Finite key analysis for symmetric attacks in quantum key distribution

Abstract

We introduce a constructive method to calculate the achievable secret key rate for a generic class of quantum key distribution protocols, when only a finite number n of signals is given. Our approach is applicable to all scenarios in which the quantum state shared by Alice and Bob is known. In particular, we consider the six state protocol with symmetric eavesdropping attacks, and show that for a small number of signals, i.e. below the order of 10^4, the finite key rate differs significantly from the asymptotic value for n approaching infinity. However, for larger n, a good approximation of the asymptotic value is found. We also study secret key rates for protocols using higher-dimensional quantum systems.

9 pages, 5 figures

References in corpus (10)

• Optimal eavesdropping in quantum cryptography with six states
• Quantum cryptography protocols robust against photon number splitting attacks for weak laser pulses implementations
• An information-theoretic security proof for QKD protocols
• Optimal eavesdropping in cryptography with three-dimensional quantum states
• Incoherent and Coherent Eavesdropping in the 6-state Protocol of Quantum Cryptography
• Entanglement as precondition for secure quantum key distribution
• Practical Quantum Key Distribution with Polarization-Entangled Photons
• Classical data compression with quantum side information
• Tomographic Quantum Cryptography
• Tomographic Quantum Cryptography: Equivalence of Quantum and Classical Key Distillation

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• Demonstration of Free-space Reference Frame Independent Quantum Key Distribution
• Security of quantum key distribution from generalised entropy accumulation
• Min-entropy and quantum key distribution: non-zero key rates for "small" numbers of signals
• QKD with finite resources: secret key rates via Rényi entropies
• Quantum key distribution with finite resources: Taking advantage of quantum noise
• Recent developments in quantum key distribution: theory and practice
• Secret key rates for coherent attacks
• Finite-key analysis of the six-state protocol with photon-number-resolution detectors
• Motion-Compensated Handheld Quantum Key Distribution System