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Quantum computers are analog devices; thus they are highly susceptible to accumulative errors arising from classical control electronics. Fast operation--as necessitated by decoherence--makes gating errors very likely. In most current…

Quantum Physics · Physics 2009-11-07 Mark Friesen , Robert Joynt , M. A. Eriksson

Post-quantum cryptography currently rests on a small number of hardness assumptions, posing significant risks should any one of them be compromised. This vulnerability motivates the search for new and cryptographically versatile assumptions…

Quantum Physics · Physics 2026-03-20 Jonathan Z. Lu , Alexander Poremba , Yihui Quek , Akshar Ramkumar

Uncloneable encryption is a cryptographic primitive which encrypts a classical message into a quantum ciphertext, such that two quantum adversaries are limited in their capacity of being able to simultaneously decrypt, given the key and…

Quantum Physics · Physics 2024-10-31 Pierre Botteron , Anne Broadbent , Eric Culf , Ion Nechita , Clément Pellegrini , Denis Rochette

Pseudo-random number generators are widely used in many branches of science, mainly in applications related to Monte Carlo methods, although they are deterministic in design and, therefore, unsuitable for tackling fundamental problems in…

We study the computational power of polynomial threshold functions, that is, threshold functions of real polynomials over the boolean cube. We provide two new results bounding the computational power of this model. Our first result shows…

Computational Complexity · Computer Science 2009-11-29 Ido Ben-Eliezer , Shachar Lovett , Ariel Yadin

Constructions of locally decodable codes (LDCs) have one of two undesirable properties: low rate or high locality (polynomial in the length of the message). In settings where the encoder/decoder have already exchanged cryptographic keys and…

Cryptography and Security · Computer Science 2020-06-08 Jeremiah Blocki , Shubhang Kulkarni , Samson Zhou

An arbitrarily reliable quantum computer can be efficiently constructed from noisy components using a recursive simulation procedure, provided that those components fail with probability less than the fault-tolerance threshold. Recent…

Quantum Physics · Physics 2013-04-03 K. M. Svore , A. W. Cross , I. L. Chuang , A. V. Aho

The present paper proposes a new and systematic approach to the so-called black box group methods in computational group theory. Instead of a single black box, we consider categories of black boxes and their morphisms. This makes new…

Group Theory · Mathematics 2014-05-06 Alexandre Borovik , Şükrü Yalçinkaya

Weak coin flipping is a cryptographic primitive in which two mutually distrustful parties generate a shared random bit to agree on a winner via remote communication. While a stand-alone secure weak coin flipping protocol can be constructed…

Quantum Physics · Physics 2025-06-25 Jiawei Wu , Yanglin Hu , Akshay Bansal , Marco Tomamichel

This work presents a novel, black-box software-based countermeasure against physical attacks including power side-channel and fault-injection attacks. The approach uses the concept of random self-reducibility and self-correctness to add…

We consider the task of constructing pseudorandom unitaries (PRUs) with scalable security, i.e. families in which the security parameter may vary independently of the dimension (or input bit-length). It is not known whether scalable PRUs…

Quantum Physics · Physics 2026-05-12 Zvika Brakerski , Henry Yuen

Random linear codes (RLCs) are well known to have nice combinatorial properties and near-optimal parameters in many different settings. However, getting explicit constructions matching the parameters of RLCs is challenging, and RLCs are…

Information Theory · Computer Science 2023-08-31 Xue Chen , Kuan Cheng , Xin Li , Songtao Mao

Many protocols in distributed computing rely on a source of randomness, usually called a random beacon, both for their applicability and security. This is especially true for proof-of-stake blockchain protocols in which the next miner or…

Cryptography and Security · Computer Science 2023-09-21 Zhuo Cai

Although good encryption functions are probabilistic, most symbolic models do not capture this aspect explicitly. A typical solution, recently used to prove the soundness of such models with respect to computational ones, is to explicitly…

Cryptography and Security · Computer Science 2016-08-16 Véronique Cortier , Heinrich Hördegen , Bogdan Warinschi

Transversal gates play an important role in the theory of fault-tolerant quantum computation due to their simplicity and robustness to noise. By definition, transversal operators do not couple physical subsystems within the same code block.…

Quantum Physics · Physics 2009-11-13 Bryan Eastin , Emanuel Knill

The constant-time property is considered the security standard for cryptographic code. Code following the constant-time discipline is free from secret-dependent branches and memory accesses, and thus avoids leaking secrets through cache and…

Cryptography and Security · Computer Science 2023-11-13 Matthew Kolosick , Basavesh Ammanaghatta Shivakumar , Sunjay Cauligi , Marco Patrignani , Marco Vassena , Ranjit Jhala , Deian Stefan

We introduce the pseudorandom quantum authentication scheme (PQAS), an efficient method for encrypting quantum states that relies solely on the existence of pseudorandom unitaries (PRUs). The scheme guarantees that for any eavesdropper with…

Quantum Physics · Physics 2025-01-03 Tobias Haug , Nikhil Bansal , Wai-Keong Mok , Dax Enshan Koh , Kishor Bharti

A few conventions for thinking about and writing quantum pseudocode are proposed. The conventions can be used for presenting any quantum algorithm down to the lowest level and are consistent with a quantum random access machine (QRAM) model…

Quantum Physics · Physics 2022-11-07 E. Knill

The likelihood encoder with a random codebook is demonstrated as an effective tool for source coding. Coupled with a soft covering lemma (associated with channel resolvability), likelihood encoders yield simple achievability proofs for…

Information Theory · Computer Science 2013-08-01 Paul Cuff , Eva C. Song

Pseudorandom quantum states (PRS) are efficiently constructible states that are computationally indistinguishable from being Haar-random, and have recently found cryptographic applications. We explore new definitions, new properties and…

Quantum Physics · Physics 2023-06-12 Prabhanjan Ananth , Aditya Gulati , Luowen Qian , Henry Yuen