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Activation of quantum capacity is a surprising phenomenon according to which the quantum capacity of a certain channel may increase by combining it with another channel with zero quantum capacity. Superactivation describes an even more…

量子物理 · 物理学 2019-03-29 Youngrong Lim , Ryuji Takagi , Gerardo Adesso , Soojoon Lee

Quantum queue-channels arise naturally in the context of buffering in quantum networks, wherein the noise suffered by the quantum states depends on the time spent waiting in the buffer. It has been shown that the upper-bound on the…

The transmission of classical information over a classical channel gave rise to the classical capacity theorem with the optimal rate in terms of the classical mutual information. Despite classical information being a subset of quantum…

量子物理 · 物理学 2023-09-26 Zahra Baghali Khanian

The maximum rates for information transmission through noisy quantum channels has primarily been developed for memoryless channels, where the noise on each transmitted state is treated as independent. Many real world communication channels…

量子物理 · 物理学 2009-11-10 Garry Bowen , Igor Devetak , Stefano Mancini

We investigate the classical capacity of two quantum channels with memory: a periodic channel with depolarizing channel branches, and a convex combination of depolarizing channels. We prove that the capacity is additive in both cases. As a…

量子物理 · 物理学 2009-11-13 Tony Dorlas , Ciara Morgan

We prove polarization theorems for arbitrary classical-quantum (cq) channels. The input alphabet is endowed with an arbitrary Abelian group operation and an Ar{\i}kan-style transformation is applied using this operation. It is shown that as…

信息论 · 计算机科学 2018-11-26 Rajai Nasser , Joseph M. Renes

We analyse the role of entanglement for transmission of classical information through a memoryless depolarising channel. Using the isotropic character of this channel we prove analytically that the mutual information cannot be increased by…

量子物理 · 物理学 2015-06-26 D. Bruss , L. Faoro , C. Macchiavello , M. Palma

When classical or quantum information is broadcast to separate receivers, there exist codes that encrypt the encoded data such that the receivers cannot recover it when performing local operations and classical communication, but they can…

量子物理 · 物理学 2016-05-31 Cosmo Lupo , Mark M. Wilde , Seth Lloyd

A method is proposed, called channel polarization, to construct code sequences that achieve the symmetric capacity $I(W)$ of any given binary-input discrete memoryless channel (B-DMC) $W$. The symmetric capacity is the highest rate…

信息论 · 计算机科学 2016-11-18 Erdal Arikan

We prove a regularized formula for the secret key-assisted capacity region of a quantum channel for transmitting private classical information. This result parallels the work of Devetak on entanglement assisted quantum communication…

量子物理 · 物理学 2010-02-11 Min-Hsiu Hsieh , Zhicheng Luo , Todd Brun

Recently, a purely quantum version of polar codes has been proposed in [1] based on a quantum channel combining and splitting procedure, where a randomly chosen two-qubit Clifford unitary acts as channel combining operation. Here, we…

量子物理 · 物理学 2025-03-12 Ashutosh Goswami , Mehdi Mhalla , Valentin Savin

A strong converse bound for the classical identification capacity of a quantum channel is an upper bound on the asymptotic identification rate of classical messages sent through the channel, such that, above this rate, the probability of an…

量子物理 · 物理学 2026-04-01 Liuhang Ye , Bjarne Bergh , Nilanjana Datta

Optical communication channels are ultimately quantum-mechanical in nature, and we must therefore look beyond classical information theory to determine their communication capacity as well as to find efficient encoding and decoding schemes…

量子物理 · 物理学 2017-07-12 Felipe Lacerda , Joseph M. Renes , Volkher B. Scholz

We present a new achievable rate region for the two-user binary-input classical-quantum broadcast channel. The result is a generalization of the classical Marton-Gelfand-Pinsker region and is provably larger than the best previously known…

量子物理 · 物理学 2015-10-06 Christoph Hirche , Ciara Morgan

The quantum channel capacity gives the ultimate limit for the rate at which quantum data can be reliably transmitted through a noisy quantum channel. Degradable quantum channels are among the few channels whose quantum capacities are known.…

量子物理 · 物理学 2011-03-31 Markus Grassl , Zhengfeng Ji , Zhaohui Wei , Bei Zeng

Quantum channel capacity is a fundamental quantity in order to understand how good can quantum information be transmitted or corrected when subjected to noise. However, it is generally not known how to compute such quantities, since the…

量子物理 · 物理学 2023-09-20 Josu Etxezarreta Martinez , Antonio deMarti iOlius , Pedro M. Crespo

Calculating the capacity of interference channels is a notorious open problem in classical information theory. Such channels have two senders and two receivers, and each sender would like to communicate with a partner receiver. The capacity…

量子物理 · 物理学 2012-05-28 Omar Fawzi , Patrick Hayden , Ivan Savov , Pranab Sen , Mark M. Wilde

Local noise can produce quantum correlations on an initially classically correlated state, provided that it is not represented by a unital or semi-classical channel \cite{DagmarBruss}. We find the power of any given local channel for…

量子物理 · 物理学 2015-06-12 Tahere Abad , Vahid Karimipour , Laleh Memarzadeh

We consider a setting where a stream of qubits is processed sequentially. We derive fundamental limits on the rate at which classical information can be transmitted using qubits that decohere as they wait to be processed. Specifically, we…

信息论 · 计算机科学 2020-08-11 Prabha Mandayam , Krishna Jagannathan , Avhishek Chatterjee

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)…

量子物理 · 物理学 2017-08-01 Andreas Winter