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Related papers: The No-Broadcasting Theorem and its Classical Coun…

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We prove a generalized version of the no-broadcasting theorem, applicable to essentially \emph{any} nonclassical finite-dimensional probabilistic model satisfying a no-signaling criterion, including ones with ``super-quantum'' correlations.…

Quantum Physics · Physics 2008-11-06 Howard Barnum , Jonathan Barrett , Matthew Leifer , Alexander Wilce

No-broadcasting theorem is one of the most fundamental results in quantum information theory; it guarantees that the simplest attacks on any quantum protocol, based on eavesdropping and copying of quantum information, are impossible. Due to…

Quantum Physics · Physics 2023-04-12 Teiko Heinosaari , Anna Jenčová , Martin Plávala

We prove generic versions of the no-cloning and no-broadcasting theorems, applicable to essentially {\em any} non-classical finite-dimensional probabilistic model that satisfies a no-signaling criterion. This includes quantum theory as well…

Quantum Physics · Physics 2007-05-23 Howard Barnum , Jonathan Barrett , Matthew Leifer , Alexander Wilce

The no-broadcasting theorem is a fundamental result in quantum information theory. It guarantees that a class of attacks on quantum protocols, based on eavesdropping and indiscriminate copying of quantum information, are impossible. Due to…

Quantum Physics · Physics 2026-03-20 Adrian Solymos , Carlos Vieira , Cristhiano Duarte , Zoltán Zimborás

Quantum information cannot be broadcast -- an intrinsic limitation imposed by quantum mechanics. However, recent advances in virtual operations offer new insights into the no-broadcasting theorem. Here, we focus on the practical utility and…

Quantum Physics · Physics 2025-09-30 Yunlong Xiao , Xiangjing Liu , Zhenhuan Liu

The quantum no-broadcasting theorem has an analogue in modal quantum theory (MQT), a toy model based on finite fields. The failure of broadcasting in MQT is related to the failure of distributivity of the lattice of subspaces of the state…

Quantum Physics · Physics 2023-04-27 Phillip Diamond , Benjamin Schumacher , Michael D. Westmoreland

The no-cloning theorem leads to information-theoretic security in various quantum cryptographic protocols. However, this security typically derives from a possibly weaker property that classical information encoded in certain quantum states…

Quantum Physics · Physics 2025-09-29 Ian George , Rene Allerstorfer , Philip Verduyn Lunel , Eric Chitambar

We prove that the correlations present in a multipartite quantum state have an \emph{operational} quantum character as soon as the state does not simply encode a multipartite classical probability distribution, i.e. does not describe the…

Quantum Physics · Physics 2008-05-09 Marco Piani , Pawel Horodecki , Ryszard Horodecki

Symmetries of both closed and open-system dynamics imply many significant constraints. These generally have instantiations in both classical and quantum dynamics (Noether's theorem, for instance, applies to both sorts of dynamics). We here…

Quantum Physics · Physics 2020-11-03 Iman Marvian , Robert W. Spekkens

We show that, given a general mixed state for a quantum system, there are no physical means for {\it broadcasting\/} that state onto two separate quantum systems, even when the state need only be reproduced marginally on the separate…

Quantum Physics · Physics 2009-10-28 H. Barnum , C. M. Caves , C. A. Fuchs , R. Jozsa , B. Schumacher

Operational contextuality forms a rapidly developing subfield of quantum information theory. However, the characterization of the quantum mechanical entities that fuel the phenomenon has remained unknown with many partial results existing.…

In quantum theory, the no-information-without-disturbance and no-free-information theorems express that those observables that do not disturb the measurement of another observable and those that can be measured jointly with any other…

Quantum Physics · Physics 2019-07-10 Teiko Heinosaari , Leevi Leppäjärvi , Martin Plávala

Linearity and unitarity are two fundamental tenets of quantum theory. Any consequence that follows from these must be respected in the quantum world. The no-cloning theorem and the no-deleting theorem are the consequences of the linearity…

Quantum Physics · Physics 2012-04-18 Jharana Rani Samal , Arun Kumar Pati , Anil Kumar

Two of the fundamental no-go theorems of quantum information are the no-cloning theorem (that it is impossible to make copies of general quantum states) and the no-teleportation theorem (the prohibition on telegraphing, or sending quantum…

Quantum Physics · Physics 2024-10-22 Barak Nehoran , Mark Zhandry

The no-broadcasting theorem, a fundamental limitation on the communication of quantum information, holds that a physical process cannot broadcast copies of an unknown quantum state to two or more receivers. Recent work has explored ways of…

Quantum Physics · Physics 2026-03-23 Matthew Simon Tan , Davit Aghamalyan , Varun Narasimhachar

Incorporating sample efficiency, by requiring the number of states consumed by broadcasting does not exceed that of a naive prepare-and-distribute strategy, gives rise to the no practical quantum broadcasting theorem. To navigate this…

Quantum Physics · Physics 2026-03-20 Ximing Wang , Yunlong Xiao

Quantum theory can be regarded as a non-commutative generalization of classical probability. From this point of view, one expects quantum dynamics to be analogous to classical conditional probabilities. In this paper, a variant of the…

Quantum Physics · Physics 2007-05-23 M. S. Leifer

A common way of stating the non-cloning theorem -- one of distinguishing characteristics of quantum theory -- is that one cannot make a copy of an arbitrary unknown quantum state. Even though this theorem is an important part of the ongoing…

Quantum Physics · Physics 2019-05-17 Arkady Bolotin

The no-communication theorem states that the observation of a subsystem of an entangled state does not affect another subsystem. Nevertheless, this theorem is based on the assumption that all quantum processes are unitary. We examine a…

General Physics · Physics 2019-04-18 Riuji Mochizuki

It has been claimed in the literature that impossibility of faster-than-light quantum communication has an origin of indistinguishability of ensembles with the same density matrix. We show that the two concepts are not related. We argue…

Quantum Physics · Physics 2015-06-26 Chuan Wang , Gui Lu Long , Yang Sun
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