dorsal/arxiv
View SchemaEntanglement in Interactive Proof Systems with Binary Answers
| Authors | Stephanie Wehner |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0508201 |
| URL | https://arxiv.org/abs/quant-ph/0508201 |
| DOI | 10.1007/11672142_12 |
| Journal | Proc. of 23rd STACS, 2006, LNCS 3884, pages 162-171. |
Abstract
If two classical provers share an entangled state, the resulting interactive proof system is significantly weakened [quant-ph/0404076]. We show that for the case where the verifier computes the XOR of two binary answers, the resulting proof system is in fact no more powerful than a system based on a single quantum prover: +MIP*[2] is contained in QIP(2). This also implies that +MIP*[2] is contained in EXP which was previously shown using a different method [Presentation of Cleve et al. at CCC'04]. This contrasts with an interactive proof system where the two provers do not share entanglement. In that case, +MIP[2] = NEXP for certain soundness and completeness parameters [quant-ph/0404076].
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"abstract": "If two classical provers share an entangled state, the resulting interactive\nproof system is significantly weakened [quant-ph/0404076]. We show that for the\ncase where the verifier computes the XOR of two binary answers, the resulting\nproof system is in fact no more powerful than a system based on a single\nquantum prover: +MIP*[2] is contained in QIP(2). This also implies that\n+MIP*[2] is contained in EXP which was previously shown using a different\nmethod [Presentation of Cleve et al. at CCC\u002704]. This contrasts with an\ninteractive proof system where the two provers do not share entanglement. In\nthat case, +MIP[2] = NEXP for certain soundness and completeness parameters\n[quant-ph/0404076].",
"arxiv_id": "quant-ph/0508201",
"authors": [
"Stephanie Wehner"
],
"categories": [
"quant-ph",
"cs.CC"
],
"doi": "10.1007/11672142_12",
"journal_ref": "Proc. of 23rd STACS, 2006, LNCS 3884, pages 162-171.",
"title": "Entanglement in Interactive Proof Systems with Binary Answers",
"url": "https://arxiv.org/abs/quant-ph/0508201"
},
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