Elements of information theory
Elements of information theory
Quantum computation and quantum information
Quantum computation and quantum information
Security Bounds for Quantum Cryptography with Finite Resources
Theory of Quantum Computation, Communication, and Cryptography
Security of quantum key distribution with imperfect devices
Quantum Information & Computation
Broadcast channels with confidential messages
IEEE Transactions on Information Theory
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In this paper, we present an asymmetric "4+2" protocol for quantum key distribution with finite photon pulses. The main work of this paper focuses on the composable security proof for this protocol in a finite-key scenario. Based on the essence security basis of the original "4+2" protocol proposed by Huttner et al. (Phys Rev A 51(3):1863---1869, 1995), we first develop the squashing model for this protocol with the quantum non-demolition measure theory. From this model, against the collective photon-number-splitting attack, we then provide the security proof (formulas of finite-key security bounds) for this protocol. The expected performance of this protocol are also evaluated on a priori reasonable expected values of parameters. Our work shows that the performance we derived is the lower one and it can cover long distances in the lossy channel.