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Recent oracle separations [Kretschmer, TQC'21, Kretschmer et. al., STOC'23] have raised the tantalizing possibility of building quantum cryptography from sources of hardness that persist even if the polynomial hierarchy collapses. We…

Quantum Physics · Physics 2024-10-11 Dakshita Khurana , Kabir Tomer

This note is an attempt to unconditionally prove the existence of weak one way functions (OWF). Starting from a provably intractable decision problem $L_D$ (whose existence is nonconstructively assured from the well-known discrete…

Computational Complexity · Computer Science 2023-07-19 Stefan Rass

The lack of perfect randomness can cause significant problems in securing communication between two parties. McInnes and Pinkas proved that unconditionally secure encryption is impossible when the key is sampled from a weak random source.…

Quantum Physics · Physics 2012-02-20 J. Bouda , M. Pivoluska , M. Plesch

The Vernam cipher (or one-time pad) has played an important rule in cryptography because it is a perfect secrecy system. For example, if an English text (presented in binary system) $X_1 X_2 ... $ is enciphered according to the formula $Z_i…

Cryptography and Security · Computer Science 2013-03-12 Boris Ryabko

Quantum information is a valuable resource which can be encrypted in order to protect it. We consider the size of the one-time pad that is needed to protect quantum information in a number of cases. The situation is dramatically different…

Quantum Physics · Physics 2009-11-10 Jonathan Oppenheim , Michal Horodecki

The One-time-pad (OTP) was mathematically proven to be perfectly secure by Shannon in 1949. We propose to extend the classical OTP from an n-bit finite field to the entire symmetric group over the finite field. Within this context the…

Quantum Physics · Physics 2023-02-16 Randy Kuang , Nicolas Bettenburg

Developing new ways to estimate probabilities can be valuable for science, statistics, and engineering. By considering the information content of different output patterns, recent work invoking algorithmic information theory has shown that…

Computational Complexity · Computer Science 2022-07-26 Mohamed Alaskandarani , Kamaludin Dingle

Information security is a crucial need in the modern world. Data security is a real concern, and many customers and organizations need to protect their sensitive information from unauthorized parties and attackers. In previous years,…

Cryptography and Security · Computer Science 2023-07-19 Sara Benatmane , Nuh Aydin , Behloul Djilali , Prokash Barman

Random access coding is an information task that has been extensively studied and found many applications in quantum information. In this scenario, Alice receives an $n$-bit string $x$, and wishes to encode $x$ into a quantum state…

Quantum Physics · Physics 2016-09-07 André Chailloux , Iordanis Kerenidis , Srijita Kundu , Jamie Sikora

Time-based one-time password (TOTP) systems in use today require storing secrets on both the client and the server. As a result, an attack on the server can expose all second factors for all users in the system. We present T/Key, a…

Cryptography and Security · Computer Science 2017-08-29 Dmitry Kogan , Nathan Manohar , Dan Boneh

Quantum data locking is a protocol that allows for a small secret key to (un)lock an exponentially larger amount of information, hence yielding the strongest violation of the classical one-time pad encryption in the quantum setting. This…

Quantum Physics · Physics 2014-10-21 Cosmo Lupo , Seth Lloyd

This paper is an attempt to incorporate the idea of spiking neural P systems as an early seed into the area of Operating System Design, regarding their capability to solve some classical computer science problems. It is reflecting the power…

Other Computer Science · Computer Science 2010-12-03 Ammar Adl , Amr Badr , Ibrahim Farag

The standard definition of quantum state randomization, which is the quantum analog of the classical one-time pad, consists in applying some transformation to the quantum message conditioned on a classical secret key $k$. We investigate…

Quantum Physics · Physics 2008-10-13 Akinori Kawachi , Christopher Portmann

A pseudorandom code is a keyed error-correction scheme with the property that any polynomial number of encodings appear random to any computationally bounded adversary. We show that the pseudorandomness of any code tolerating a constant…

Cryptography and Security · Computer Science 2025-10-01 Sanjam Garg , Sam Gunn , Mingyuan Wang

Unitary $t$-designs are the bread and butter of quantum information theory and beyond. An important issue in practice is that of efficiently constructing good approximations of such unitary $t$-designs. Building on results by Aubrun (Comm.…

Quantum Physics · Physics 2020-09-02 Cécilia Lancien , Christian Majenz

This paper talk about the complexity of computation by Turing Machine. I take attention to the relation of symmetry and order structure of the data, and I think about the limitation of computation time. First, I make general problem named…

Computational Complexity · Computer Science 2010-09-24 Koji Kobayashi

Since many real-world problems arising in the fields of compiler optimisation, automated software engineering, formal proof systems, and so forth are equivalent to the Halting Problem--the most notorious undecidable problem--there is a…

Information Theory · Computer Science 2007-07-13 Cristian S. Calude , Michael A. Stay

A possible mechanism of time is formulated by developing an idea of time replaced by quantum correlations, with the aid of modern quantum information theory. We invent a microscopic model, where correlations of a closed system are steadily…

Quantum Physics · Physics 2011-11-14 Akimasa Miyake

We construct simulation-secure one-time memories (OTM) in the random oracle model, and present a plausible argument for their security against quantum adversaries with bounded and adaptive depth. Our contributions include: (1) A simple…

Quantum Physics · Physics 2026-03-17 Lev Stambler

This paper shows that, if we could examine the entire history of a hidden variable, then we could efficiently solve problems that are believed to be intractable even for quantum computers. In particular, under any hidden-variable theory…

Quantum Physics · Physics 2007-05-23 Scott Aaronson