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The main conceptual contribution of this paper is investigating quantum multiparty communication complexity in the setting where communication is \emph{oblivious}. This requirement, which to our knowledge is satisfied by all quantum…

Quantum Physics · Physics 2023-12-29 François Le Gall , Daiki Suruga

Quantum computers may achieve speedups over their classical counterparts for solving linear algebra problems. However, in some cases -- such as for low-rank matrices -- dequantized algorithms demonstrate that there cannot be an exponential…

Quantum Physics · Physics 2023-05-16 Ashley Montanaro , Changpeng Shao

The polynomial method by Beals, Buhrman, Cleve, Mosca, and de Wolf (FOCS 1998, J. ACM 2001), the adversary method by Ambainis (STOC 2000, J. Comput. Syst. Sci. 2002), and the compressed oracle method by Zhandry (CRYPTO 2019) have been shown…

Quantum Physics · Physics 2025-10-27 Qisheng Wang , Zhicheng Zhang

We investigate two senders and one receiver multiparty communication scenario. Following Phys.Rev.A83, 062112 and arXiv : 2506.07699, we study multiparty communication bounded by dimension and distinguishability. We provide an explicit…

Quantum Physics · Physics 2025-12-08 Ankush Pandit

We study randomized and quantum efficiency lower bounds in communication complexity. These arise from the study of zero-communication protocols in which players are allowed to abort. Our scenario is inspired by the physics setup of Bell…

Quantum Physics · Physics 2014-07-03 S. Laplante , V. Lerays , J. Roland

We introduce new models and new information theoretic measures for the study of communication complexity in the natural peer-to-peer, multi-party, number-in-hand setting. We prove a number of properties of our new models and measures, and…

Computational Complexity · Computer Science 2020-10-01 Adi Rosén , Florent Urrutia

Quantum correlations provide dramatic advantage over the corresponding classical resources in several communication tasks. However a broad class of probabilistic theories exists that attributes greater success than quantum theory in many of…

Quantum Physics · Physics 2020-11-09 Sutapa Saha , Some Sankar Bhattacharya , Tamal Guha , Saronath Halder , Manik Banik

We consider a model of robust learning in an adversarial environment. The learner gets uncorrupted training data with access to possible corruptions that may be affected by the adversary during testing. The learner's goal is to build a…

Machine Learning · Computer Science 2022-07-04 Idan Attias , Aryeh Kontorovich , Yishay Mansour

We prove new lower bounds for bounded error quantum communication complexity. Our methods are based on the Fourier transform of the considered functions. First we generalize a method for proving classical communication complexity lower…

Quantum Physics · Physics 2007-05-23 Hartmut Klauck

In a manner analogous to their classical counterparts, quantum classifiers are vulnerable to adversarial attacks that perturb their inputs. A promising countermeasure is to train the quantum classifier by adopting an attack-aware, or…

Quantum Physics · Physics 2024-02-16 Petros Georgiou , Sharu Theresa Jose , Osvaldo Simeone

In this thesis we explore the benefits of relativistic constraints for cryptography. We first revisit non-communicating models and its applications in the context of interactive proofs and cryptography. We propose bit commitment protocols…

Quantum Physics · Physics 2015-12-03 Jędrzej Kaniewski

By leveraging the principles of quantum mechanics, QML opens doors to novel approaches in machine learning and offers potential speedup. However, machine learning models are well-documented to be vulnerable to malicious manipulations, and…

Machine Learning · Computer Science 2024-11-12 Bacui Li , Tansu Alpcan , Chandra Thapa , Udaya Parampalli

We define a quantum model for multiparty communication complexity and prove a simulation theorem between the classical and quantum models. As a result of our simulation, we show that if the quantum k-party communication complexity of a…

Quantum Physics · Physics 2007-05-23 Iordanis Kerenidis

We give a tighter lifting theorem for security games in the quantum random oracle model. At the core of our main result lies a novel measure-and-reprogram framework that we call coherent reprogramming. This framework gives a tighter lifting…

Quantum Physics · Physics 2025-09-15 Alexandru Cojocaru , Juan Garay , Qipeng Liu , Fang Song

Quantum classifiers are vulnerable to adversarial attacks that manipulate their input classical or quantum data. A promising countermeasure is adversarial training, where quantum classifiers are trained by using an attack-aware, adversarial…

Quantum Physics · Physics 2025-04-25 Petros Georgiou , Aaron Mark Thomas , Sharu Theresa Jose , Osvaldo Simeone

Communication complexity, which quantifies the minimum communication required for distributed computation, offers a natural setting for investigating the capabilities and limitations of quantum mechanics in information processing. We…

Quantum Physics · Physics 2026-02-12 Nikolai Miklin , Prabhav Jain , Mariami Gachechiladze

We consider implementations of a bipartite unitary on many pairs of unknown input states by local operation and classical communication assisted by shared entanglement. We investigate to what extent the entanglement cost and the classical…

Quantum Physics · Physics 2014-07-21 Eyuri Wakakuwa , Mio Murao

We give a new version of the adversary method for proving lower bounds on quantum query algorithms. The new method is based on analyzing the eigenspace structure of the problem at hand. We use it to prove a new and optimal strong direct…

Quantum Physics · Physics 2007-05-23 Andris Ambainis , Robert Spalek , Ronald de Wolf

Set-disjointness problems are one of the most fundamental problems in communication complexity and have been extensively studied in past decades. Given its importance, many lower bound techniques were introduced to prove communication lower…

Computational Complexity · Computer Science 2023-09-26 Guangxu Yang , Jiapeng Zhang

We study covert classical communication over a quantum multiple-access channel (MAC) with a helper. Specifically, we consider three transmitters, where one transmitter helps the other two transmitters communicate covertly with a receiver.…

Information Theory · Computer Science 2025-12-03 Hassan ZivariFard , Rémi A. Chou , Xiaodong Wang