Introduction to Quantum Communication Theory—COMP 598

Papers for Final Presentation

Below is a list of several research articles (organized according to a particular topic) in quantum Shannon theory that should be interesting for a final presentation. You may select any of the below papers to present. You may also select a paper of your own choosing with approval from the instructor.

The Classical Capacity of a Quantum Channel

Matt B. Hastings. A Counterexample to Additivity of Minimum Output Entropy, arXiv:0809.3972 (2008).

Matt B. Hastings. Superadditivity of communication capacity using entangled inputs, Nature Physics 5, 255 - 257 (2009).

Tony Dorlas and Ciara Morgan. The classical capacity of quantum channels with memory, Phys. Rev. A 79, 032320 (2009).

Toby S. Cubitt, Jianxin Chen, and Aram W. Harrow. Superactivation of the Asymptotic Zero-Error Classical Capacity of a Quantum Channel, arXiv:0906.2547 (2009).

Christopher S. King. The capacity of the quantum depolarizing channel, IEEE Transactions on Information Theory 49(1), 221--229 (January 2003).

The Private Capacity of a Quantum Channel

Igor Devetak. The private classical capacity and quantum capacity of a quantum channel, IEEE Transactions on Information Theory, 51(1), 44-55 (2005).

Igor Devetak and Andreas Winter. Distillation of secret key and entanglement from quantum states, Proc. R. Soc. Lond. A, vol 461, 207--235 (2005).

Kamil Bradler, Patrick Hayden, and Prakash Panangaden. Private information via the Unruh effect, Journal of High Energy Physics 08, 074 (2009).

Ke Li, Andreas Winter, XuBo Zou, GuangCan Guo. Nonadditivity of the Private Classical Capacity of a Quantum Channel, arXiv:0903.4308 (2009).

Graeme Smith. Private classical capacity with a symmetric side channel and its application to quantum cryptography, Physical Review A 78, 022306 (2008).

Min-Hsiu Hsieh and Mark M. Wilde. Public and private communication with a quantum channel and a secret key, Physical Review A 80, 022306 (2009).

Min-Hsiu Hsieh, Zhicheng Luo, and Todd Brun. Secret Key Assisted Private Classical Communication Capacity over Quantum Channels, Phys. Rev. A 78, 042306 (2008).

Graeme Smith and John A. Smolin. Extensive nonadditivity of privacy, arXiv:0904.4050 (2009).

Graeme Smith and John A. Smolin. Can non-private channels transmit quantum information?, Phys. Rev. Lett. 102, 010501 (2009).

The Quantum Capacity of a Quantum Channel

Igor Devetak. The private classical capacity and quantum capacity of a quantum channel, IEEE Transactions on Information Theory, 51(1), 44-55 (2005).

Patrick Hayden, Michal Horodecki, Jon Yard, and Andreas Winter. A decoupling approach to the quantum capacity, Open Syst. Inf. Dyn. 15, 7-19 (2008).

Graeme Smith and Jon Yard. Quantum Communication With Zero-Capacity Channels, Science 321, 1812--1815 (2008).

Debbie Leung and Graeme Smith. Continuity of quantum channel capacities, Communications in Mathematical Physics 292, 201-215 (November 2009).

Graeme Smith, John A. Smolin, and Andreas Winter. The quantum capacity with symmetric side channels, IEEE Trans. Info. Theory 54, 9, 4208-4217 (2008).

David P. DiVincenzo, Peter W. Shor, and John A. Smolin. Quantum Channel Capacity of Very Noisy Channels, Phys. Rev. A 57, 830--839 (1998).

Patrick Hayden and John Preskill. Black holes as mirrors: quantum information in random subsystems, Journal of High Energy Physics 0709, 120 (2007).

Static Quantum Shannon-Theoretic Protocols

Anura Abeyesinghe, Igor Devetak, Patrick Hayden, and Andreas Winter. The mother of all protocols: Restructuring quantum information's family tree, arXiv:quant-ph/0606225 (2006).

Trading Resources

Igor Devetak, Aram W. Harrow, and Andreas Winter. A Resource Framework for Quantum Shannon Theory, IEEE Trans. Inf. Th. vol. 54, no. 10, pp. 4587-4618, (October 2008).

Anura Abeyesinghe and Patrick Hayden. Generalized remote state preparation: Trading cbits, qubits and ebits in quantum communication, Phys. Rev. A 68, 062319 (2003).

Min-Hsiu Hsieh and Mark M. Wilde. Trading classical communication, quantum communication, and entanglement in quantum Shannon theory, arXiv:0901.3038 (2009).

Network Quantum Shannon Theory

Frederic Dupuis and Patrick Hayden. A father protocol for quantum broadcast channels, arXiv:quant-ph/0612155 (2006).

Jon Yard, Patrick Hayden, and Igor Devetak. Quantum broadcast channels, arXiv:quant-ph/0603098 (2006).

Jon Yard, Igor Devetak, and Patrick Hayden. Capacity Theorems for Quantum Multiple Access Channels: Classical-Quantum and Quantum-Quantum Capacity Regions, IEEE Transactions on Information Theory 54(7), 3091-3113 (July 2008).

Min-Hsiu Hsieh, Igor Devetak, and Andreas Winter. Entanglement-Assisted Capacity of Quantum Multiple Access Channels, IEEE Transactions on Information Theory 54(7), 3078-3090 (July 2008).

Last modified: January 02, 2014.