Convex Optimization
Quantum privacy and quantum wiretap channels
Problems of Information Transmission
Entanglement-assisted communication of classical and quantum information
IEEE Transactions on Information Theory
Trading classical communication, quantum communication, and entanglement in quantum Shannon theory
IEEE Transactions on Information Theory
Optimal trading of classical communication, quantum communication, and entanglement
TQC'09 Proceedings of the 4th international conference on Theory of Quantum Computation, Communication, and Cryptography
Common randomness in information theory and cryptography. II. CR capacity
IEEE Transactions on Information Theory
The capacity of the quantum channel with general signal states
IEEE Transactions on Information Theory
Broadcast channels with confidential messages
IEEE Transactions on Information Theory
The private classical capacity and quantum capacity of a quantum channel
IEEE Transactions on Information Theory
Entanglement-Assisted Capacity of Quantum Multiple-Access Channels
IEEE Transactions on Information Theory
Common randomness in information theory and cryptography. I. Secret sharing
IEEE Transactions on Information Theory
Secret key agreement by public discussion from common information
IEEE Transactions on Information Theory
An Infinite Sequence of Additive Channels: The Classical Capacity of Cloning Channels
IEEE Transactions on Information Theory
The quantum dynamic capacity formula of a quantum channel
Quantum Information Processing
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Collins and Popescu realized a powerful analogy between several resources in classical and quantum information theory. The Collins---Popescu analogy states that public classical communication, private classical communication, and secret key interact with one another somewhat similarly to the way that classical communication, quantum communication, and entanglement interact. This paper discusses the information-theoretic treatment of this analogy for the case of noisy quantum channels. We determine a capacity region for a quantum channel interacting with the noiseless resources of public classical communication, private classical communication, and secret key. We then compare this region with the classical-quantum-entanglement region from our prior efforts and explicitly observe the information-theoretic consequences of the strong correlations in entanglement and the lack of a super-dense coding protocol in the public-private-secret-key setting. The region simplifies for several realistic, physically-motivated channels such as entanglement-breaking channels, Hadamard channels, and quantum erasure channels, and we are able to compute and plot the region for several examples of these channels.