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Characterization of Collective Gaussian Attacks and Security of Coherent-State Quantum Cryptography

Stefano Pirandola, Samuel L. Braunstein, Seth Lloyd

arXiv:0806.4207v2quant-phphysics.optics

TL;DR

The paper characterizes general collective Gaussian attacks in continuous-variable QKD and analyzes asymptotic secret-key rates for coherent-state protocols. It reduces the attack description to channel parameters and identifies canonical attacks as extremal for the resulting bounds.

  • Problem

    The work addresses the need to characterize general collective Gaussian attacks and analyze coherent-state cvQKD security under such attacks.

  • Method

    It decomposes one-mode Gaussian channels into canonical forms, constructs Stinespring dilations, and analyzes coherent-state protocols with heterodyne detection, tomography, and one-way reconciliation.

  • Results

    Asymptotic secret-key rates are bounded by quantities depending only on the three parameters {τ, w, η}, with canonical attacks extremal for these bounds.

  • Takeaways & Limitations

    The characterization supports general security analyses of cvQKD protocols without assumptions on Eve’s interaction.

  • Takeaways & Limitations

    The cryptographic scenario assumes the whole environment is under Eve’s control.

Abstract

from arXiv · show

We provide a simple description of the most general collective Gaussian attack in continuous-variable quantum cryptography. In the scenario of such general attacks, we analyze the asymptotic secret-key rates which are achievable with coherent states, joint measurements of the quadratures and one-way classical communication.

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