PDF-IEEETRANSACTIONSONINFORMATIONTHEORY,VOL.52,NO.8,AUGUST2006OptimalSuper
Author : cheryl-pisano | Published Date : 2015-11-07
qubitquantumstatecouldbecommunicatedtoareceiverbyphysicallytransmittingonly qubitsinadditiontoconsuming ebitsofentanglementandsomesharedrandomnessWhenthestatestobepreparedareentangledwe
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IEEETRANSACTIONSONINFORMATIONTHEORY,VOL.52,NO.8,AUGUST2006OptimalSuper: Transcript
qubitquantumstatecouldbecommunicatedtoareceiverbyphysicallytransmittingonly qubitsinadditiontoconsuming ebitsofentanglementandsomesharedrandomnessWhenthestatestobepreparedareentangledwe. withthefollowingstructuralproperties:1)eachrowconsistsof “ones”;2)eachcolumnconsistsof “ones”;3)thenumberof“ones”incommonbetweenanytwocolumns, ,isnogreaterthan ;4)both an loglog log(5)istheshiftoperator,(,foreach.Theactionofonthefunctionisgivenby):=denotesshift-invariantprobabilitymeasures.Forwede (thetotalnumberofusers)andlength .Wepresentbinaryfingerprintingcodessecureagainstsize- tionswhichenablethedistributor(decoder)torecoveratleastoneoftheusersfromthecoalitionwithprobabilityoferrorexp( fo concatenatedzigzagcodewithfourconstituentencoderswithinterleaverlength65536,yieldsabiterrorrate(BER)of at0.9dBand1.4dBawayfromtheShannonlimitbyoptimal(APP)andlow-costsuboptimal(MLA)decoders,respective VOL. XXXIV—NO. 2 2013 VOL. XXXIV—NO. 2 2013 VOL. XXXIV—NO. 2 2013 VOL. XXXIV—NO. 2 2013 LETTERS CONSCIENCE VOL. XXXIV—NO. 2 2013 LETTERS CONSCIENCE VOL. XXXIV—NO. 2 ;inthissimplesetuptheTCis (1)where isthexeddistancebetweeneachtransmitterreceiverpairand isthepath-lossexponent.Notethat unitsofexpectednumberofsuccessfultransmissionsperunitRelationshiptoTransportCap Fig.1.Sensornodesdeployedtomeasureambienttemperature.sensornetworks,thecomputationalpowerandenergyresourcesmaybeverylimited.Theseconstraintsmotivatethedesignofsimpledecentralizedalgorithmsforcomputati right-handsideof(44) jDj (p2)n+p 2 l rrArrr( p) r h(l) )=(+1) s=0rs s(p+1) =1 jDj (p2)n+p 2 l=0 rrrArrr( p)n =1 1)(andtheassertionofthelemmafollows. [1]A.AshikhminandS.Litsyn,“Upperboundsofthesi -regularLDPCcode,forexample,thecomplexityofencodingisessentiallyquadraticintheblocklength.However,we 100000isstillquitepractical.Moreimportantly,wewillshowthat“optimized”codesactuallyadmitli TROPPetal.:DESIGNINGSTRUCTUREDTIGHTFRAMESVIAANALTERNATINGPROJECTIONMETHOD189Notethatthereisamajorconceptualdifferencebetweentheuseofnitemodelsinthenumericalcalculationofinmensionalframesandthedesignof Fig.1.Two-userGaussianinterferencechannel.basicinformationtheorymodeltostudythisquestionisthetwo-userGaussianinterferencechannel,wheretwopoint-to-point Authorized licensed use limited to: Hewlett-Pack =min( transmitantennas,where isthenumberofreceiveantennasand isthelengthofthecoherenceinterval,whereasatlowSNR,themutualinformationismaximizedbyallocatingalltransmitpowertoasingleantenna.IndexTerms (1)where isaknownmatrixwithunit-normcolumns, asparsecoef ,user ndsthetwocodewordscorrespondingtocomponents andalsouniformlychoosesacodeword from .User thenaddsallthesecodewordsandtransmitstheresultingcodeword ,sothatitactuallytransmitsoneof codewords.Let No
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