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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

Oblivious Transfer (OT) is a fundamental cryptographic protocol that finds a number of applications, in particular, as an essential building block for two-party and multi-party computation. We construct a round-optimal (2 rounds)…

Cryptography and Security · Computer Science 2017-10-24 Paulo S. L. M. Barreto , Bernardo David , Rafael Dowsley , Kirill Morozov , Anderson C. A. Nascimento

A theorem is proved which states that no classical key generating protocol could ever be provably secure. Consequently, candidates for provably secure protocols must rely on some quantum effect. Theorem relies on the fact that BB84 Quantum…

Quantum Physics · Physics 2007-05-23 Mario Stipcevic

The success of quantum circuits in providing reliable outcomes for a given problem depends on the gate count and depth in near-term noisy quantum computers. Quantum circuit compilers that decompose high-level gates to native gates of the…

Quantum Physics · Physics 2023-06-30 Subrata Das , Swaroop Ghosh

Among the problems to guarantee secrecy for in-transit information, the difficulties involved in renewing cryptographic keys in a secure way using couriers, the perfect secrecy encryption method known as One-Time-Pad (OTP) became almost…

Cryptography and Security · Computer Science 2020-06-02 Geraldo A Barbosa

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…

Quantum Physics · Physics 2026-01-06 Luowen Qian , Mark Zhandry

Solving real-time quadratic programming (QP) is a ubiquitous task in control engineering, such as in model predictive control and control barrier function-based QP. In such real-time scenarios, certifying that the employed QP algorithm can…

Systems and Control · Electrical Eng. & Systems 2025-02-17 Liang Wu , Wei Xiao , Richard D. Braatz

A process for the secure transmission of data is presented that has to a certain degree the advantages of the one-time pad (OTP) cipher, that is, simplicity, speed, and information-theoretically security, but overcomes its fundamental…

Cryptography and Security · Computer Science 2016-08-22 Uwe Starossek

Blind quantum computing protocols enable a client, who can generate or measure single-qubit states, to delegate quantum computing to a remote quantum server protecting the client's privacy (i.e., input, output, and program). With current…

Quantum Physics · Physics 2019-03-26 Tomoyuki Morimae , Takeshi Koshiba

Developing secure distributed systems is difficult, and even harder when advanced cryptography must be used to achieve security goals. Following prior work, we advocate using secure program partitioning to synthesize cryptographic…

Cryptography and Security · Computer Science 2024-01-10 Coşku Acay , Joshua Gancher , Rolph Recto , Andrew C. Myers

We propose an entanglement-based quantum bit string commitment protocol whose composability is proven in the random oracle model. This protocol has the additional property of preserving the privacy of the committed message. Even though this…

Quantum Physics · Physics 2020-04-22 Mariana Gama , Paulo Mateus , André Souto

We present a polynomial-time quantum algorithm making a single query (in superposition) to a classical oracle, such that for every state $|\psi\rangle$ there exists a choice of oracle that makes the algorithm construct an exponentially…

Quantum Physics · Physics 2023-09-19 Gregory Rosenthal

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

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…

Cryptography and Security · Computer Science 2025-04-02 Bruno Cavalar , Eli Goldin , Matthew Gray , Peter Hall , Yanyi Liu , Angelos Pelecanos

A significant branch of classical cryptography deals with the problems which arise when mistrustful parties need to generate, process or exchange information. As Kilian showed a while ago, mistrustful classical cryptography can be founded…

Quantum Physics · Physics 2009-11-07 Adrian Kent

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 this letter, we prove that the perfectly secure One-Time Pad (OTP) encryption can be seen as finding the initial condition on the binary map under a random switch based on the perfectly random pad. This turns out to be a special case of…

Chaotic Dynamics · Physics 2008-03-04 Nithin Nagaraj , Prabhakar G. Vaidya

Quantum algorithms often apply classical operations, such as arithmetic or predicate checks, over a quantum superposition of classical data; these so-called oracles are often the largest components of a quantum program. To ease the…

Quantum Physics · Physics 2022-04-21 Liyi Li , Finn Voichick , Kesha Hietala , Yuxiang Peng , Xiaodi Wu , Michael Hicks

Recent experimental achievements motivate an ever-growing interest from companies starting to feel the limitations of classical computing. Yet, in light of ongoing privacy scandals, the future availability of quantum computing through…

Quantum Physics · Physics 2021-10-13 Elham Kashefi , Dominik Leichtle , Luka Music , Harold Ollivier

The Unitary Synthesis Problem (Aaronson-Kuperberg 2007) asks whether any $n$-qubit unitary $U$ can be implemented by an efficient quantum algorithm $A$ augmented with an oracle that computes an arbitrary Boolean function $f$. In other…

Quantum Physics · Physics 2023-10-16 Alex Lombardi , Fermi Ma , John Wright