Coding for quantum channels with side information at the transmitter
arXiv:0805.3352 · doi:10.1109/ISIT.2009.5205591
Abstract
We consider the problem of coding for quantum channels with side information that is available ahead of time at the transmitter but not at the receiver. We find a single-letter expression for the entanglement-assisted quantum capacity of such channels which closely parallels Gel'fand and Pinsker's solution to the classical version of the same problem. This theorem can also be used to find a lower bound on the unassisted quantum capacity of these channels.
11 pages
References in corpus (12)
- Distillation of secret key and entanglement from quantum states
- Correcting Quantum Errors with Entanglement
- Coding Theorem and Strong Converse for Quantum Channels
- Quantum state merging and negative information
- The mother of all protocols: Restructuring quantum information's family tree
- A Resource Framework for Quantum Shannon Theory
- The exact cost of redistributing multipartite quantum states
- General entanglement-assisted quantum error-correcting codes
- Catalytic quantum error correction
- Quantum broadcast channels
- A father protocol for quantum broadcast channels
- State redistribution as merging: introducing the coherent relay
Cited by in corpus (8)
- The decoupling approach to quantum information theory
- One shot entanglement assisted classical and quantum communication over noisy quantum channels: A hypothesis testing and convex split approach
- A decoupling approach to classical data transmission over quantum channels
- On the near-optimality of one-shot classical communication over quantum channels
- The Classical-Quantum Channel with Random State Parameters Known to the Sender
- Secure communication over fully quantum Gel'fand-Pinsker wiretap channel
- Entanglement-Assisted Capacity of Quantum Channels with Side Information
- Classical State Masking over a Quantum Channel