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Classical and quantum information theory are simply explained. To be more specific it is clarified why Shannon entropy is used as measure of classical information and after a brief review of quantum mechanics it is possible to demonstrate…

Quantum Physics · Physics 2007-05-23 Nikolaos P. Papadakos

We consider a wiretap channel and use previously transmitted messages to generate a secret key which increases the secrecy capacity. This can be bootstrapped to increase the secrecy capacity to the Shannon capacity without using any…

Information Theory · Computer Science 2016-11-15 Shahid Mehraj Shah , Parameswaran S , Vinod Sharma

A classical one-time pad allows two parties to send private messages over a public classical channel -- an eavesdropper who intercepts the communication learns nothing about the message. A quantum one-time pad is a shared quantum state…

Quantum Physics · Physics 2012-01-31 Fernando G. S. L. Brandão , Jonathan Oppenheim

We study quantum channels that vary on time in a deterministic way, that is, they change in an independent but not identical way from one to another use. We derive coding theorems for the classical entanglement assisted and unassisted…

Quantum Physics · Physics 2021-02-05 Samad Khabbazi Oskouei , Stefano Mancini

When a noisy communication channel is used multiple times, the errors occurring at different times generally exhibit correlations. Classically, these correlations do not affect the evolution of individual particles: a single classical…

Quantum Physics · Physics 2021-12-07 Hlér Kristjánsson , Wenxu Mao , Giulio Chiribella

We determine both the quantum and the private capacities of low-noise quantum channels to leading orders in the channel's distance to the perfect channel. It has been an open problem for more than 20 years to determine the capacities of…

Quantum Physics · Physics 2023-12-06 Felix Leditzky , Debbie Leung , Graeme Smith

Passive environment assisted communication takes place via a quantum channel modeled as a unitary interaction between the information carrying system and an environment, where the latter is controlled by a passive helper, who can set its…

Quantum Physics · Physics 2021-12-28 Samad Khabbazi Oskouei , Stefano Mancini , Andreas Winter

Estimating the information transmission capability of a quantum channel remains one of the fundamental problems in quantum information processing. In contrast to classical channels, the information-carrying capability of quantum channels is…

Quantum Physics · Physics 2024-07-26 Aditya Nema , Ananda G. Maity , Sergii Strelchuk , David Elkouss

If a sender and a receiver lack precise knowledge about the communication line that connects them, designing a scheme to reliably transmit information becomes more challenging. This has been studied in classical and quantum information…

Quantum Physics · Physics 2024-08-27 Paula Belzig

The set of Multi-level Amplitude Damping (MAD) quantum channels is introduced as a generalization of the standard qubit Amplitude Damping Channel to quantum systems of finite dimension $d$. In the special case of $d=3$, by exploiting…

Quantum Physics · Physics 2021-03-03 Stefano Chessa , Vittorio Giovannetti

We establish a universal complementarity relation between the capacity of classical information transmission by employing a multiparty quantum state as a multiport quantum channel, and the genuine multipartite entanglement of the quantum…

Quantum Physics · Physics 2013-10-30 R. Prabhu , Aditi Sen De , Ujjwal Sen

We show that for the tensor product of an entanglement-breaking quantum channel with an arbitrary quantum channel, both the minimum entropy of an output of the channel and the Holevo-Schumacher-Westmoreland capacity are additive. In…

Quantum Physics · Physics 2015-06-26 Peter W. Shor

Non-classical features of quantum systems have the potential to strengthen the way we currently exchange information. In this paper, we explore this enhancement on the most basic level of single particles. To be more precise, we compare how…

Quantum Physics · Physics 2024-09-25 Xinan Chen , Yujie Zhang , Andreas Winter , Virginia O. Lorenz , Eric Chitambar

We study the problem of decoding classical information encoded on quantum states at the output of a quantum channel, with particular focus on increasing the communication rates towards the maximum allowed by Quantum Mechanics. After a brief…

Quantum Physics · Physics 2017-10-25 Matteo Rosati

We consider the problem of coding for quantum channels with side information that is available ahead of time at the transmitter but not at the receiver. We find a single-letter expression for the entanglement-assisted quantum capacity of…

Quantum Physics · Physics 2017-08-14 Frédéric Dupuis

We consider communication between two parties using a bipartite quantum operation, which constitutes the most general quantum mechanical model of two-party communication. We primarily focus on the simultaneous forward and backward…

Quantum Physics · Physics 2014-11-18 Andrew M. Childs , Debbie W. Leung , Hoi-Kwong Lo

We derive universal codes for simultaneous transmission of classical messages and entanglement through quantum channels, possibly under attack of a malignant third party. These codes are robust to different kinds of channel uncertainty. To…

Mathematical Physics · Physics 2019-03-27 Holger Boche , Gisbert Janßen , Sajad Saeedinaeeni

We investigate how a classical private key can be used by two players, connected by an insecure one-way quantum channel, to perform private communication of quantum information. In particular we show that in order to transmit n qubits…

Quantum Physics · Physics 2007-05-23 Michele Mosca , Alain Tapp , Ronald de Wolf

Most coding theorems in quantum Shannon theory can be proven using the decoupling technique: to send data through a channel, one guarantees that the environment gets no information about it; Uhlmann's theorem then ensures that the receiver…

Quantum Physics · Physics 2014-07-16 Frédéric Dupuis , Oleg Szehr , Marco Tomamichel

The zero-error classical capacity of a quantum channel is the asymptotic rate at which it can be used to send classical bits perfectly, so that they can be decoded with zero probability of error. We show that there exist pairs of quantum…

Quantum Physics · Physics 2012-01-31 Toby S. Cubitt , Jianxin Chen , Aram W. Harrow