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effettozenonequantisticoecontrollodelladecoerenza milano 23marzo2007 paolofacchidipartimentodimatematica universit dibari quantumzenoeffect fundamentals qze fundamentals quantumzenoeffect repeatedobservationinsuccessioninhibittransitionsoutside theorem misraandsudarshan j math phys 18 756 1977 quantumzenoparadox anobservedparticledoesnotevolve zenoofelea atanygivenmomentitisinaspaceequaltoitsownlength andthereforeisatrestatthatmoment so it satrestatallmoments thesumofaninfinitenumberofthesepositionsofrestisnotamotion zenowasaneleaticphilosopher anativeofeleainitaly sonofteleutagoras andthefavoritediscipleofparmenides hewasbornabout488bc andattheageoffortyaccompaniedparmenidestoathens theflyingarrowisatrest peres am j phys 48 931 1980 example spin neutronspin pascazio namiki badurek rauch phys lett a169 155 1993 history vonneumann 1932beskowandnilsson 1967khalfin1968friedman1972misraandsudarshan 1977 experiments cook1988 itano heinzen bollinger andwineland1990nagels hermans andchapovsky1997balzer huesmann neuhauser andtoschek 2000wunderlich balzer andtoschek 2001wilkinson bharucha fischer madison morrow niu sundaram andraizen 1997 fischer b gutierrez medina andraizen 2001 theoryandinterestingmathematics notquoted vestaii isis jericha schwab jakel carlile rauch physicab283 414 2000 rauch physicab297 299 2001 areprojections lavonneumannnecessary no adynamicalexplanationcanbegiven intermsoftheschroedingerequation andinvolvingnoprojectionoperators wigner am j phys 1963petrosky tasaki prigogine pla1990 physica1991pascazio namiki pra1994thisisbestprovenbylookingatsomeexamples whatreallyprovokeszeno incompletemeasurements nonselectivemeasurements p f andpascazio phys rev lett 89 080401 2002 unitarykicks quantummapsberry balazs tabor voros 1979 casati chirikov fordandizrailev 1979 violaandlloyd phys rev a58 2733 1998 viola knillandlloyd phys rev lett 82 2417 1999 byrdandlidar quant inf proc 1 19 2002 p f lidar pascazio phys rev a69 032314 2004 dynamicaldecoupling bang bang control continuouscoupling p f andpascazio phys rev lett 89 080401 2002 dynamicalsuperselectionsectors quantumzenosubspaces thequantumzenodynamics isthezenodynamicsunitary answer undergeneralhypothesesyes misraandsudarshan1977 semigroup friedman1972facchi gorini marmo pascazio sudarshan2000facchi pascazio scardicchio schulman2002exner ichinose2003 freeparticleinddimensions howdoestheparticlemoveinsidew doesitleaksout freeparticleinaboxwithperfectlyreflectinghardwalls p f pascazio scardicchio schulman2002p f marmo pascazio scardicchio sudarshan2003 althoughthereisnowall measurements lavonneumann projections unitarykicks bang bangcontrol differentmanifestationsofthesamephysicalphenomenon continuouscoupling projections zenolimit kicks zenolimit continuouscoupling zenolimit simonius1978harris stodolsky1982 mainobjective understandandsuppressdecoherence decoherence freesubspacespalma suominenandekert 1996 duanandguo 1997 zanardiandrasetti 1997 lidar chuangandwhaley 1998 viola knillandlloyd 1999 vitaliandtombesi 1999 2001 beige braun tregennaandknight 2000 tasaki tokuse p f pascazio 2002 p f lidarandpascazio 2004 benenti casati montangero shepelyansky 2001 vitali tombesi milburn 1997 1998 fortunato raimond tombesi vitali 1999 kofman kurizki 2001 calarco datta fedichev pazy zoller spin basedall opticalquantumcomputationwithquantumdots understandingandsuppressingdecoherence 2003 falci 2003 relevanttimescales p f nakazatoandpascazio phys rev lett 86 2699 2001 experimentbyfischer guti rrez medinaandraizen phys rev lett 87 040402 2001 ize howfrequentorstrongmustbethecoupling qze undisturbed notice mainidea couplingkfrequencyn enhancementofdecoherence controlofdecoherence theproblem unstablesystems unstablesystemsandinversezeno framework decoherence liouvillian hilbertspaces framework cont d initialstateoftotalsystem evolvedstateofsystem decoherenceif notunitarilyequivalentto computationalsubspace system bathinteraction gardiner zoller formfactor polynomialandexponentialcase formfactors fullline exponential dashedline polynomialformfactor controlleddynamics important control protection enhancement p f tasaki pascazio nakazato tokuse lidar phys rev a71 022302 2005 measurements measurements smalltimes kicks kicks smalltimes continuouscoupling strong continuouscoupling comparison comparison smalltimes1 n strongcouplingk remarkabledifferences zenocontrol non unitary bangban

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