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A pseudorandom quantum state (PRS) is an ensemble of quantum states indistinguishable from Haar-random states to observers with efficient quantum computers. It allows one to substitute the costly Haar-random state with efficiently…

Quantum Physics · Physics 2025-04-25 Andrew Tanggara , Mile Gu , Kishor Bharti

Pseudorandom quantum states (PRSs) and pseudorandom unitaries (PRUs) possess the dual nature of being efficiently constructible while appearing completely random to any efficient quantum algorithm. In this study, we establish fundamental…

Quantum Physics · Physics 2025-06-04 Tobias Haug , Kishor Bharti , Dax Enshan Koh

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

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

Pseudorandom Quantum States (PRS) were introduced by Ji, Liu and Song as quantum analogous to Pseudorandom Generators. They are an ensemble of states efficiently computable but computationally indistinguishable from Haar random states.…

Quantum Physics · Physics 2024-02-22 Samuel Bouaziz--Ermann , Garazi Muguruza

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

In this work, we focus on the following question: what are the cryptographic implications of having access to an oracle that provides a single Haar random quantum state? We find that the study of such a model sheds light on several aspects…

Quantum Physics · Physics 2025-05-16 Boyang Chen , Andrea Coladangelo , Or Sattath

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

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

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

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 consider the problem of efficiently simulating random quantum states and random unitary operators, in a manner which is convincing to unbounded adversaries with black-box oracle access. This problem has previously only been considered…

Quantum Physics · Physics 2020-06-17 Gorjan Alagic , Christian Majenz , Alexander Russell

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 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

One of the most fundamental results in classical cryptography is that the existence of Pseudo-Random Generators (PRG) that expands $k$ bits of randomness to $k+1$ bits that are pseudo-random implies the existence of PRG that expand $k$ bits…

Quantum Physics · Physics 2024-11-06 Romi Levy , Thomas Vidick

A technique for controlling errors in the functioning of nodes for the formation of $q$-valued pseudo-random sequences (PRS) operating under both random errors and errors generated through intentional attack by an attacker is provided, in…

Cryptography and Security · Computer Science 2018-09-10 Oleg Finko , Sergey Dichenko , Dmitry Samoylenko

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

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

Watermarks are an essential tool for identifying AI-generated content. Recently, Christ and Gunn (CRYPTO '24) introduced pseudorandom error-correcting codes (PRCs), which are equivalent to watermarks with strong robustness and quality…

Cryptography and Security · Computer Science 2025-12-10 Miranda Christ , Noah Golowich , Sam Gunn , Ankur Moitra , Daniel Wichs

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
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