between the quantum pseudorandomness and quantum hardware assumptions, specifically quantum physical unclonable functions (qPUFs). Our results show that the…

Quantum Physics · Physics 2022-03-31 Mina Doosti , Niraj Kumar , Elham Kashefi , Kaushik Chakraborty

Quantum pseudorandom state generators (PRSGs) have stimulated exciting developments in recent years. A PRSG, on a fixed initial (e.g., all-zero) state, produces an output state that is computationally indistinguishable from a Haar random…

Quantum Physics · Physics 2024-09-24 Chuhan Lu , Minglong Qin , Fang Song , Penghui Yao , Mingnan Zhao

Pseudorandom generators (PRGs) are a foundational primitive in classical cryptography, underpinning a wide range of constructions. In the quantum setting, pseudorandom quantum states (PRSs) were proposed as a potentially weaker assumption…

Cryptography and Security · Computer Science 2025-11-14 Mohammed Barhoush

Common random string model is a popular model in classical cryptography. We study a quantum analogue of this model called the common Haar state (CHS) model. In this model, every party participating in the cryptographic system receives many…

Quantum Physics · Physics 2024-07-12 Prabhanjan Ananth , Aditya Gulati , Yao-Ting Lin

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

Quantum Physical Unclonable Functions (QPUFs) are hardware-based cryptographic primitives with strong theoretical security. This security stems from their modeling as Haar-random unitaries. However, implementing such unitaries on…

Quantum Physics · Physics 2025-11-25 Soham Ghosh , Holger Boche , Marc Geitz

Pseudorandom states (PRS) are an important primitive in quantum cryptography. In this paper, we show that subset states can be used to construct PRSs. A subset state with respect to $S$, a subset of the computational basis, is \[…

Quantum Physics · Physics 2024-03-05 Fernando Granha Jeronimo , Nir Magrafta , Pei Wu
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