Security bound of two-bases quantum key-distribution protocols using qudits

Details Security bound of two-bases quantum key-distribution protocols using qudits Security bound of two-bases quantum key-distribution protocols using qudits

2005-07-22

arxiv.org/abs/quant-ph/0507221v1

Phys. Rev. A 72, 032320 (2005)

Physics

Quantum Physics

12 pages, 2 figures, to appear in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.72.032320

We investigate the security bounds of quantum cryptographic protocols using $d$-level systems. In particular, we focus on schemes that use two mutually unbiased bases, thus extending the BB84 quantum key distribution scheme to higher dimensions. Under the assumption of general coherent attacks, we derive an analytic expression for the ultimate upper security bound of such quantum cryptography schemes. This bound is well below the predictions of optimal cloning machines. The possibility of extraction of a secret key beyond entanglement distillation is discussed. In the case of qutrits we argue that any eavesdropping strategy is equivalent to a symmetric one. For higher dimensions such an equivalence is generally no longer valid.

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