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We prove that it is impossible to construct perfect-complete quantum public-key encryption (QPKE) with classical keys from quantumly secure one-way functions (OWFs) in a black-box manner, resolving a long-standing open question in quantum…

Quantum Physics · Physics 2025-04-09 Longcheng Li , Qian Li , Xingjian Li , Qipeng Liu

There has been a recent interest in proposing quantum protocols whose security relies on weaker computational assumptions than their classical counterparts. Importantly to our work, it has been recently shown that public-key encryption…

Quantum Physics · Physics 2023-11-08 Samuel Bouaziz--Ermann , Alex B. Grilo , Damien Vergnaud , Quoc-Huy Vu

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…

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

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

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…

Quantum Physics · Physics 2011-07-13 Li Yang , Min Liang , Bao Li , Lei Hu , Deng-Guo Feng

Quantum public-key encryption (PKE), where public-keys and/or ciphertexts can be quantum states, is an important primitive in quantum cryptography. Unlike classical PKE (e.g., RSA or ECC), quantum PKE can leverage quantum-secure…

Quantum Physics · Physics 2025-09-23 Nishant Rodrigues , Walter O. Krawec , Brad Lackey , Deb Mukhopadhyay , Bing Wang

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

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…

Quantum Physics · Physics 2024-05-27 Fuyuki Kitagawa , Tomoyuki Morimae , Ryo Nishimaki , Takashi Yamakawa

In classical cryptography, one-way functions (OWFs) are the minimal assumption, while it is not the case in quantum cryptography. Several new primitives have been introduced such as pseudorandom state generators (PRSGs), one-way state…

Quantum Physics · Physics 2025-09-30 Taiga Hiroka , Tomoyuki Morimae

In this work we study the quantum security of public key encryption schemes (PKE). Boneh and Zhandry (CRYPTO'13) initiated this research area for PKE and symmetric key encryption (SKE), albeit restricted to a classical indistinguishability…

Cryptography and Security · Computer Science 2021-06-15 Tommaso Gagliardoni , Juliane Krämer , Patrick Struck

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

A classical obfuscator for quantum circuits is a classical program that, given the classical description of a quantum circuit $Q$, outputs the classical description of a functionally equivalent quantum circuit $\hat{Q}$ that hides as much…

Quantum Physics · Physics 2026-01-14 James Bartusek , Aparna Gupte , Saachi Mutreja , Omri Shmueli

We show that there exists an oracle relative to which quantum commitments exist but no (efficiently verifiable) one-way state generators exist. Both have been widely considered candidates for replacing one-way functions as the minimal…

Quantum Physics · Physics 2025-04-14 John Bostanci , Boyang Chen , Barak Nehoran

We show how oracles which only allow for classical query access can be used to construct a variety of quantum cryptographic primitives which do not require long-term quantum memory or global entanglement. Specifically, if a quantum party…

Quantum Physics · Physics 2025-05-14 Lev Stambler

One-way functions (OWF) are one of the most essential cryptographic primitives, the existence of which results in wide-ranging ramifications such as private-key encryption and proving $P \neq NP$. These OWFs are often thought of as having…

Quantum Physics · Physics 2022-09-22 Wei Zheng Teo , Marco Carmosino , Lior Horesh

We construct a (compact) quantum fully homomorphic encryption (QFHE) scheme starting from (compact) classical fully homomorphic encryption scheme with decryption in $\mathsf{NC}^{1}$, together with a dual-mode trapdoor function family.…

Quantum Physics · Physics 2024-06-06 Aparna Gupte , Vinod Vaikuntanathan

In modern cryptography, block encryption is a fundamental cryptographic primitive. However, it is impossible for block encryption to achieve the same security as one-time pad. Quantum mechanics has changed the modern cryptography, and lots…

Cryptography and Security · Computer Science 2018-12-17 Min Liang , Li Yang

While in classical cryptography, one-way functions (OWFs) are widely regarded as the "minimal assumption," the situation in quantum cryptography is less clear. Recent works have put forward two concurrent candidates for the minimal…

Quantum Physics · Physics 2025-05-27 Amit Behera , Giulio Malavolta , Tomoyuki Morimae , Tamer Mour , Takashi Yamakawa

Publicly-verifiable quantum money has been a central and challenging goal in quantum cryptography. To this day, no constructions exist based on standard assumptions. In this study, we propose an alternative notion called quantum cheques…

Quantum Physics · Physics 2024-04-19 Mohammed Barhoush , Louis Salvail
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