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The agenda of quantum algorithmic information theory, ordered `top-down,' is the quantum halting amplitude, followed by the quantum algorithmic information content, which in turn requires the theory of quantum computation. The fundamental…

Quantum Physics · Physics 2007-05-23 Karl Svozil

Logical atomicity has been widely accepted as a specification format for data structures in concurrent separation logic. While both lock-free and lock-based data structures have been verified against logically atomic specifications, most of…

Programming Languages · Computer Science 2023-04-28 Roshan Sharma , Shengyi Wang , Alexander Oey , Anastasiia Evdokimova , Lennart Beringer , William Mansky

General approach to the multiplication or adjoint operation of $2\times 2$ block operator matrices with unbounded entries are founded. Furthermore, criteria for self-adjointness of block operator matrices based on their entry operators are…

Functional Analysis · Mathematics 2014-04-01 Guohai Jin , Alatancang Chen

Elliptic curve cryptography (ECC) is foundational to modern secure communication, yet existing standard curves have faced scrutiny for opaque parameter-generation practices. This work introduces a Selmer-inspired framework for constructing…

Cryptography and Security · Computer Science 2025-10-06 Awnon Bhowmik

In this work, we show that 'splitting of quantum information' [6] is an impossible task from three different but consistent principles of unitarity of Quantum Mechanics, no-signalling condition and non increase of entanglement under Local…

Quantum Physics · Physics 2009-11-13 Indranil Chakrabarty , S. Adhikari , Prashant , B. S. Choudhury

The practical construction of scalable quantum computer hardware capable of executing non-trivial quantum algorithms will require the juxtaposition of different types of quantum systems. We analyze a modular ion trap quantum computer…

Quantum Physics · Physics 2014-02-19 C. Monroe , R. Raussendorf , A. Ruthven , K. R. Brown , P. Maunz , L. -M. Duan , J. Kim

P vs NP problem is the most important unresolved problem in the field of computational complexity. Its impact has penetrated into all aspects of algorithm design, especially in the field of cryptography. The security of cryptographic…

Computational Complexity · Computer Science 2026-05-01 Gao Ming

We make a detailed analysis of error mechanisms, gate fidelity, and scalability of proposals for quantum computation with neutral atoms in addressable (large lattice constant) optical lattices. We have identified possible limits to the size…

Quantum Physics · Physics 2008-05-10 Travis R. Beals , Jiri Vala , K. Birgitta Whaley

We present authorized quantum computation, where only a user with a non-cloneable quantum authorization key can perform a unitary operation created by an authenticated programmer. The security of our authorized quantum computation is based…

Quantum Physics · Physics 2009-03-13 Yu Tanaka , Mio Murao

In this short letter we present the construction of a bi-stochastic kernel p for an arbitrary data set X that is derived from an asymmetric affinity function {\alpha}. The affinity function {\alpha} measures the similarity between points in…

Classical Analysis and ODEs · Mathematics 2013-07-15 Ronald R. Coifman , Matthew J. Hirn

Privacy-minded Internet service operators anonymize IPv6 addresses by truncating them to a fixed length, perhaps due to long-standing use of this technique with IPv4 and a belief that it's "good enough." We claim that simple anonymization…

Networking and Internet Architecture · Computer Science 2017-07-14 David Plonka , Arthur Berger

Motivated by the recently shown connection between self-attention and (kernel) principal component analysis (PCA), we revisit the fundamentals of PCA. Using the difference-of-convex (DC) framework, we present several novel formulations and…

Machine Learning · Computer Science 2025-10-22 Jan Quan , Johan Suykens , Panagiotis Patrinos

We study the potential of general quantum operations, Trace-Preserving Completely-Positive Maps (TPCPs), as encoding and decoding mechanisms in quantum authentication protocols. The study shows that these general operations do not offer…

Post-quantum cryptography is essential for securing digital communications against threats posed by quantum computers. Re-searchers have focused on developing algorithms that can withstand attacks from both classical and quantum computers,…

Cryptography and Security · Computer Science 2025-01-22 Juan Pedro Hecht , Hugo Daniel Scolnik

The future of main memory appears to lie in the direction of new non-volatile memory technologies that provide strong capacity-to-performance ratios, but have write operations that are much more expensive than reads in terms of energy,…

Data Structures and Algorithms · Computer Science 2018-06-28 Yan Gu , Yihan Sun , Guy E. Blelloch

Semi-empirical quantum chemistry has recently seen a renaissance with applications in high-throughput virtual screening and machine learning. The simplest semi-empirical model still in widespread use in chemistry is H\"uckel's…

Chemical Physics · Physics 2024-11-08 R. A. Vargas-Hernández , K. Jorner , R. Pollice , A. Aspuru-Guzik

Recently, Aaronson et al. (arXiv:2009.07450) showed that detecting interference between two orthogonal states is as hard as swapping these states. While their original motivation was from quantum gravity, we show its applications in quantum…

Quantum Physics · Physics 2023-04-25 Minki Hhan , Tomoyuki Morimae , Takashi Yamakawa

Despite significant advances, deep networks remain highly susceptible to adversarial attack. One fundamental challenge is that small input perturbations can often produce large movements in the network's final-layer feature space. In this…

Machine Learning · Computer Science 2023-04-20 Maria-Florina Balcan , Avrim Blum , Dravyansh Sharma , Hongyang Zhang

A cryptographic algorithm is proposed based on fully quantum mechanical keys and ciphers. Encryption and decryption are carried out via an appropriate measurement process on entangled states as governed by a quantum mechanical, asymmetrical…

Quantum Physics · Physics 2007-05-23 Guihua Zeng , Carlos Saavedra , Christoph H. Keitel

Cancelable biometric schemes aim at generating secure biometric templates by combining user specific tokens, such as password, stored secret or salt, along with biometric data. This type of transformation is constructed as a composition of…

Cryptography and Security · Computer Science 2022-07-19 Axel Durbet , Pascal Lafourcade , Denis Migdal , Kevin Thiry-Atighehchi , Paul-Marie Grollemund
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