khathritt

moonnu paraspara oorthoogoonal kwaandam avasthakalude superpositionil aayirikkavunna oru 3-level kwaandam sisttam saakshaathkarikkunna kwaandam vivarangalude oru yoonittaan kvutritt (allengil kwaandam tritt).
rund oorthoogoonal avasthakalude superposition upayogichu vivarikkunna kwaandam sisttamaaya cubit classical radics-3 trittinu samaanamaan, athupole thanne kwatrit classical radics-2 bittinum samaanamaan.
onniladhikam avasthakalulla kwaathrithukalum kyubittukalum upayogichu kwaandam computerukal vikasippikkanulla pravartthanangal nadakkunnundu.
praathinidhyam.
oru kwaathrithinu moonnu oorthoonoormal adisthaana avasthakalo vektarukaloo undu, palappozhum formula _ 1, formula _ 2, formula _ 3 enniva diarac allengil braa-kettu notteshanil soochippikkunnu.
moonnu oorthoonoormal adisthaana avasthakalude rekheeya samyojanathinte roopathil oru superposition stettu vektaraayi kwaathrithine vivarikkan iva upayogikkunnu
gunakangal sankeernamaaya probability aamplityoodukalaayirikkum, avayude squareukalude aakethuka yoonitti (normalisation) aannu
kyubittinte oorthoonoormal basis formula _ 6 dvimaana sankeernamaaya hilbert space formula _ 7 ll vyaapichukidakkunnu, ithu oru spin-1/2 kanikayude spin-apinum spin-dauninum anusrithamaanu. kwaathrattukalkku uyarnna alavilulla oru hilbert space aavasyamaanu, athaayath kwaathrithinte adisthaana soothravaakyam _ 9 vyaapichukidakkunna trimana soothravaakyam _ 8, ithu oru thri-thala kwaandam systethinu thirichariyaan kazhiyum.
oru "n"-kwatrit rajisttarinu oresamayam 3 "n" vyathyastha avasthakale prathinideekarikkaan kazhiyum, i.iii.3 "n"-dimensional complexes hilbert speysile oru superposition stettu vekttar.
kwaandam vivarangal sambharikkunnathin upayogikkumbol kuthrithukalkku niravadhi savisheshathakalundu. udaaharanathinu, chila paaristhithika edapedalukalkku keezhil avaa decoherencinu kooduthal shakthamaan. vaasthavathil, kwaathrithukale nerittu kaikaaryam cheiyunnathu budhimuttaayirikkum, athinulla oru maarggam oru cubitumaayi oru ketturapp upayogikkuka ennathaanu.
kwatrit kwaandam gettukal.
single kwaathraittukalil pravartthikkunna kwaandam lojik gettukal formula 10 unitory maatriksukalum formula 11 kwaathraittukalude rajisttarukalil pravartthikkunna gettukal formula 12 unitory maatriksukalumaan (yathaakramam unitory grouppukalaaya u (3), u (3n) ennivayude gadakangal).
suu (3)-nte bhramana oopparettar gettukal formula 13 aanu, ivide formula 14 ennathu "a" th jell-maan matricks aanu, formula 15 oru yadhaartha moolyamaanu (pyriid formula 16-noppam). matricks exponentialinte lye aljibra ivide nalkiyirikkunnu. gluyon edapedalukalkku ore rotteshan oopparettarmaare upayogikkunnu, avide moonnu adisthaana avasthakal sakthamaaya edapedalukalude moonnu nirangalaanu.
kwaathrithinte aagola ghatta shift gettu formula 17 aanu, avide ghatta ghadaka formula 18 neey "aagola ghattam" ennu vilikkunnu.
eee phase gettu mapping formula _ 19 nirvahikkunnu, koodaathe 8 rotteshan oopparettarmaarumaayi chernnu paramavadhi 9 gettukalude seerees sarkyoottaayi yuu (3) ll eathu single-kwatrit gettum prakadippikkaan kazhiyum.

