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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

Random numbers are required for a variety of applications from secure communications to Monte-Carlo simulation. Yet randomness is an asymptotic property and no output string generated by a physical device can be strictly proven to be…

量子物理 · 物理学 2025-02-28 Anatoly Kulikov , Markus Jerger , Anton Potočnik , Andreas Wallraff , Arkady Fedorov

The existence of one-way functions (OWFs) forms the minimal assumption in classical cryptography. However, this is not necessarily the case in quantum cryptography. One-way puzzles (OWPuzzs), introduced by Khurana and Tomer, provide a…

量子物理 · 物理学 2025-07-03 Taiga Hiroka , Min-Hsiu Hsieh , Tomoyuki Morimae

Quantum random number generators (QRNGs) are able to generate numbers that are certifiably random, even to an agent who holds some side-information. Such systems typically require that the elements being used are precisely calibrated and…

Emerging communication and cryptography applications call for reliable, fast, unpredictable random number generators. Quantum random number generation (QRNG) allows for the creation of truly unpredictable numbers thanks to the inherent…

量子物理 · 物理学 2023-03-28 Cedric Bruynsteen , Tobias Gehring , Cosmo Lupo , Johan Bauwelinck , Xin Yin

Quantum secret sharing (QSS) is the result of merging the principles of quantum mechanics with secret information sharing. It enables a sender to share a secret among receivers, and the receivers can then collectively recover the secret…

量子物理 · 物理学 2024-02-06 Guo-Dong Li , Wen-Chuan Cheng , Qing-Le Wang , Long Cheng , Ying Mao , Heng-Yue Jia

The functionality of classically-instructed remotely prepared random secret qubits was introduced in (Cojocaru et al 2018) as a way to enable classical parties to participate in secure quantum computation and communications protocols. The…

量子物理 · 物理学 2019-12-23 Alexandru Cojocaru , Léo Colisson , Elham Kashefi , Petros Wallden

Random Number Generators are critical components of modern cryptosystems. Quantum Random Number Generators (QRNG) have emerged to provide high-quality randomness for these applications. Here we describe a scheme to extract random numbers…

量子物理 · 物理学 2024-10-01 Jaideep Singh , Rodrigo Piera , Yury Kurochkin , James A. Grieve

Pseudorandom circuits generate quantum states and unitary operators which are approximately distributed according to the unitarily invariant Haar measure. We explore how several design parameters affect the efficiency of pseudo-random…

量子物理 · 物理学 2009-11-13 Yaakov S. Weinstein , Winton G. Brown , Lorenza Viola

Semi-device independent (Semi-DI) quantum random number generators (QRNG) gained attention for security applications, offering an excellent trade-off between security and generation rate. This paper presents a proof-of-principle time-bin…

An (n,1,p)-Quantum Random Access (QRA) coding, introduced by Ambainis, Nayak, Ta-shma and Vazirani in ACM Symp. on Theory of Computing 1999, is the following communication system: The sender which has n-bit information encodes his/her…

量子物理 · 物理学 2009-11-13 Masahito Hayashi , Kazuo Iwama , Harumichi Nishimura , Rudy Raymond , Shigeru Yamashita

Quantum random number generation (QRNG) harnesses the intrinsic randomness of quantum mechanical phenomena. Demonstrations of such processes have, however, been limited to probabilistic sources, for instance, spontaneous parametric…

Successful implementations of quantum technologies require protocols and algorithms that use as few quantum resources as possible. However, many important quantum operations, such as continuous rotation gates in quantum computing or…

量子物理 · 物理学 2025-01-09 Bálint Koczor

Quantum state preparation is an important class of quantum algorithms that is employed as a black-box subroutine in many algorithms, or used by itself to generate arbitrary probability distributions. We present a novel state preparation…

量子物理 · 物理学 2020-06-02 Yutaro Iiyama

Public-key quantum money is a cryptographic proposal for using highly entangled quantum states as currency that is publicly verifiable yet resistant to counterfeiting due to the laws of physics. Despite significant interest, constructing…

量子物理 · 物理学 2023-01-24 Prabhanjan Ananth , Zihan Hu , Henry Yuen

Forty years ago, Wiesner pointed out that quantum mechanics raises the striking possibility of money that cannot be counterfeited according to the laws of physics. We propose the first quantum money scheme that is (1) public-key, meaning…

量子物理 · 物理学 2012-09-18 Scott Aaronson , Paul Christiano

An approach to quantum random number generation based on unambiguous quantum state discrimination (USD) is developed. We consider a prepare-and-measure protocol, where two non-orthogonal quantum states can be prepared, and a measurement…

In a quantum money scheme, a bank can issue money that users cannot counterfeit. Similar to bills of paper money, most quantum money schemes assign a unique serial number to each money state, thus potentially compromising the privacy of the…

量子物理 · 物理学 2024-11-26 Amit Behera , Or Sattath

Pseudorandom bit generators (PRBG) can be designed to take the advantage of some hard number theoretic problems such as the discrete logarithm problem (DLP). Such type of generators will have good randomness and unpredictability properties…

密码学与安全 · 计算机科学 2020-02-24 O. Reyad , M. E. Karar , K. Hamed

Random number generators (RNG) are an important resource in many areas: cryptography (both quantum and classical), probabilistic computation (Monte Carlo methods), numerical simulations, industrial testing and labeling, hazard games,…

量子物理 · 物理学 2015-05-27 Mario Stipcevic