Fully Quantum Source Compression with a Quantum Helper
arXiv:1504.05227 · doi:10.1109/ITWF.2015.7360785
Abstract
We study source compression with a helper in the fully quantum regime, extending our earlier result on classical source compression with a quantum helper [arXiv:1501.04366, 2015]. We characterise the quantum resources involved in this problem, and derive a single-letter expression of the achievable rate region when entanglement assistance is available. The direct coding proof is based on a combination of two fundamental protocols, namely the quantum state merging protocol and the quantum reverse Shannon theorem (QRST). This result demonstrates an unexpected connection between distributed source compression with the QRST protocol, a quantum protocol that consumes noiseless resources to simulate a noisy quantum channel.
5 pages, one figure, submitted to ITW 2015
References in corpus (7)
- Quantum information can be negative
- The mother of all protocols: Restructuring quantum information's family tree
- The information-theoretic costs of simulating quantum measurements
- Quantum rate distortion coding with auxiliary resources
- Quantum-to-classical rate distortion coding
- Network information theory for classical-quantum channels
- Source Compression with a Quantum Helper