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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…

量子物理 · 物理学 2020-04-07 Zvika Brakerski , Omri Shmueli

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…

量子物理 · 物理学 2023-06-12 Prabhanjan Ananth , Aditya Gulati , Luowen Qian , Henry Yuen

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…

量子物理 · 物理学 2025-04-25 Andrew Tanggara , Mile Gu , Kishor Bharti

Recent active studies have demonstrated that cryptography without one-way functions (OWFs) could be possible in the quantum world. Many fundamental primitives that are natural quantum analogs of OWFs or pseudorandom generators (PRGs) have…

量子物理 · 物理学 2024-11-06 Minki Hhan , Shogo Yamada

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…

量子物理 · 物理学 2022-03-31 Mina Doosti , Niraj Kumar , Elham Kashefi , Kaushik Chakraborty

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 \[…

量子物理 · 物理学 2024-03-05 Fernando Granha Jeronimo , Nir Magrafta , Pei Wu

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…

量子物理 · 物理学 2025-06-04 Tobias Haug , Kishor Bharti , Dax Enshan Koh

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…

量子物理 · 物理学 2024-09-24 Chuhan Lu , Minglong Qin , Fang Song , Penghui Yao , Mingnan Zhao

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…

量子物理 · 物理学 2026-03-11 Samuel Bouaziz--Ermann , Minki Hhan , Garazi Muguruza , Quoc-Huy Vu

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.…

量子物理 · 物理学 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…

量子物理 · 物理学 2023-09-15 Prabhanjan Ananth , Yao-Ting Lin , Henry Yuen

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…

密码学与安全 · 计算机科学 2024-10-08 Mohammed Barhoush , Amit Behera , Lior Ozer , Louis Salvail , Or Sattath

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…

量子物理 · 物理学 2024-11-06 Romi Levy , Thomas Vidick

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…

量子物理 · 物理学 2025-01-03 Tobias Haug , Nikhil Bansal , Wai-Keong Mok , Dax Enshan Koh , Kishor Bharti

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…

密码学与安全 · 计算机科学 2025-11-14 Mohammed Barhoush

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…

量子物理 · 物理学 2025-03-27 Tomoyuki Morimae , Shogo Yamada , Takashi Yamakawa

We develop an adaptive method for quantum state preparation that utilizes randomness as an essential component and that does not require classical optimization. Instead, a cost function is minimized to prepare a desired quantum state…

量子物理 · 物理学 2023-10-10 Alicia B. Magann , Sophia E. Economou , Christian Arenz

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…

量子物理 · 物理学 2022-03-16 Prabhanjan Ananth , Luowen Qian , Henry Yuen

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…

量子物理 · 物理学 2024-10-28 Prabhanjan Ananth , John Bostanci , Aditya Gulati , Yao-Ting Lin

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…

量子物理 · 物理学 2025-10-07 Aditya Gulati , Yao-Ting Lin , Tomoyuki Morimae , Shogo Yamada
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