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Physical Unclonable Functions (PUFs) leverage inherent, non-clonable physical randomness to generate unique input-output pairs, serving as secure fingerprints for cryptographic protocols like authentication. Quantum PUFs (QPUFs) extend this…

There have been various constructions of classical codes from polynomial valuations in literature \cite{ARC04, LNX01,LX04,XF04,XL00}. In this paper, we present a construction of classical codes based on polynomial construction again. One of…

Information Theory · Computer Science 2013-08-19 Lingfei Jin , Chaoping Xing

Rabi and Sherman [RS97] presented novel digital signature and unauthenticated secret-key agreement protocols, developed by themselves and by Rivest and Sherman. These protocols use ``strong,'' total, commutative (in the case of multi-party…

Computational Complexity · Computer Science 2007-05-23 Lane A. Hemaspaandra , Joerg Rothe

Numbers-on-Forehead (NOF) communication model is a central model in communication complexity. As a restricted variant, one-way NOF model is of particular interest. Establishing strong one-way NOF lower bounds would imply circuit lower…

Quantum Physics · Physics 2026-03-25 Guangxu Yang , Jiapeng Zhang

We consider a new model for the testing of untrusted quantum devices, consisting of a single polynomial-time bounded quantum device interacting with a classical polynomial-time verifier. In this model we propose solutions to two tasks - a…

Quantum Physics · Physics 2021-05-06 Zvika Brakerski , Paul Christiano , Urmila Mahadev , Umesh Vazirani , Thomas Vidick

Many applications of quantum computing in the near term rely on variational quantum circuits (VQCs). They have been showcased as a promising model for reaching a quantum advantage in machine learning with current noisy intermediate scale…

Quantum Physics · Physics 2022-10-25 Jonas Landman , Slimane Thabet , Constantin Dalyac , Hela Mhiri , Elham Kashefi

Classical and quantum walks on some finite paths are introduced. It is shown that these walks have explicit solutions given in terms of exceptional Krawtchouk polynomials and their properties are explored. In particular, fractional revival…

Mathematical Physics · Physics 2022-10-19 Hiroshi Miki , Satoshi Tsujimoto , Luc Vinet

Given the extensive application of classical random walks to classical algorithms in a variety of fields, their quantum analogue in quantum walks is expected to provide a fruitful source of quantum algorithms. So far, however, such…

Quantum Physics · Physics 2008-03-26 B. L. Douglas , J. B. Wang

Quantum computing promises to exploit the laws of quantum mechanics for processing information in ways fundamentally different from today's classical computers, leading to unprecedented efficiency. One-way quantum computation, sometimes…

Discrete Fourier transform (DFT) is the base of modern signal or information processing. 1-Dimensional fast Fourier transform (1D FFT) and 2D FFT have time complexity O(NlogN) and O(N^2logN) respectively. Quantum 1D and 2D DFT algorithms…

Quantum Physics · Physics 2007-06-19 Chao-Yang Pang , Ben-Qiong Hu

One-way quantum computing is a promising candidate for fault-tolerant quantum computing. Here, we propose new protocols to realize a deterministic one-way CNOT gate and one-way $X$-rotations on quantum-computing platforms. By applying a…

Open quantum walks (OQW) are formulated as quantum Markov chains on graphs. It is shown that OQWs are a very useful tool for the formulation of dissipative quantum computing algorithms and for dissipative quantum state preparation. In…

Quantum Physics · Physics 2014-01-15 S. Attal , F. Petruccione , I. Sinayskiy

Is it possible to convert classical cryptographic reductions into post-quantum ones? It is customary to argue that while this is problematic in the interactive setting, non-interactive reductions do carry over. However, when considering…

Quantum Physics · Physics 2022-03-07 Nir Bitansky , Zvika Brakerski , Yael Tauman Kalai

The goal of this paper is to introduce ideas and methodology of the generic case complexity to cryptography community. This relatively new approach allows one to analyze the behavior of an algorithm on ''most'' inputs in a simple and…

Computational Complexity · Computer Science 2008-02-27 Alex D. Myasnikov

Isolated qubits are a special class of quantum devices, which can be used to implement tamper-resistant cryptographic hardware such as one-time memories (OTM's). Unfortunately, these OTM constructions leak some information, and standard…

Quantum Physics · Physics 2015-05-14 Yi-Kai Liu

Quantum computing often requires classical data to be supplied to execution environments that may not be fully trusted or isolated. While encryption protects data at rest and in transit, it provides limited protection once computation…

Cryptography and Security · Computer Science 2026-03-19 Amal Raj , Vivek Balachandran

In STOC 1999, Raz presented a (partial) function for which there is a quantum protocol communicating only $O(\log n)$ qubits, but for which any classical (randomized, bounded-error) protocol requires $\poly(n)$ bits of communication. That…

Computational Complexity · Computer Science 2010-09-21 Bo'az Klartag , Oded Regev

One-time programs are modelled after a black box that allows a single evaluation of a function, and then self-destructs. Because software can, in principle, be copied, general one-time programs exists only in the hardware token model: it…

Quantum Physics · Physics 2013-09-27 Anne Broadbent , Gus Gutoski , Douglas Stebila

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 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