Quantum communication with zero-capacity channels

Science
Graeme Smith, Jon Yard

Abstract

Communication over a noisy quantum channel introduces errors in the transmission that must be corrected. A fundamental bound on quantum error correction is the quantum capacity, which quantifies the amount of quantum data that can be protected. We show theoretically that two quantum channels, each with a transmission capacity of zero, can have a nonzero capacity when used together. This unveils a rich structure in the theory of quantum communications, implying that the quantum capacity does not completely specify a channel's ability to transmit quantum information.

References

Oct 1, 1996·Physical Review. a·B Schumacher, M A Nielsen
Aug 19, 1996·Physical Review Letters·A Peres
Apr 12, 2003·Physical Review Letters·Peter W ShorAshish V Thapliyal
Mar 20, 2004·Science·Charles H Bennett, Peter W Shor
Aug 25, 2004·Physical Review Letters·W DürP Horodecki
May 21, 2005·Physical Review Letters·Karol HorodeckiJonathan Oppenheim
Mar 16, 2007·Physical Review Letters·Graeme Smith, John A Smolin

❮ Previous
Next ❯

Citations

Jun 12, 2013·Scientific Reports·Elias AmselemMohamed Bourennane
Jul 19, 2013·Scientific Reports·Jing ZhangFranco Nori
Apr 3, 2014·Scientific Reports·Ming-Xing LuoXiaojun Wang
May 15, 2013·Optics Express·Tobias EberleRoman Schnabel
Apr 24, 2015·Nature Communications·Stefan BäumlAndreas Winter
Apr 1, 2015·Nature Communications·Toby CubittSergii Strelchuk
May 10, 2016·Nature Communications·Marco TomamichelJoseph M Renes
Jul 5, 2017·Reports on Progress in Physics·Joonwoo Bae
Sep 28, 2017·Science Advances·Mohamed NawaregMohamed Bourennane
Nov 19, 2013·Nature·Graeme Smith, John A Smolin
Jun 13, 2009·Physical Review Letters·Raúl García-PatrónJeffrey H Shapiro
Oct 2, 2009·Physical Review Letters·Ke LiGuangCan Guo
Mar 10, 2012·Physical Review Letters·Fernando G S L BrandãoSergii Strelchuk
May 1, 2012·Physical Review Letters·Mark M WildeSaikat Guha
Sep 26, 2012·Physical Review Letters·Graeme Smith, John A Smolin
Jul 14, 2012·Reports on Progress in Physics·A S Holevo, V Giovannetti
Apr 9, 2016·Physical Review Letters·Andreas Winter, Dong Yang
Dec 1, 2018·Scientific Reports·Junaid Ur RehmanHyundong Shin
Jan 25, 2020·Nature Communications·Kyungjoo NohLiang Jiang
Jul 24, 2020·Physical Review Letters·Marco FanizzaVittorio Giovannetti
Feb 12, 2017·Physical Review Letters·Andrew CrossGraeme Smith
May 15, 2018·Physical Review Letters·Felix LeditzkyGraeme Smith
Oct 20, 2018·Nature Communications·Matteo RosatiVittorio Giovannetti
Apr 26, 2018·Physical Review Letters·Daniel EblerGiulio Chiribella
Aug 28, 2020·Physical Review Letters·Shang YuGuang-Can Guo
Dec 1, 2018·Physical Review Letters·Marcus HuberAlexander Müller-Hermes
Oct 2, 2009·Physical Review Letters·Graeme Smith, John A Smolin
Feb 27, 2021·Physical Review Letters·Quntao Zhuang
Dec 12, 2012·Physical Review Letters·Carlos Palazuelos
Jan 17, 2012·Physical Review Letters·Jianxin ChenGraeme Smith
Apr 28, 2009·Physical Review Letters·Lukasz Czekaj, Pawel Horodecki
Jan 15, 2011·Physical Review Letters·Jonathan LavoieKevin J Resch
Apr 8, 2014·Physical Review Letters·Maris OzolsJohn A Smolin
Oct 3, 2021·Nature Communications·Vikesh Siddhu
Sep 27, 2008·Science·Jonathan Oppenheim

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review Letters
Graeme Smith, John A Smolin
Photochemical & Photobiological Sciences : Official Journal of the European Photochemistry Association and the European Society for Photobiology
Yan SunJiapei Dai
© 2022 Meta ULC. All rights reserved