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Recently, several approaches to solving linear systems on a quantum computer have been formulated in terms of the quantum adiabatic theorem for a continuously varying Hamiltonian. Such approaches enabled near-linear scaling in the condition…

Quantum Physics · Physics 2021-11-17 Pedro C. S. Costa , Dong An , Yuval R. Sanders , Yuan Su , Ryan Babbush , Dominic W. Berry

We propose a coin-flip protocol which yields a string of strong, random coins and is fully simulatable against poly-sized quantum adversaries on both sides. It can be implemented with quantum-computational security without any set-up…

Quantum Physics · Physics 2015-03-18 Carolin Lunemann , Jesper Buus Nielsen

Scarf's algorithm gives a pivoting procedure to find a special vertex -- a dominating vertex -- in down-monotone polytopes. This paper studies the behavior of Scarf's algorithm when employed to find stable matchings in bipartite graphs.…

Combinatorics · Mathematics 2023-03-03 Yuri Faenza , Chengyue He , Jay Sethuraman

We define an isomorphism between the group of points of a conic and the set of integers modulo a prime equipped with a non-standard product. This product can be efficiently evaluated through the use of R\'edei rational functions. We then…

Information Theory · Computer Science 2016-01-28 Emanuele Bellini , Nadir Murru

The widely held belief that BQP strictly contains BPP raises fundamental questions: Upcoming generations of quantum computers might already be too large to be simulated classically. Is it possible to experimentally test that these systems…

Quantum Physics · Physics 2008-11-18 Dorit Aharonov , Michael Ben-Or , Elad Eban

The no-go theorem regarding unconditionally secure Quantum Bit Commitment protocols is a relevant result in quantum cryptography. Such result has been used to prove the impossibility of unconditional security for other protocols, such as…

Quantum Physics · Physics 2024-01-12 Silvia Onofri , Vittorio Giovannetti

In device-independent quantum key distribution (DIQKD), an adversary prepares a device consisting of two components, distributed to Alice and Bob, who use the device to generate a secure key. The security of existing DIQKD schemes holds…

Quantum Physics · Physics 2022-08-01 Tony Metger , Yfke Dulek , Andrea Coladangelo , Rotem Arnon-Friedman

We study the two-party communication complexity of functions with large outputs, and show that the communication complexity can greatly vary depending on what output model is considered. We study a variety of output models, ranging from the…

Computational Complexity · Computer Science 2023-04-04 Lila Fontes , Sophie Laplante , Mathieu Lauriere , Alexandre Nolin

Secure multi-party computation is a central problem in modern cryptography. An important sub-class of this are problems of the following form: Alice and Bob desire to produce sample(s) of a pair of jointly distributed random variables. Each…

Information Theory · Computer Science 2010-02-10 Vinod Prabhakaran , Manoj Prabhakaran

Mechanistic interpretability of transformers requires identifying not just which components matter but how they compose into the computational route that produced a prediction. Both attention and MLP follow a shared key-value template…

Machine Learning · Computer Science 2026-05-25 Po-Kai Chen , Niki van Stein , Aske Plaat

Secure multi-party computing, also called "secure function evaluation", has been extensively studied in classical cryptography. We consider the extension of this task to computation with quantum inputs and circuits. Our protocols are…

Quantum Physics · Physics 2007-05-23 Claude Crepeau , Daniel Gottesman , Adam Smith

In this paper, we introduce two algorithms that solve the mutual exclusion problem for concurrent processes that communicate through shared variables, [2]. Our algorithms guarantee that any process trying to enter the critical section,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-26 Jordi Bataller Mascarell

The "Ping-Pong" (PP) protocol is a two-way quantum key protocol based on entanglement. In this protocol, Bob prepares one maximally entangled pair of qubits, and sends one qubit to Alice. Then, Alice performs some necessary operations on…

Quantum Physics · Physics 2014-05-14 Yun-Guang Han , Zhen-Qiang Yin , Hong-Wei Li , Wei Chen , Shuang Wang , Guang-Can Guo , Zheng-Fu Han

We present a robust and composable device-independent (DI) quantum protocol between two parties for oblivious transfer (OT) using Magic Square devices in the bounded storage model in which the (honest and cheating) devices and parties have…

Quantum Physics · Physics 2026-04-13 Rishabh Batra , Sayantan Chakraborty , Rahul Jain , Upendra Kapshikar

A $\lambda$-calculus is introduced in which all programs can be evaluated in probabilistic polynomial time and in which there is sufficient structure to represent sequential cryptographic constructions and adversaries for them, even when…

Programming Languages · Computer Science 2024-10-24 Ugo Dal Lago , Zeinab Galal , Giulia Giusti

We consider a two-user secure computation problem in which Alice and Bob communicate interactively in order to compute some deterministic functions of the inputs. The privacy requirement is that each user should not learn any additional…

Information Theory · Computer Science 2020-05-12 Gowtham R. Kurri , Vinod M. Prabhakaran

We initiate the systematic study of QMA algorithms in the setting of property testing, to which we refer as QMA proofs of proximity (QMAPs). These are quantum query algorithms that receive explicit access to a sublinear-size untrusted proof…

Quantum Physics · Physics 2022-10-17 Marcel Dall'Agnol , Tom Gur , Subhayan Roy Moulik , Justin Thaler

We construct efficient data structures that are resilient against a constant fraction of adversarial noise. Our model requires that the decoder answers most queries correctly with high probability and for the remaining queries, the decoder…

Data Structures and Algorithms · Computer Science 2010-01-27 Victor Chen , Elena Grigorescu , Ronald de Wolf

A recently proposed authenticated key agreement protocol is shown to be insecure. In particular, one of the two parties is not authenticated, allowing an active man in the middle opponent to replay old messages. The protocol is essentially…

Cryptography and Security · Computer Science 2019-06-25 Chris J Mitchell

In Byzantine agreement with predictions each process begins with an input value and some (unreliable) prediction bits. Recently, it has been shown that with \emph{classification predictions} -- where the predictions predict each process to…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-14 Muhammad Ayaz Dzulfikar , Seth Gilbert