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One-way puzzles (OWPuzzs) introduced by Khurana and Tomer [STOC 2024] are a natural quantum analogue of one-way functions (OWFs), and one of the most fundamental primitives in ''Microcrypt'' where OWFs do not exist but quantum cryptography…

量子物理 · 物理学 2025-10-07 Tomoyuki Morimae , Yuki Shirakawa , Takashi Yamakawa

Indistinguishability obfuscation (iO) has emerged as a powerful cryptographic primitive with many implications. While classical iO, combined with the infinitely-often worst-case hardness of $\mathsf{NP}$, is known to imply one-way functions…

量子物理 · 物理学 2025-07-02 Tomoyuki Morimae , Yuki Shirakawa , Takashi Yamakawa

There is a large body of work studying what forms of computational hardness are needed to realize classical cryptography. In particular, one-way functions and pseudorandom generators can be built from each other, and thus require equivalent…

密码学与安全 · 计算机科学 2025-04-02 Bruno Cavalar , Eli Goldin , Matthew Gray , Peter Hall , Yanyi Liu , Angelos Pelecanos

We show that a simple eavesdropper listening in on classical communication between potentially entangled quantum parties will eventually be able to impersonate any of the parties. Furthermore, the attack is efficient if one-way puzzles do…

量子物理 · 物理学 2026-01-06 Luowen Qian , Mark Zhandry

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…

量子物理 · 物理学 2022-09-22 Wei Zheng Teo , Marco Carmosino , Lior Horesh

One-shot signatures (OSS) were defined by Amos, Georgiou, Kiayias, and Zhandry (STOC'20). These allow for signing exactly one message, after which the signing key self-destructs, preventing a second message from ever being signed. While…

密码学与安全 · 计算机科学 2025-07-17 Omri Shmueli , Mark Zhandry

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…

量子物理 · 物理学 2025-04-14 John Bostanci , Boyang Chen , Barak Nehoran

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…

量子物理 · 物理学 2025-09-18 William Kretschmer , Luowen Qian , Avishay Tal

We show the following hold, unconditionally unless otherwise stated, relative to a random oracle: - There are NP search problems solvable by quantum polynomial-time machines but not classical probabilistic polynomial-time machines. - There…

量子物理 · 物理学 2024-11-12 Takashi Yamakawa , Mark Zhandry

We construct a unitary oracle relative to which $\mathbf{BQP}=\mathbf{QCMA}$ but quantum-computation-classical-communication (QCCC) commitments and QCCC multiparty non-interactive key exchange exist. We also construct a unitary oracle…

量子物理 · 物理学 2025-10-07 Eli Goldin , Tomoyuki Morimae , Saachi Mutreja , Takashi Yamakawa

The quantum measurement problem, the unresolved conflict between the unitary evolution of the wave function and the postulate of wave function collapse, remains the most profound conceptual challenge in quantum foundations. While…

量子物理 · 物理学 2025-09-17 Eyad I. B Hamid

Quantum no-cloning theorem gives rise to the intriguing possibility of quantum copy protection where we encode a program or functionality in a quantum state such that a user in possession of k copies cannot create k+1 copies, for any k.…

密码学与安全 · 计算机科学 2024-11-06 Alper Çakan , Vipul Goyal

We give an exponential separation between one-way quantum and classical communication complexity for a Boolean function. Earlier such a separation was known only for a relation. A very similar result was obtained earlier but independently…

量子物理 · 物理学 2022-03-29 Dmytro Gavinsky , Julia Kempe , Ronald de Wolf

Given a function f as an oracle, the collision problem is to find two distinct inputs i and j such that f(i)=f(j), under the promise that such inputs exist. Since the security of many fundamental cryptographic primitives depends on the…

量子物理 · 物理学 2011-11-04 Yaoyun Shi

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…

量子物理 · 物理学 2025-09-30 Taiga Hiroka , Tomoyuki Morimae

Coherence arises from the superposition principle, where it plays a central role in quantum mechanics. In [Phys.Rev.Lett.114,210401(2015)], it has been shown that the freezing phenomenon of quantum correlations beyond entanglement, is…

Quantum computing leverages quantum mechanics to achieve computational advantages over classical hardware, but the use of third-party quantum compilers in the Noisy Intermediate-Scale Quantum (NISQ) era introduces risks of intellectual…

量子物理 · 物理学 2025-05-21 Amal Raj , Vivek Balachandran

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…

量子物理 · 物理学 2025-05-27 Amit Behera , Giulio Malavolta , Tomoyuki Morimae , Tamer Mour , Takashi Yamakawa

We study a longstanding question of Aaronson and Kuperberg on whether there exists a classical oracle separating $\mathsf{QMA}$ from $\mathsf{QCMA}$. Settling this question in either direction would yield insight into the power of quantum…

量子物理 · 物理学 2025-01-08 Jiahui Liu , Saachi Mutreja , Henry Yuen

We show that quantum oracles provide an advantage over classical oracles for answering classical counterfactual questions in causal models, or equivalently, for identifying unknown causal parameters such as distributions over functional…

量子物理 · 物理学 2025-12-16 Ciarán M. Gilligan-Lee , Yìlè Yīng , Jonathan Richens , David Schmid
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