Finite-key analysis of loss-tolerant quantum key distribution based on random sampling theory
arXiv:2101.12603 · doi:10.1103/PhysRevA.104.012406
Abstract
The core of security proofs of quantum key distribution (QKD) is the estimation of a parameter that determines the amount of privacy amplification that the users need to apply in order to distill a secret key. To estimate this parameter using the observed data, one needs to apply concentration inequalities, such as random sampling theory or Azuma's inequality. The latter can be straightforwardly employed in a wider class of QKD protocols, including those that do not rely on mutually unbiased encoding bases, such as the loss-tolerant (LT) protocol. However, when applied to real-life finite-length QKD experiments, Azuma's inequality typically results in substantially lower secret-key rates. Here, we propose an alternative security analysis of the LT protocol against general attacks, for both its prepare-and-measure and measure-device-independent versions, that is based on random sampling theory. Consequently, our security proof provides considerably higher secret-key rates than the previous finite-key analysis based on Azuma's inequality. This work opens up the possibility of using random sampling theory to provide alternative security proofs for other QKD protocols.
arXiv comment24 pages, 5 figures. v2: Corrected a technical issue; bold math was not displayed properly in Appendix B
References in corpus (26)
- The Security of Practical Quantum Key Distribution
- Decoy State Quantum Key Distribution
- Measurement-device-independent quantum key distribution
- Quantum Key Distribution with High Loss: Toward Global Secure Communication
- Beating the PNS attack in practical quantum cryptography
- Secure Quantum Key Distribution
- Practical Decoy State for Quantum Key Distribution
- Secure quantum key distribution over 421 km of optical fiber
- Tight Finite-Key Analysis for Quantum Cryptography
- Finite-key analysis for measurement-device-independent quantum key distribution
- Soundness and completeness of quantum root-mean-square errors
- Practical issues in quantum-key-distribution post-processing
- Loss-tolerant quantum cryptography with imperfect sources
- Improved key rate bounds for practical decoy-state quantum key distribution systems
- Concise and Tight Security Analysis of the Bennett-Brassard 1984 Protocol with Finite Key Lengths
- Experimental quantum key distribution with source flaws
- Quantum key distribution with correlated sources
- Experimental Measurement-Device-Independent Quantum Key Distribution with Imperfect Sources
- Unconditional Security of Three State Quantum Key Distribution Protocols
- Finite-key security analysis of quantum key distribution with imperfect light sources
- Quantum key distribution with setting-choice-independently correlated light sources
- Practical Quantum Key Distribution Secure Against Side-Channels
- Leftover hashing from quantum error correction: Unifying the two approaches to the security proof of quantum key distribution
- Complementarity, distillable secret key, and distillable entanglement
- Wavelength Assignment in Quantum Access Networks with Hybrid Wireless-Fiber Links
- Concentration inequality using unconfirmed knowledge
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