research-article

A Resource Framework for Quantum Shannon Theory

Authors:

I. Devetak,

A. W. Harrow,

A. J. WinterAuthors Info & Claims

IEEE Transactions on Information Theory, Volume 54, Issue 10

Pages 4587 - 4618

https://doi.org/10.1109/TIT.2008.928980

Published: 01 October 2008 Publication History

Abstract

Quantum Shannon theory is loosely defined as a collection of coding theorems, such as classical and quantum source compression, noisy channel coding theorems, entanglement distillation, etc., which characterize asymptotic properties of quantum and classical channels and states. In this paper, we advocate a unified approach to an important class of problems in quantum Shannon theory, consisting of those that are bipartite, unidirectional, and memoryless.

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Nuradha TWilde M(2024)Fidelity-Based Smooth Min-Relative Entropy: Properties and ApplicationsIEEE Transactions on Information Theory10.1109/TIT.2024.337859070:6(4170-4196)Online publication date: 18-Mar-2024
https://dl.acm.org/doi/10.1109/TIT.2024.3378590
Belzig PChristandl MMüller-Hermes A(2024)Fault-Tolerant Coding for Entanglement-Assisted CommunicationIEEE Transactions on Information Theory10.1109/TIT.2024.335431970:4(2655-2673)Online publication date: 1-Apr-2024
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Pereg UDeppe CBoche H(2023)Communication With Unreliable Entanglement AssistanceIEEE Transactions on Information Theory10.1109/TIT.2023.325360069:7(4579-4599)Online publication date: 1-Jul-2023
https://dl.acm.org/doi/10.1109/TIT.2023.3253600
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A Resource Framework for Quantum Shannon Theory
1. Mathematics of computing
  1. Information theory
2. Theory of computation

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IEEE Transactions on Information Theory Volume 54, Issue 10

October 2008

381 pages

ISSN:0018-9448

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IEEE Press

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Published: 01 October 2008

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Nuradha TWilde M(2024)Fidelity-Based Smooth Min-Relative Entropy: Properties and ApplicationsIEEE Transactions on Information Theory10.1109/TIT.2024.337859070:6(4170-4196)Online publication date: 18-Mar-2024
https://dl.acm.org/doi/10.1109/TIT.2024.3378590
Belzig PChristandl MMüller-Hermes A(2024)Fault-Tolerant Coding for Entanglement-Assisted CommunicationIEEE Transactions on Information Theory10.1109/TIT.2024.335431970:4(2655-2673)Online publication date: 1-Apr-2024
https://dl.acm.org/doi/10.1109/TIT.2024.3354319
Pereg UDeppe CBoche H(2023)Communication With Unreliable Entanglement AssistanceIEEE Transactions on Information Theory10.1109/TIT.2023.325360069:7(4579-4599)Online publication date: 1-Jul-2023
https://dl.acm.org/doi/10.1109/TIT.2023.3253600
Wakakuwa ENakata Y(2023)One-Shot Triple-Resource Trade-Off in Quantum Channel CodingIEEE Transactions on Information Theory10.1109/TIT.2022.322277569:4(2400-2426)Online publication date: 1-Apr-2023
https://dl.acm.org/doi/10.1109/TIT.2022.3222775
Atif THeidari MPradhan S(2022)Faithful Simulation of Distributed Quantum Measurements With Applications in Distributed Rate-Distortion TheoryIEEE Transactions on Information Theory10.1109/TIT.2021.312497668:2(1085-1118)Online publication date: 1-Feb-2022
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Chakraborty SPadakandla ASen P(2022)Centralised multi link measurement compression with side information2022 IEEE International Symposium on Information Theory (ISIT)10.1109/ISIT50566.2022.9834895(61-66)Online publication date: 26-Jun-2022
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Pereg UDeppe CBoche H(2022)Communication with Unreliable Entanglement Assistance2022 IEEE International Symposium on Information Theory (ISIT)10.1109/ISIT50566.2022.9834764(2231-2236)Online publication date: 26-Jun-2022
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Salek FWinter A(2022)Distillation of Secret Key and GHZ States from Multipartite Mixed States2022 IEEE International Symposium on Information Theory (ISIT)10.1109/ISIT50566.2022.9834630(2654-2659)Online publication date: 26-Jun-2022
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Pereira FPellikaan RGuardia Gde Assis F(2021)Entanglement-Assisted Quantum Codes From Algebraic Geometry CodesIEEE Transactions on Information Theory10.1109/TIT.2021.311336767:11(7110-7120)Online publication date: 18-Oct-2021
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The impact of resource on remote quantum correlation preparation

Trading classical communication, quantum communication, and entanglement in quantum Shannon theory

Relevance of rank for a mixed state quantum teleportation resource

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