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基于腔QED技术的量子信息的多方秘密共享(英文) QuantumInformationMulti-PartySecretSharingbasedonCavityQEDTechnology Introduction: Quantuminformationtheoryisarapidlygrowingfieldofresearchwithexcitingpotentialfornovelapplicationsincomputing,communication,cryptography,andmetrology.Oneofthemostimportantpillarsofquantuminformationtheoryisquantumkeydistribution(QKD),whichenablessecurecommunicationbetweenpartieswithouttheriskofinterceptionoreavesdropping.Multi-partysecretsharingisageneralizationofQKD,wheremultiplepartiesshareasecretkeywithoutrevealinginformationtoeachother.Inthispaper,wewillexploremulti-partysecretsharingbasedoncavityQEDtechnology. CavityQEDtechnology: CavityQED(QuantumElectrodynamics)isafieldofresearchthatstudiestheinteractionbetweenlightandmatterinaconfinedspace,typicallyacavity.Acavityisaboxwithhighlyreflectivewalls,whichtrapslightandformsstandingwavesinside.Whenmatter,suchasatomsorions,isplacedinthecavity,itcaninteractwiththeconfinedphotons,leadingtonovelandinterestingquantumphenomena.Inparticular,cavityQEDtechnologyenablesstrongcouplingbetweenindividualquantumsystemsandphotons,whichiscrucialformanyquantuminformationexperiments. Multi-partysecretsharing: Multi-partysecretsharingisaprotocolwheremultiplepartiesshareasecretkeywithoutrevealinginformationtoeachother.Themostcommonapproachtomulti-partysecretsharingisthethresholdscheme,wherethekeyisdividedintoshares,andeachshareisdistributedtoadifferentparty.Toreconstructthekey,aminimumnumberofparties,calledthethreshold,mustcooperateandcombinetheirshares.Forexample,ina(n,m)thresholdscheme,thekeyisdividedintonshares,andanympartiescanreconstructthekey.However,lessthanmpartieshavenoinformationaboutthekey. CavityQED-basedmulti-partysecretsharing: Recently,therehavebeenseveralproposalsforimplementingmulti-partysecretsharingusingcavityQEDtechnology.Intheseschemes,thekeyisencodedinthequantumstateofthecavity,andindividualpartiesmanipulatethecavityusingtheirownquantumsystems,suchasatomsorions.Bycarefullycontrollingtheinteractionsbetweenthec

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