Acín Antonio, Masanes Lluis, Gisin Nicolas
GAP-Optique, University of Geneva, 20, Rue de l'Ecole de Médecine, CH-1211 Geneva 4, Switzerland.
Phys Rev Lett. 2003 Oct 17;91(16):167901. doi: 10.1103/PhysRevLett.91.167901. Epub 2003 Oct 13.
We study the problem of secret key distillation from bipartite states in the scenario where Alice and Bob can perform measurements only at the single-copy level and classically process the obtained outcomes. Even with these limitations, secret bits can be asymptotically distilled by the honest parties from any two-qubit entangled state, under any individual attack. Our results point out a complete equivalence between two-qubit entanglement and secure key distribution: a key can be established through a one-qubit channel if and only if it allows one to distribute entanglement. These results can be generalized to a higher dimension for all those states that are one-copy distillable.
我们研究了在爱丽丝和鲍勃只能在单拷贝层面进行测量并对所得结果进行经典处理的场景下,从二分态中提取秘密密钥的问题。即便存在这些限制,在任何个体攻击下,诚实方都能从任意两比特纠缠态中渐近地提取出秘密比特。我们的结果指出了两比特纠缠与安全密钥分发之间的完全等价性:当且仅当一个单比特信道允许分发纠缠时,才能通过该信道建立密钥。这些结果可以推广到所有可单拷贝提取的更高维状态。