Temel Kavramlar
Precise characterization of postselected capacities in entanglement-assisted and nonsignalling scenarios.
Özet
The content discusses postselected communication over quantum channels, focusing on entanglement-assisted and nonsignalling assistance. It introduces a novel scheme called postselected teleportation-based coding and establishes lower bounds for one-shot pEA quantum capacity. The relationship between different information-theoretic quantities is explored, leading to closed-form expressions for the one-shot pEA and pNA quantum capacities.
- Introduction to Postselected Communication
- Definition of postselected communication.
- Significance of shared resources in simplifying channel capacities.
- Introduction to the concept of postselection enhancing quantum mechanics.
- Notation and Basic Definitions
- Hilbert spaces, states, channels, and measures relevant to the analysis.
- Definitions of max-relative entropy, projective mutual information, and hypothesis testing relative entropy.
- Postselected Communication Framework
- General framework overview.
- Specific scenarios: entanglement-assisted communication (pEA) and nonsignalling-assisted communication (pNA).
- One-shot pEA & pNA Capacities
- Proposal of postselected teleportation-based coding scheme for pEA.
- Achievability analysis for one-shot pEA quantum capacity.
- Characterization of ∆(N) as equivalent to IΩ(N).
- Derivation of upper bound on one-shot pNA quantum capacity matching lower bound on pEA.
- Asymptotic Capacities and Conclusion
- Discussion on asymptotic rates per channel use.
- Summary of findings and implications for understanding fundamental limits in quantum communication.
İstatistikler
"The single-letter characterisation... mutual information based on the Hilbert projective metric."
"Here we provide a precise single-letter char... based on the Hilbert projective metric."
"Our finding in Eq. (1) provides a complete solution..."
"Due to the fact that Dmax(ρ∥σ) = ∞if..."
Alıntılar
"The single-letter characterisation... mutual information based on the Hilbert projective metric."
"Our finding in Eq. (1) provides a complete solution..."