NDLI: Achieving the Han-Kobayashi inner bound for the quantum interference channel

Content Provider	IEEE Xplore Digital Library
Author	Sen, P.
Copyright Year	2012
Description	Author affiliation: School of Technology and Computer Science, Tata Institute of Fundamental Research, Mumbai 400005, India (Sen, P.)
Abstract	We construct an encoding and decoding scheme achieving the Chong-Motani-Garg inner bound [1] for a two sender two receiver interference channel with classical input and quantum output. This automatically gives a similar inner bound for sending classical information through an interference channel with quantum inputs and outputs without entanglement assistance. Our result matches the best known inner bound for the interference channel in the classical setting. Achieving the Chong-Motani-Garg inner bound, which is known to be equivalent to the Han-Kobayashi inner bound [3], answers an open question raised recently by Fawzi et al. [4]. Our encoding strategy is the standard random encoding strategy. Our decoding strategy is a sequential strategy where a receiver loops through all candidate messages trying to project the received state onto a ‘typical’ subspace for the candidate message under consideration, stopping if the projection succeeds for a message, which is then declared as the guess of the receiver for the sent message. On the way to our main result, we show that random encoding and sequential decoding strategies suffice to achieve rates up to the mutual information for a single sender single receiver channel, and the standard inner bound for a two sender single receiver multiple access channel, for channels with classical input and quantum output. Besides conceptual simplicity, a sequential decoding strategy is space efficient, and may have additional efficiency advantages in some settings. We prove our inner bounds using two new technical tools — a non-commutative union bound to analyse the decoding error probability, and a geometric notion of approximate interesection of two conditionally typical subspaces.
Starting Page	736
Ending Page	740
File Size	120727
Page Count	5
File Format	PDF
ISBN	9781467325806
ISSN	21578117
e-ISBN	9781467325790
e-ISBN	9781467325783
DOI	10.1109/ISIT.2012.6284656
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-01
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Decoding Receivers Encoding Interference channels Standards Quantum mechanics Error probability
Content Type	Text
Resource Type	Article

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

A new inner bound for the interference relay channel

Achieving the Han-Kobayashi inner bound for the quantum interference channel by sequential decoding

Sub-optimality of Han-Kobayashi achievable region for interference channels

The Han-Kobayashi region for a class of Gaussian interference channels with mixed interference

Quantum interference channels

LDPC code design for binary-input binary-output Z interference channels

On the Han-Kobayashi achievable region for Gaussian interference channels

Optimal Achievable Rates for Interference Networks With Random Codes

Error exponents of optimum decoding for the interference channel

Achieving the Han-Kobayashi inner bound for the quantum interference channel

Similar Documents

A new inner bound for the interference relay channel

Achieving the Han-Kobayashi inner bound for the quantum interference channel by sequential decoding

Sub-optimality of Han-Kobayashi achievable region for interference channels

The Han-Kobayashi region for a class of Gaussian interference channels with mixed interference

Quantum interference channels

LDPC code design for binary-input binary-output Z interference channels

On the Han-Kobayashi achievable region for Gaussian interference channels

Optimal Achievable Rates for Interference Networks With Random Codes

Error exponents of optimum decoding for the interference channel

Achieving the Han-Kobayashi inner bound for the quantum interference channel