论文标题

多光子脉冲和统一K-Designs的私人量子通道

Private quantum channels for multi-photon pulses and unitary k-designs

论文作者

Bouda, Jan, Sedlák, Michal, Ziman, Mario

论文摘要

我们解决了在光子的极化自由度中编码的量子位的私人量子通道存在的问题,即使发出了多光子(而不是单光子)脉冲,该问题仍然是安全的。我们表明,根据SU(2)HAAR度量分布的随机统一通道具有此属性。此外,我们分析了量子统一的K-Designs。我们表明,如果保证了光子的均衡,则可以确保安全。否则,贵族统一的K-Designs不能保证完美的安全性。

We address the question of existence of private quantum channel for qubits encoded in polarization degrees of freedom of a photon, that remains secure even if multi-photon (instead of single-photon) pulse is emitted. We show that random unitary channel distributed according to SU(2) Haar measure has this property. Further we analyze the qubit unitary k-designs. We show they ensure security if the photons' parity of the source is guaranteed. Otherwise, the qubit unitary k-designs do not guarantee perfect security.

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