NDLI: An Extreme Form of Superactivation for Quantum Zero-Error Capacities

Content Provider	IEEE Xplore Digital Library
Author	Cubitt, T.S. Smith, G.
Copyright Year	1963
Abstract	The zero-error capacity of a channel is the rate at which it can send information perfectly, with zero probability of error, and has long been studied in classical information theory. We show that the zero-error capacity of quantum channels exhibits an extreme form of nonadditivity, one which is not possible for classical channels, or even for the usual capacities of quantum channels. By combining probabilistic arguments with algebraic geometry, we prove that there exist channels and with no zero-error classical capacity whatsoever, , but whose joint zero-error quantum capacity is positive, . This striking effect is an extreme form of the superactivation phenomenon, as it implies that both the classical and quantum zero-error capacities of these channels can be superactivated simultaneously, while being a strictly stronger property of capacities. Superactivation of the quantum zero-error capacity was not previously known.
Sponsorship	IEEE Information Theory Society
Starting Page	1953
Ending Page	1961
Page Count	9
File Size	223327
File Format	PDF
ISSN	00189448
Volume Number	58
Issue Number	3
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-03-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Quantum mechanics Joints Channel capacity Geometry Vectors Capacity planning zero-error capacity Additivity violation channel coding classical capacity communication channels information rates quantum capacity quantum theory superactivation
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Superactivation of the Asymptotic Zero-Error Classical Capacity of a Quantum Channel

Classical Capacities of Compound and Averaged Quantum Channels

Methods for Estimating Capacities and Rates of Gaussian Quantum Channels

1 An Extreme form of Superactivation for Quantum Zero-Error Capacities

Information geometric superactivation of classical zero-error capacity of quantum channels

Zero-Error Channel Capacity and Simulation Assisted by Non-Local Correlations

Superactivation of the asymptotic zero-error classical capacity of a quantum channel (2009).

On the Quantum Rényi Relative Entropies and Related Capacity Formulas

Making Good Codes for Classical-Quantum Channel Coding via Quantum Hypothesis Testing

An Extreme Form of Superactivation for Quantum Zero-Error Capacities

Similar Documents

Superactivation of the Asymptotic Zero-Error Classical Capacity of a Quantum Channel

Classical Capacities of Compound and Averaged Quantum Channels

Methods for Estimating Capacities and Rates of Gaussian Quantum Channels

1 An Extreme form of Superactivation for Quantum Zero-Error Capacities

Information geometric superactivation of classical zero-error capacity of quantum channels

Zero-Error Channel Capacity and Simulation Assisted by Non-Local Correlations

Superactivation of the asymptotic zero-error classical capacity of a quantum channel (2009).

On the Quantum Rényi Relative Entropies and Related Capacity Formulas

Making Good Codes for Classical-Quantum Channel Coding via Quantum Hypothesis Testing

An Extreme Form of Superactivation for Quantum Zero-Error Capacities