Additive Extensions of a Quantum Channel
arXiv:0712.2471 · doi:10.1109/ITW.2008.4578688
Abstract
We study extensions of a quantum channel whose one-way capacities are described by a single-letter formula. This provides a simple technique for generating powerful upper bounds on the capacities of a general quantum channel. We apply this technique to two qubit channels of particular interest--the depolarizing channel and the channel with independent phase and amplitude noise. Our study of the latter demonstrates that the key rate of BB84 with one-way post-processing and quantum bit error rate q cannot exceed H(1/2-2q(1-q)) - H(2q(1-q)).
6 pages, one figure
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- A Survey on Quantum Channel Capacities
- Quantum Coding with Finite Resources
- Approximate Degradable Quantum Channels
- Strong converse rates for quantum communication
- Bounding the energy-constrained quantum and private capacities of phase-insensitive bosonic Gaussian channels
- Useful states and entanglement distillation
- Semidefinite programming converse bounds for quantum communication
- Potential capacities of quantum channels
- Quantum Channel Capacities with Passive Environment Assistance
- Positivity and nonadditivity of quantum capacities using generalized erasure channels
- Game-theoretic characterization of antidegradable channels
- A semidefinite programming upper bound of quantum capacity
- Pursuing the fundamental limits for quantum communication
- Detecting positive quantum capacities of quantum channels
- Resonant Multilevel Amplitude Damping Channels
- Geometric Rényi Divergence and its Applications in Quantum Channel Capacities
- Non-additivity in classical-quantum wiretap channels
- How Deep the Theory of Quantum Communications Goes: Superadditivity, Superactivation and Causal Activation
- Tightening continuity bounds for entropies and bounds on quantum capacities
- Additivity of quantum capacities in simple non-degradable quantum channels
- Reverse-type Data Processing Inequality