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Polar coding is a method for communication over noisy classical channels which is provably capacity-achieving and has an efficient encoding and decoding. Recently, this method has been generalized to the realm of quantum information…

量子物理 · 物理学 2016-02-01 Christoph Hirche , Ciara Morgan , Mark M. Wilde

Polar codes are the first capacity achieving and efficiently implementable codes for classical communication. Recently they have also been generalized to communication over classical-quantum and quantum channels. In this work we present our…

量子物理 · 物理学 2015-01-16 Christoph Hirche

We construct new polar coding schemes for the transmission of quantum or private classical information over arbitrary quantum channels. In the former case, our coding scheme achieves the symmetric coherent information and in the latter the…

量子物理 · 物理学 2014-07-29 Joseph M. Renes , Mark M. Wilde

Holevo, Schumacher, and Westmoreland's coding theorem guarantees the existence of codes that are capacity-achieving for the task of sending classical data over a channel with classical inputs and quantum outputs. Although they demonstrated…

量子物理 · 物理学 2013-01-21 Mark M. Wilde , Saikat Guha

Channel polarization is a phenomenon in which a particular recursive encoding induces a set of synthesized channels from many instances of a memoryless channel, such that a fraction of the synthesized channels becomes near perfect for data…

量子物理 · 物理学 2013-06-20 Mark M. Wilde , Saikat Guha

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…

量子物理 · 物理学 2012-01-31 Toby S. Cubitt , Jianxin Chen , Aram W. Harrow

We construct a new secret-key assisted polar coding scheme for private classical communication over a quantum or classical wiretap channel. The security of our scheme rests on an entropic uncertainty relation, in addition to the channel…

量子物理 · 物理学 2013-03-26 Mark M. Wilde , Joseph M. Renes

The classical product state capacity of a noisy quantum channel with memory is investigated. A forgetful noise-memory channel is constructed by Markov switching between two depolarizing channels which introduces non-Markovian noise…

量子物理 · 物理学 2009-06-23 Jeroen Wouters , Ismail Akhalwaya , Mark Fannes , Francesco Petruccione

Being attracted by the property of classical polar code, researchers are trying to find its analogue in quantum fields, which is called quantum polar code. The first step and the key to design quantum polar code is to find out for the…

量子物理 · 物理学 2022-03-25 Zhengzhong Yi , Zhipeng Liang , Xuan Wang

We construct a new entanglement-assisted quantum polar coding scheme which achieves the symmetric coherent information rate by synthesizing "amplitude" and "phase" channels from a given, arbitrary quantum channel. We first demonstrate the…

量子物理 · 物理学 2012-09-04 Mark M. Wilde , Joseph M. Renes

For a partially degradable (PD) channel, the channel output state can be used to simulate the degraded environment state. The quantum capacity of a PD channel has been proven to be additive. Here, we show that the private classical capacity…

量子物理 · 物理学 2015-06-16 Laszlo Gyongyosi

Prior entanglement between sender and receiver, which exactly doubles the classical capacity of a noiseless quantum channel, can increase the classical capacity of some noisy quantum channels by an arbitrarily large constant factor…

量子物理 · 物理学 2009-01-23 Charles H. Bennett , Peter W. Shor , John A. Smolin , Ashish V. Thapliyal

We study various super-activation effects in the following zero-error communication scenario: One sender wants to send classical or quantum information through a noisy quantum channel to one receiver with zero probability of error. First we…

量子物理 · 物理学 2009-06-16 Runyao Duan

We calculate the entanglement-assisted classical capacity of symmetric and asymmetric Pauli channels where two consecutive uses of the channels are correlated. It is evident from our study that in the presence of memory, a higher amount of…

量子物理 · 物理学 2009-11-13 Nigum Arshed , A. H. Toor

We present an experiment demonstrating entanglement-enhanced classical communication capacity of a quantum channel with correlated noise. The channel is modelled by a fiber optic link exhibiting random birefringence that fluctuates on a…

量子物理 · 物理学 2007-05-23 K. Banaszek , A. Dragan , W. Wasilewski , C. Radzewicz

Quantum channels can be activated by a kind of channels whose quantum capacity is zero. This activation effect might be useful to overcome noise of channels by attaching other channels which can enhance the capacity of a given channel. In…

量子物理 · 物理学 2018-07-26 Youngrong Lim , Soojoon Lee

One of the most surprising recent results in quantum Shannon theory is the superactivation of the quantum capacity of a quantum channel. This phenomenon has its roots in the extreme violation of additivity of the channel capacity and…

量子物理 · 物理学 2012-08-28 Laszlo Gyongyosi , Sandor Imre

We study the activated quantum no-signalling-assisted zero-error classical capacity by first allowing the assistance from some noiseless forward communication channel and later paying back the cost of the helper. This activated…

量子物理 · 物理学 2017-12-19 Runyao Duan , Xin Wang

We investigate whether the use of a noiseless, classical feedback channel will increase the capacity of a quantum discrete memoryless channel to transmit classical information. This problem has been previously analyzed by Bowen and…

量子物理 · 物理学 2007-05-23 Andrew Skeen

This paper was presented in poster form at and in the proceedings of the QCMC 2008. It is a summary of a fuller paper to appear separately. The classical product state capacity of a noisy quantum channel with memory is investigated. A…

量子物理 · 物理学 2012-08-16 I. Akhalwaya , J. Wouters , M. Fannes , F. Petruccione
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