A security proof of quantum cryptography based entirely on entanglement purification

Details A security proof of quantum cryptography based entirely on entanglement purification A security proof of quantum cryptography based entirely on entanglement purification

2001-11-12

arxiv.org/abs/quant-ph/0111066v1

Physics

Quantum Physics

Follow-up paper to quant-ph/0108060, submitted to PRA; 24 pages, revex4

Scientific paper

10.1103/PhysRevA.66.032302

We give a proof that entanglement purification, even with noisy apparatus, is sufficient to disentangle an eavesdropper (Eve) from the communication channel. In the security regime, the purification process factorises the overall initial state into a tensor-product state of Alice and Bob, on one side, and Eve on the other side, thus establishing a completely private, albeit noisy, quantum communication channel between Alice and Bob. The security regime is found to coincide for all practical purposes with the purification regime of a two-way recurrence protocol. This makes two-way entanglement purification protocols, which constitute an important element in the quantum repeater, an efficient tool for secure long-distance quantum cryptography.

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