Method for decoupling error correction from privacy amplification

Abstract

Entanglement purification provides a unifying framework for proving the security of quantum key distribution schemes. Nonetheless, up till now, a local commutability constraint in the CSS code construction means that the error correction and privacy amplification procedures of BB84 are not fully decoupled. Here, I provide a method to decouple the two processes completely. The method requires Alice and Bob to share some initial secret string and use it to encrypt the bit-flip error syndrome using one-time-pad encryption. As an application, I prove the unconditional security of the interactive Cascade protocol, proposed by Brassard and Salvail for error correction, modified by one-time-pad encryption of the error syndrome, and followed by the random matrix protocol for privacy amplification. This is an efficient protocol in terms of both computational power and key generation rate.

15 preprint pages

References in corpus (2)

• Instantaneous non-local computation of low T-depth quantum circuits
• Experimental Quantum Cloning of Single Photons

Cited by in corpus (17)

• The Security of Practical Quantum Key Distribution
• Secure quantum key distribution with realistic devices
• Quantum key distribution using gaussian-modulated coherent states
• Security in Quantum Cryptography
• Practical issues in quantum-key-distribution post-processing
• Symmetric blind information reconciliation for quantum key distribution
• Physical Underpinnings of Privacy
• Privacy Amplification, Private States, and the Uncertainty Principle
• Key rate of quantum key distribution with hashed two-way classical communication
• Noisy Preprocessing and the Distillation of Private States
• Efficient Quantum Polar Codes Requiring No Preshared Entanglement
• Stream privacy amplification for quantum cryptography
• Efficient Information Reconciliation for High-Dimensional Quantum Key Distribution
• Problems in application of LDPC codes to information reconciliation in quantum key distribution protocols
• Advantage Distillation for Quantum Key Distribution
• Secure BB84-type quantum key distribution with simple phase error formula
• Security and entanglement in differential-phase-shift quantum key distribution