dorsal/arxiv
View SchemaProof of unconditional security of six-state quantum key distribution scheme
| Authors | Hoi-Kwong Lo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0102138 |
| URL | https://arxiv.org/abs/quant-ph/0102138 |
Abstract
We prove the unconditional security of the standard six-state scheme for quantum key distribution (QKD). We demonstrate its unconditional security up to a bit error rate of 12.7 percents, by allowing only one-way classical communications in the error correction/privacy amplification procedure between Alice and Bob. This shows a clear advantage of the six-state scheme over another standard scheme---BB84, which has been proven to be secure up to only about 11 percents, if only one-way classical communications are allowed. Our proof technique is a generalization of that of Shor-Preskill's proof of security of BB84. We show that a advantage of the six-state scheme lies in the Alice and Bob's ability to establish rigorously from their test sample the non-trivial mutual information between the bit-flip and phase error patterns. A modified version of the degenerate quantum codes studied by DiVincenzo, Shor and Smolin is employed in our proof.
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"abstract": "We prove the unconditional security of the standard six-state scheme for\nquantum key distribution (QKD). We demonstrate its unconditional security up to\na bit error rate of 12.7 percents, by allowing only one-way classical\ncommunications in the error correction/privacy amplification procedure between\nAlice and Bob. This shows a clear advantage of the six-state scheme over\nanother standard scheme---BB84, which has been proven to be secure up to only\nabout 11 percents, if only one-way classical communications are allowed. Our\nproof technique is a generalization of that of Shor-Preskill\u0027s proof of\nsecurity of BB84. We show that a advantage of the six-state scheme lies in the\nAlice and Bob\u0027s ability to establish rigorously from their test sample the\nnon-trivial mutual information between the bit-flip and phase error patterns. A\nmodified version of the degenerate quantum codes studied by DiVincenzo, Shor\nand Smolin is employed in our proof.",
"arxiv_id": "quant-ph/0102138",
"authors": [
"Hoi-Kwong Lo"
],
"categories": [
"quant-ph"
],
"title": "Proof of unconditional security of six-state quantum key distribution scheme",
"url": "https://arxiv.org/abs/quant-ph/0102138"
},
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"execution_id": "97d2eabc-01a8-47e1-a26b-0b3e12909716",
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