dorsal/arxiv
View SchemaA simpler proof of zero-knowledge against quantum attacks using Grover's amplitude amplification
| Authors | Keiji Matsumoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602186 |
| URL | https://arxiv.org/abs/quant-ph/0602186 |
Abstract
Watrous had presented the first proof of zero-knowledge property of a proof system against a quantum verifier. The key of the proof is the construction of a quantum simulator. In the construction, the 'failure state' is rotated to the 'success' state by a tricky operation which is initially developped for the amplification of QMA proof systems. This manuscript presents a new and simpler construction of a simulator. In the construction, we simply amplify the success probability of a classical simulator using Grover's amplification.
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"abstract": "Watrous had presented the first proof of zero-knowledge property of a proof\nsystem against a quantum verifier. The key of the proof is the construction of\na quantum simulator. In the construction, the \u0027failure state\u0027 is rotated to the\n\u0027success\u0027 state by a tricky operation which is initially developped for the\namplification of QMA proof systems.\n This manuscript presents a new and simpler construction of a simulator. In\nthe construction, we simply amplify the success probability of a classical\nsimulator using Grover\u0027s amplification.",
"arxiv_id": "quant-ph/0602186",
"authors": [
"Keiji Matsumoto"
],
"categories": [
"quant-ph"
],
"title": "A simpler proof of zero-knowledge against quantum attacks using Grover\u0027s amplitude amplification",
"url": "https://arxiv.org/abs/quant-ph/0602186"
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