Improved one-way rates for BB84 and 6-state protocols

Abstract

We study the advantages to be gained in quantum key distribution (QKD) protocols by combining the techniques of local randomization, or noisy preprocessing, and structured (nonrandom) block codes. Extending the results of [Smith, Renes, and Smolin, quant-ph/0607018] pertaining to BB84, we improve the best-known lower bound on the error rate for the 6-state protocol from 14.11% for local randomization alone to at least 14.59%. Additionally, we also study the effects of iterating the combined preprocessing scheme and find further improvements to the BB84 protocol already at small block lengths.

17 pages, to appear in Quantum Information & Computation. Replaced by accepted version

References in corpus (8)

• Simple Proof of Security of the BB84 Quantum Key Distribution Protocol
• An information-theoretic security proof for QKD protocols
• Secure key from bound entanglement
• Lower and upper bounds on the secret key rate for QKD protocols using one--way classical communication
• Degenerate Quantum Codes for Pauli Channels
• Relating quantum privacy and quantum coherence: an operational approach
• Noisy Preprocessing and the Distillation of Private States
• One-way quantum key distribution: Simple upper bound on the secret key rate

Cited by in corpus (4)

• Simple and practical DIQKD security analysis via BB84-type uncertainty relations and Pauli correlation constraints
• The Physics of Quantum Information: Complementarity, Uncertainty, and Entanglement
• Quantum key distribution with finite resources: Taking advantage of quantum noise
• Performance of polar codes for quantum and private classical communication