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The ability to distribute secret keys between two parties with information-theoretic security, that is, regardless of the capacities of a malevolent eavesdropper, is one of the most celebrated results in the field of quantum information…

Quantum Physics · Physics 2015-09-01 Eleni Diamanti , Anthony Leverrier

We present a quantum algorithm for systems of (possibly inhomogeneous) linear ordinary differential equations with constant coefficients. The algorithm produces a quantum state that is proportional to the solution at a desired final time.…

Quantum Physics · Physics 2017-11-07 Dominic W. Berry , Andrew M. Childs , Aaron Ostrander , Guoming Wang

Practical implementations of Quantum Key Distribution (QKD) often deviate from the theoretical protocols, exposing the implementations to various attacks even when the underlying (ideal) protocol is proven secure. We present new analysis…

Quantum Physics · Physics 2026-02-20 Ittay Alfassi , Ran Gelles , Rotem Liss , Tal Mor

As of now, an optimal quantum algorithm solving partial differential equations eludes us. There are several different methods, each with their own strengths and weaknesses. In past years comparisons of these existing methods have been made,…

Quantum Physics · Physics 2025-12-23 Samantha Tseng , Abhyudaya Chouhan , Dominic Cupidon

We present quantum algorithms for the estimation of n-time correlation functions, the local and non-local density of states, and dynamical linear response functions. These algorithms are all based on block-encodings - a versatile technique…

Quantum Physics · Physics 2020-08-19 Patrick Rall

We introduce an algorithm for combinatorial search on quantum computers that is capable of significantly concentrating amplitude into solutions for some NP search problems, on average. This is done by exploiting the same aspects of problem…

Quantum Physics · Physics 2007-05-23 Tad Hogg

We introduce an algorithm for combinatorial search on quantum computers that is capable of significantly concentrating amplitude into solutions for some NP search problems, on average. This is done by exploiting the same aspects of problem…

Artificial Intelligence · Computer Science 2009-09-25 T. Hogg

This paper analyzes the information-theoretical security of the Differential Phase Shift (DPS) Quantum Key Distribution (QKD) protocol, using efficient computational information geometric algorithms. The DPS QKD protocol was introduced for…

Quantum Physics · Physics 2012-07-31 Laszlo Gyongyosi , Sandor Imre

The Diffie-Hellman key exchange plays a crucial role in conventional cryptography, as it allows two legitimate users to establish a common, usually ephemeral, secret key. Its security relies on the discrete-logarithm problem, which is…

Quantum Physics · Physics 2025-01-17 Georgios M. Nikolopoulos

Quantum key distribution (QKD) allows for communication with security guaranteed by quantum theory. The main theoretical problem in QKD is to calculate the secret key rate for a given protocol. Analytical formulas are known for protocols…

Quantum Physics · Physics 2016-05-24 Patrick J. Coles , Eric M. Metodiev , Norbert Lütkenhaus

Quantum key distribution (QKD) and quantum message encryption protocols promise a secure way to distribute information while detecting eavesdropping. However, current protocols may suffer from significantly reduced eavesdropping protection…

Quantum Physics · Physics 2025-05-27 Nicholas J. C. Papadopoulos , Kirby Linvill

Blockchain and other Distributed Ledger Technologies (DLTs) have evolved significantly in the last years and their use has been suggested for numerous applications due to their ability to provide transparency, redundancy and accountability.…

Cryptography and Security · Computer Science 2024-02-05 Tiago M. Fernandez-Carames , Paula Fraga-Lamas

Discrete Gaussian Sampling on lattices is a fundamental problem in lattice-based cryptography. It appears both in basic cryptographic primitives such as digital signatures and as an important cryptanalysis building block for solving hard…

Quantum Physics · Physics 2026-05-20 Clémence Chevignard , Yixin Shen , André Schrottenloher

Quantum resistance is vital for emerging cryptographic systems as quantum technologies continue to advance towards large-scale, fault-tolerant quantum computers. Resistance may be offered by quantum key distribution (QKD), which provides…

In the problem of quantum channel discrimination, one distinguishes between a given number of quantum channels, which is done by sending an input state through a channel and measuring the output state. This work studies applications of…

Quantum Physics · Physics 2022-09-08 Andrey Kardashin , Anna Vlasova , Anastasiia Pervishko , Dmitry Yudin , Jacob Biamonte

Quantum computers impose an immense threat to system security. As a countermeasure, new cryptographic classes have been created to prevent these attacks. Technologies such as post-quantum cryptography and quantum cryptography. Quantum…

Cryptography and Security · Computer Science 2025-06-04 Luiz Filipi Anderson de Sousa Moura , Carlos Becker Westphall

Blockchain transaction data exhibits high dimensionality, noise, and intricate feature entanglement, presenting significant challenges for traditional clustering algorithms. In this study, we conduct a comparative analysis of three…

Machine Learning · Computer Science 2025-05-23 Yun-Cheng Tsai , Samuel Yen-Chi Chen

Two of the most important technological advancements currently underway are the advent of quantum technologies, and the transitioning of global financial systems towards cryptographic assets, notably blockchain-based cryptocurrencies and…

Pricing of Securities · Quantitative Finance 2021-02-02 Peter P. Rohde , Vijay Mohan , Sinclair Davidson , Chris Berg , Darcy Allen , Gavin K. Brennen , Jason Potts

In recent years, quantum computing technologies have steadily matured and have begun to find practical applications across various domains. One important area is network communication security, where Quantum Key Distribution (QKD) enables…

Cryptography and Security · Computer Science 2026-02-03 Abel C. H. Chen

Quantum computers create new security risks for today's encryption systems. This paper presents an improved version of the Advanced Encryption Standard (AES) that uses quantum technology to strengthen protection. Our approach offers two…

Quantum Physics · Physics 2025-10-02 Albert Nieto-Morales , Arit Kumar Bishwas , Joel Jacob Varghese