dorsal/arxiv
View SchemaZero knowledge convincing protocol on quantum bit is impossible
| Authors | Pawel Horodecki, Michal Horodecki, Ryszard Horodecki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0010048 |
| URL | https://arxiv.org/abs/quant-ph/0010048 |
| DOI | 10.22331/q-2017-12-23-41 |
| Journal | Quantum 1, 41 (2017) |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
Consider two parties: Alice and Bob and suppose that Bob is given a qubit system in a quantum state $\phi$, unknown to him. Alice knows $\phi$ and she is supposed to convince Bob that she knows $\phi$ sending some test message. Is it possible for her to convince Bob providing him "zero knowledge" i. e. no information about $\phi$ he has? We prove that there is no "zero knowledge" protocol of that kind. In fact it turns out that basing on Alice message, Bob (or third party - Eve - who can intercept the message) can synthetize a copy of the unknown qubit state $\phi$ with nonzero probability. This "no-go" result puts general constrains on information processing where information {\it about} quantum state is involved.
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"abstract": "Consider two parties: Alice and Bob and suppose that Bob is given a qubit\nsystem in a quantum state $\\phi$, unknown to him. Alice knows $\\phi$ and she is\nsupposed to convince Bob that she knows $\\phi$ sending some test message. Is it\npossible for her to convince Bob providing him \"zero knowledge\" i. e. no\ninformation about $\\phi$ he has? We prove that there is no \"zero knowledge\"\nprotocol of that kind. In fact it turns out that basing on Alice message, Bob\n(or third party - Eve - who can intercept the message) can synthetize a copy of\nthe unknown qubit state $\\phi$ with nonzero probability. This \"no-go\" result\nputs general constrains on information processing where information {\\it about}\nquantum state is involved.",
"arxiv_id": "quant-ph/0010048",
"authors": [
"Pawel Horodecki",
"Michal Horodecki",
"Ryszard Horodecki"
],
"categories": [
"quant-ph"
],
"doi": "10.22331/q-2017-12-23-41",
"journal_ref": "Quantum 1, 41 (2017)",
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Zero knowledge convincing protocol on quantum bit is impossible",
"url": "https://arxiv.org/abs/quant-ph/0010048"
},
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