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Quantum Shannon theory is loosely defined as a collection of coding theorems, such as classical and quantum source compression, noisy channel coding theorems, entanglement distillation, etc., which characterize asymptotic properties of…

Quantum Physics · Physics 2008-10-03 I. Devetak , A. W. Harrow , A. Winter

A communication protocol is introduced that allows the receiver of a message to place an a posteriori bound on the amount of information that an eavesdropper could have obtained during transmission of that message. This quantum…

Quantum Physics · Physics 2007-05-23 Paul A. Lopata , Thomas B. Bahder

We consider entanglement-based quantum networks where information is stored in a delocalized way within regions or the whole network. This offers a natural protection against failure of network nodes, loss and decoherence, and has built-in…

Quantum Physics · Physics 2021-09-20 Jorge Miguel-Ramiro , Wolfgang Dür

Quantum data locking is a quantum phenomenon that allows us to encrypt a long message with a small secret key with information-theoretic security. This is in sharp contrast with classical information theory where, according to Shannon, the…

Quantum Physics · Physics 2021-04-28 Zixin Huang , Peter P. Rohde , Dominic W. Berry , Pieter Kok , Jonathan P. Dowling , Cosmo Lupo

The locking effect is a phenomenon which is unique to quantum information theory and represents one of the strongest separations between the classical and quantum theories of information. The Fawzi-Hayden-Sen (FHS) locking protocol…

Quantum communication systems support unique applications in the form of distributed quantum computing, distributed quantum sensing, and several cryptographic protocols. The main enabler in these communication systems is an efficient…

Quantum Physics · Physics 2024-07-15 Seid Koudia , Leonardo Oleynik , Mert Bayraktar , Junaid ur Rehman , Symeon Chatzinotas

Uncertainty relations express the fundamental incompatibility of certain observables in quantum mechanics. Far from just being puzzling constraints on our ability to know the state of a quantum system, uncertainty relations are at the heart…

Quantum Physics · Physics 2012-08-30 Omar Fawzi

To explain conceptual gap between classical/quantum and other, hypothetical descriptions of world, several principles has been proposed. So far, all these principles have not explicitly included the uncertainty relation. Here we introduce…

Quantum Physics · Physics 2017-02-22 L. Czekaj , M. Horodecki , P. Horodecki , R. Horodecki

Entanglement distillation is a fundamental information processing task whose implementation is key to quantum communication and modular quantum computing. Noise experienced by such communication and computing platforms occurs not only in…

Quantum Physics · Physics 2025-07-29 Vikesh Siddhu , Dina Abdelhadi , Tomas Jochym-O'Connor , John Smolin

Quantum capacity quantifies the amount of quantum information that can be transmitted by a quantum channel with an arbitrary small probability of error. Mathematically, the quantum capacity is given by an asymptotic formula involving the…

Quantum Physics · Physics 2025-12-30 Zhen Wu , Zhihao Ma , James Fullwood

All information in quantum systems is, notwithstanding Bell's theorem, localised. Measuring or otherwise interacting with a quantum system S has no effect on distant systems from which S is dynamically isolated, even if they are entangled…

Quantum Physics · Physics 2007-05-23 David Deutsch , Patrick Hayden

We propose a system of information-theoretic axioms from which we derive the formalism of quantum theory. Part I is devoted to the conceptual foundations of the information-theoretic approach. We argue that this approach belongs to the…

Quantum Physics · Physics 2016-09-08 Alexei Grinbaum

We present a new scheme for the compression of one-way quantum messages, in the setting of coherent entanglement assisted quantum communication. For this, we present a new technical tool that we call the convex split lemma, which is…

Quantum Physics · Physics 2017-09-27 Anurag Anshu , Vamsi Krishna Devabathini , Rahul Jain

This work focuses on understanding the quantum message complexity of two central problems in distributed computing, namely, leader election and agreement in synchronous message-passing communication networks. We show that quantum…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-12 Fabien Dufoulon , Frédéric Magniez , Gopal Pandurangan

Quantum data locking is a unique quantum phenomenon that allows a relatively short key to (un)lock an arbitrarily long message encoded in a quantum state, in such a way that an eavesdropper who measures the state but does not know the key…

Quantum Physics · Physics 2014-12-30 Cosmo Lupo , Mark M. Wilde , Seth Lloyd

A model of quantum noisy channel with input encoding by a classical random vector is described. An equation of optimality is derived to determine a complete set of wave functions describing quantum decodings based on quasi-measurements…

Quantum Physics · Physics 2007-05-23 V. P. Belavkin , R. L. Stratonovich

We extend the notion of quantum reading to the case where the information to be retrieved, which is encoded into a set of quantum channels, is of quantum nature. We use two qubit unitaries describing the system environment interaction, with…

Quantum Physics · Physics 2024-05-14 Samad Khabbazi-Oskouei , Stefano Mancini , Milajiguli Rexiti

Shared entanglement can significantly amplify classical correlations between systems interacting over a limited quantum channel. A natural avenue is to use entanglement of the same dimension as the channel because this allows for unitary…

We propose a protocol for multipartite secret sharing of quantum information through an \textit{amplitude damping} quantum channel. This network is, for example, of two organizations communicating with their own employees connected via…

Quantum Physics · Physics 2018-01-01 Siddhant Singh , Shivang Srivastava , Prasanta K. Panigrahi

Quantum networks are composed of nodes which can send and receive quantum states by exchanging photons. Their goal is to facilitate quantum communication between any nodes, something which can be used to send secret messages in a secure…

Quantum Physics · Physics 2015-06-26 Antonio Acin , J. Ignacio Cirac , Maciej Lewenstein
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