Approximate reconstructability of quantum states and noisy quantum secret sharing schemes

Ouyang, Y; Goswami, K; Romero, J; Sanders, BC; Hsieh, MH; Tomamichel, M

Approximate reconstructability of quantum states and noisy quantum secret sharing schemes

Ouyang, Y Goswami, K Romero, J Sanders, BC Hsieh, MH Tomamichel, M

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Publisher:: AMER PHYSICAL SOC
Publication Type:: Journal Article
Citation:: Physical Review A, 2023, 108, (1)
Issue Date:: 2023-07-01

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Full metadata record

Field	Value	Language
dc.contributor.author	Ouyang, Y
dc.contributor.author	Goswami, K
dc.contributor.author	Romero, J
dc.contributor.author	Sanders, BC
dc.contributor.author	Hsieh, MH
dc.contributor.author	Tomamichel, M https://orcid.org/0000-0001-5410-3329
dc.date.accessioned	2024-04-01T21:53:04Z
dc.date.available	2024-04-01T21:53:04Z
dc.date.issued	2023-07-01
dc.identifier.citation	Physical Review A, 2023, 108, (1)
dc.identifier.issn	2469-9926
dc.identifier.issn	2469-9934
dc.identifier.uri	http://hdl.handle.net/10453/177395
dc.description.abstract	We introduce and analyze approximate quantum secret sharing in a formal cryptographic setting, wherein a dealer encodes and distributes a quantum secret to players such that authorized structures (sets of subsets of players) can approximately reconstruct the quantum secret and omnipotent adversarial agents controlling nonauthorized subsets of players are approximately denied the quantum secret. In particular, viewing the map encoding the quantum secret shares for players in an authorized structure as a quantum channel, we show that approximate reconstructability of the quantum secret by these players is possible if and only if the information leakage, given in terms of a certain entanglement-assisted capacity of the complementary quantum channel to the players outside the structure and the environment, is small.
dc.language	English
dc.publisher	AMER PHYSICAL SOC
dc.relation	http://purl.org/au-research/grants/arc/DP200102273
dc.relation.ispartof	Physical Review A
dc.relation.isbasedon	10.1103/PhysRevA.108.012425
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject.classification	34 Chemical sciences
dc.subject.classification	49 Mathematical sciences
dc.subject.classification	51 Physical sciences
dc.title	Approximate reconstructability of quantum states and noisy quantum secret sharing schemes
dc.type	Journal Article
utslib.citation.volume	108
pubs.organisational-group	University of Technology Sydney
pubs.organisational-group	University of Technology Sydney/Faculty of Engineering and Information Technology
utslib.copyright.status	closed_access	*
dc.date.updated	2024-04-01T21:53:03Z
pubs.issue	1
pubs.publication-status	Published
pubs.volume	108
utslib.citation.issue	1

Abstract:

We introduce and analyze approximate quantum secret sharing in a formal cryptographic setting, wherein a dealer encodes and distributes a quantum secret to players such that authorized structures (sets of subsets of players) can approximately reconstruct the quantum secret and omnipotent adversarial agents controlling nonauthorized subsets of players are approximately denied the quantum secret. In particular, viewing the map encoding the quantum secret shares for players in an authorized structure as a quantum channel, we show that approximate reconstructability of the quantum secret by these players is possible if and only if the information leakage, given in terms of a certain entanglement-assisted capacity of the complementary quantum channel to the players outside the structure and the environment, is small.

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http://hdl.handle.net/10453/177395