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Computing the classical capacity of a noisy quantum channel is crucial for understanding the limits of communication over quantum channels. However, its evaluation remains challenging due to the difficulty of computing the Holevo capacity…

Quantum Physics · Physics 2025-01-22 Chengkai Zhu , Renfeng Peng , Bin Gao , Xin Wang

We study the transmission of classical information in quantum channels. We present a decoding procedure that is very simple but still achieves the channel capacity. It is used to give an alternative straightforward proof that the classical…

Quantum Physics · Physics 2011-06-27 Seth Lloyd , Vittorio Giovannetti , Lorenzo Maccone

We discuss the capacity of quantum channels for information transmission and storage. Quantum channels have dual uses: they can be used to transmit known quantum states which code for classical information, and they can be used in a purely…

Quantum Physics · Physics 2008-12-18 C. Adami , N. J. Cerf

We propose an iterative method for approximating the capacity of classical-quantum channels with a discrete input alphabet and a finite dimensional output, possibly under additional constraints on the input distribution. Based on duality of…

Quantum Physics · Physics 2016-01-22 David Sutter , Tobias Sutter , Peyman Mohajerin Esfahani , Renato Renner

We present a new decoding protocol to realize transmission of classical information through a quantum channel at asymptotically maximum capacity, achieving the Holevo bound and thus the optimal communication rate. At variance with previous…

Quantum Physics · Physics 2016-06-16 Matteo Rosati , Vittorio Giovannetti

We present a new decoding procedure to transmit classical information in a quantum channel which, saturating asymptotically the Holevo bound, achieves the optimal rate of the communication line. Differently from previous proposals, it is…

Quantum Physics · Physics 2013-05-30 Vittorio Giovannetti , Seth Lloyd , Lorenzo Maccone

In the low-energy high-energy-efficiency regime of classical optical communications---relevant to deep-space optical channels---there is a big gap between reliable communication rates achievable via conventional optical receivers and the…

Information Theory · Computer Science 2012-09-04 Saikat Guha , Mark M. Wilde

Following initial work by Gregoratti and Werner [J. Mod. Optics 50, 913-933, 2003 and quant-ph/0403092] and Hayden and King [quant-ph/0409026], we study the problem of the capacity of a quantum channel assisted by a "friendly (channel)…

Quantum Physics · Physics 2017-08-01 Andreas Winter

The quantum capacity of a pure quantum channel and that of classical-quantum-classical channel are discussed in detail based on the fully quantum mechanical mutual entropy. It is proved that the quantum capacity generalizes the so-called…

Quantum Physics · Physics 2007-05-23 Masanori Ohya , Igor V. Volovich

We consider the transmission of classical information over a quantum channel by two senders. The channel capacity region is shown to be a convex hull bound by the Von Neumann entropy and the conditional Von Neumann entropy. We discuss some…

Quantum Physics · Physics 2009-10-31 Minxin Huang , Yongde Zhang , Guang Hou

Given a classical channel---a stochastic map from inputs to outputs---the input can often be transformed to an intermediate variable that is informationally smaller than the input. The new channel accurately simulates the original but at a…

Quantum Physics · Physics 2019-10-30 S. Loomis , J. R. Mahoney , C. Aghamohammadi , J. P. Crutchfield

Transmission of classical information using quantum objects such as polarized photons is studied. The classical (Shannon) channel capacity and its relation to quantum (von Neumann) channel capacity is investigated for various receiver…

Quantum Physics · Physics 2007-05-23 Göran Einarsson

The present work continues investigation of the capacities of measurement (quantum-classical) channels in the most general setting, initiated in~\cite{HCT}. The proof of coding theorems is given for the classical capacity and…

Quantum Physics · Physics 2014-08-15 A. A. Kuznetsova , A. S. Holevo

Optimization methods aimed at estimating the capacities of a general Gaussian channel are developed. Specifically evaluation of classical capacity as maximum of the Holevo information is pursued over all possible Gaussian encodings for the…

Quantum Physics · Physics 2012-09-12 Oleg V. Pilyavets , Cosmo Lupo , Stefano Mancini

A recent method to certify the classical capacity of quantum communication channels is applied for general damping channels in finite dimension. The method compares the mutual information obtained by coding on the computational and a…

Quantum Physics · Physics 2020-10-23 Chiara Macchiavello , Massimiliano F. Sacchi , Tito Sacchi

The one-shot classical capacity of a quantum channel quantifies the amount of classical information that can be transmitted through a single use of the channel such that the error probability is below a certain threshold. In this work, we…

Quantum Physics · Physics 2013-01-29 Ligong Wang , Renato Renner

Holevo capacity is the maximum rate at which a quantum channel can reliably transmit classical information without entanglement. However, calculating the Holevo capacity of arbitrary quantum channels is a nontrivial and computationally…

Quantum Physics · Physics 2020-03-05 Junaid ur Rehman , Youngmin Jeong , Jeong San Kim , Hyundong Shin

Known strategies for sending bits at the capacity rate over a general channel with classical input and quantum output (a cq channel) require the decoder to implement impractically complicated collective measurements. Here, we show that a…

Quantum Physics · Physics 2013-12-09 Mark M. Wilde , Olivier Landon-Cardinal , Patrick Hayden

Quantum communication holds the potential to revolutionize information transmission by enabling secure data exchange that exceeds the limits of classical systems. One of the key performance metrics in quantum information theory, namely the…

Quantum Physics · Physics 2026-02-20 Hong Niu , Chau Yuen , Alexei Ashikhmin , Lajos Hanzo

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
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