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Related papers: Dispensing of quantum information beyond no-broadc…

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Although it is widely accepted that `no-broadcasting' -- the nonclonability of quantum information -- is a fundamental principle of quantum mechanics, an impossibility theorem for the broadcasting of general density matrices has not yet…

Quantum Physics · Physics 2009-11-13 A. Kalev , I. Hen

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

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

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

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

The no-quantum broadcasting theorem which is a weaker version of the nocloning theorem restricts us from broadcasting completely unknown quantum information to multiple users. However, if the sender is aware of the quantum information…

Quantum Physics · Physics 2023-05-02 Satish Kumar , Anirban Pathak

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

The quantum no-broadcasting theorem states that it is impossible to produce perfect copies of an arbitrary quantum state, even if the copies are allowed to be correlated. Here we show that, although quantum broadcasting cannot be achieved…

Quantum Physics · Physics 2024-03-26 Arthur J. Parzygnat , James Fullwood , Francesco Buscemi , Giulio Chiribella

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

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.…

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

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

Quantum information, though not precisely defined, is a fundamental concept of quantum information theory which predicts many fascinating phenomena and provides new physical resources. A basic problem is to recognize the features of quantum…

Quantum Physics · Physics 2007-06-13 M. Horodecki , P. Horodecki , R. Horodecki , M. Piani

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

"Broadcasting", namely distributing information over many users, suffers in-principle limitations when the information is quantum. This poses a critical issue in quantum information theory, for distributed processing and networked…

Quantum Physics · Physics 2007-05-23 Francesco Buscemi , Giacomo Mauro D'Ariano , Chiara Macchiavello , Paolo Perinotti

The quantum no-broadcasting theorem states that it is fundamentally impossible to perfectly replicate an arbitrary quantum state, even if correlations between the copies are allowed. While quantum broadcasting cannot occur through any…

Quantum Physics · Physics 2025-06-25 Yuxuan Zheng , Xinfang Nie , Hongfeng Liu , Yutong Luo , Dawei Lu , Xiangjing Liu

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

A generalization of quantum broadcasting protocol is presented. Here the goal is to copy an unknown input state into two subsystems which partially overlap. We show that the possibility of implementing these protocols strongly depends upon…

Quantum Physics · Physics 2008-07-10 V. Giovannetti , A. S. Holevo

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

We derive the optimal universal broadcasting for mixed states of qubits. We show that the nobroadcasting theorem cannot be generalized to more than a single input copy. Moreover, for four or more input copies it is even possible to purify…

Quantum Physics · Physics 2007-05-23 Giacomo Mauro D'Ariano , Chiara Macchiavello , Paolo Perinotti
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