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Updated: Aug 9, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

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Published on: May 30, 2014

Finite-Key Analysis for Quantum Key Distribution with Discrete-Phase Randomization.

Rui-Qiang Wang^1,2,3,4, Zhen-Qiang Yin^1,2,3,4, Xiao-Hang Jin^1,2,3,4

¹CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China.

Entropy (Basel, Switzerland)

|February 25, 2023

Summary

This summary is machine-generated.

This study proves the security of twin-field quantum key distribution (QKD) using discrete-phase randomization. The findings show that TF-QKD with discrete phases achieves good performance and finite-size effects require more pulses.

Keywords:

discrete-phase randomization finite-key analysis quantum key distribution

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Last Updated: Aug 9, 2025

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Area of Science:

Quantum Information Science
Quantum Cryptography

Background:

Quantum key distribution (QKD) enables secure key sharing between remote parties.
Continuous-phase randomization in QKD protocols is experimentally challenging.
Twin-field (TF) QKD offers enhanced key rates but lacks security proofs for discrete-phase randomization in finite-key scenarios.

Purpose of the Study:

To develop a security proof for TF-QKD with discrete-phase randomization in the finite-key region.
To analyze the performance and finite-size effects of TF-QKD using discrete phases.
To provide a foundational method applicable to other QKD protocols.

Main Methods:

Development of a security analysis technique based on conjugate measurement.
Application of quantum state distinguishment for security evaluation.
Finite-key security proof for discrete-phase randomized TF-QKD.

Main Results:

TF-QKD with discrete-phase randomization (e.g., 8 phases) demonstrates satisfactory performance.
Finite-size effects are more pronounced, necessitating an increased number of emitted pulses.
The first security proof for discrete-phase randomized TF-QKD in the finite-key region is established.

Conclusions:

Discrete-phase randomization is a viable alternative for TF-QKD, offering practical advantages.
The developed security analysis technique is robust and extends to other QKD protocols.
Addressing finite-size effects is crucial for optimizing discrete-phase randomized QKD systems.