Secure Key Rate of the BB84 Protocol using Finite Sample Bits

Abstract

We improve the non-asymptotic key rate shown by Scarani and Renner by proposing several methods to construct tighter conservative confidence intervals of the phase error rate than one shown by them. In addition, we show that the accurate channel estimation method non-asymptotically increases the key rate over the amplitude damping channel as well as the asymptotic case in the BB84 protocol.

22 pages, 2 figures, to be published in J. Phys. A. Version 4 clarifies the assumptions of this paper. The source files of versions 3&4 include computer program files used in the numerical computation

References in corpus (8)

• Simple Proof of Security of the BB84 Quantum Key Distribution Protocol
• An information-theoretic security proof for QKD protocols
• Finite-size analysis of continuous-variable quantum key distribution
• Quantum cryptography with finite resources: unconditional security bound for discrete-variable protocols with one-way post-processing
• Finite-key analysis for practical implementations of quantum key distribution
• Tomography increases key rates of quantum-key-distribution protocols
• Process reconstruction: From unphysical to physical maps via maximum likelihood
• Higher Security Thresholds for Quantum Key Distribution by Improved Analysis of Dark Counts

Cited by in corpus (7)

• Numerical approach for unstructured quantum key distribution
• A fast and versatile QKD system with hardware key distillation and wavelength multiplexing
• Concise and Tight Security Analysis of the Bennett-Brassard 1984 Protocol with Finite Key Lengths
• Finite-key security against coherent attacks in quantum key distribution
• Security analysis of the decoy method with the Bennett-Brassard 1984 protocol for finite key lengths
• Key Rate of the B92 Quantum Key Distribution Protocol with Finite Qubits
• Quantum Key Distribution with Imperfections: Recent Advances in Security Proofs