dorsal/arxiv
View SchemaUnified criterion for security of secret sharing in terms of violation of Bell inequality
| Authors | Aditi Sen De, Ujjwal Sen, Marek Zukowski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302156 |
| URL | https://arxiv.org/abs/quant-ph/0302156 |
| DOI | 10.1103/PhysRevA.68.032309 |
| Journal | Phys. Rev. A 68, 032309 (2003) |
Abstract
In secret sharing protocols, a secret is to be distributed among several partners so that leaving out any number of them, the rest do not have the complete information. Strong multiqubit correlations in the state by which secret sharing is carried out, had been proposed as a criterion for security of such protocols against individual attacks by an eavesdropper. However we show that states with weak multiqubit correlations can also be used for secure secret sharing. That our state has weak multiqubit correlations, is shown from the perspective of violation of local realism, and also by showing that its higher order correlations are described by lower ones. We then present a unified criterion for security of secret sharing in terms of violation of local realism, which works when the secret sharing state is the Greenberger-Horne-Zeilinger state (with strong multiqubit correlations), as well as states of a different class (with weak multiqubit correlations).
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"abstract": "In secret sharing protocols, a secret is to be distributed among several\npartners so that leaving out any number of them, the rest do not have the\ncomplete information. Strong multiqubit correlations in the state by which\nsecret sharing is carried out, had been proposed as a criterion for security of\nsuch protocols against individual attacks by an eavesdropper. However we show\nthat states with weak multiqubit correlations can also be used for secure\nsecret sharing. That our state has weak multiqubit correlations, is shown from\nthe perspective of violation of local realism, and also by showing that its\nhigher order correlations are described by lower ones. We then present a\nunified criterion for security of secret sharing in terms of violation of local\nrealism, which works when the secret sharing state is the\nGreenberger-Horne-Zeilinger state (with strong multiqubit correlations), as\nwell as states of a different class (with weak multiqubit correlations).",
"arxiv_id": "quant-ph/0302156",
"authors": [
"Aditi Sen De",
"Ujjwal Sen",
"Marek Zukowski"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.032309",
"journal_ref": "Phys. Rev. A 68, 032309 (2003)",
"title": "Unified criterion for security of secret sharing in terms of violation of Bell inequality",
"url": "https://arxiv.org/abs/quant-ph/0302156"
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