论文标题
改进的校正项,以降低量子键分布的尺寸
An Improved Correction Term for Dimension Reduction in Quantum Key Distribution
论文作者
论文摘要
尺寸缩小方法实现了最初在无限尺寸中通过还原为可拖动的有限维优化的量子密钥分布(QKD)协议的安全证明。尺寸的降低与秘密密钥计算中的校正项有关。当协议测量值几乎相对于对降低的有限维子空间的投影几乎是块对基因时,先前得出的校正项就会松动。在这里,我们提供更严格的更正术语。它在所有测量算子都是块对基因的两个极端情况之间进行了插值,至少一个具有最大较大的非分子块。这个新的校正项可以通过降低所选子空间所需的维度来减少缩小尺寸方法的计算开销。
The dimension reduction method enables security proofs of quantum key distribution (QKD) protocols that are originally formulated in infinite dimensions via reduction to a tractable finite-dimensional optimization. The reduction of dimensions is associated with a correction term in the secret key rate calculation. The previously derived correction term is loose when the protocol measurements are nearly block-diagonal with respect to the projection onto the reduced finite-dimensional subspace. Here, we provide a tighter correction term. It interpolates between the two extreme cases where all measurement operators are block-diagonal, and where at least one has maximally large off-diagonal blocks. This new correction term can reduce the computational overhead of applying the dimension reduction method by reducing the required dimension of the chosen subspace.