vahini-sthitee dwaitata

quantum mahitee siddhantat, vahini-sthitee dwaitata mhanje quantum vahinya aanee quantum avasthanmadhil (ghanata matrixdware varnan kelele) parasparsanvad. vegalya prakare, dwaitata mhanje 'aaa' teey 'see' aine '×' aine 'paryantchya purnapane sakaratmak nakashanmadhil (vahinyanmadhil) samarupata, jethe' aii 'haah see *-bijganit aahe aanee see' aine '×' aine 'heey' aine '×' aine 'jatil nondi darshavate aanee tensor utpadanavaril sakaratmak resheey karye (sthitee) darshavate.
tapasheel.
h" 1 aanee "h" 2 (maryadit-aayami) hilbert space asoo dya. hye' varr kaam kaam rekheey operatorche kutumb 'ell' ('hye') dware darshavile jaeel. 1 aanee 2 neey anukramit kelelya done quantum pranalincha vichar qaraa, jyanchya avastha anukrame "l" ("hye") madheel ghanata matricks aahet. schroedinger chitratil quantum vahini hii purnapane sakaratmak (thodakyat see. pii.), trace-jatan karnara resheey nakasha aahe.
jeey pranali 1 chee sthitee pranali 2 chya sthiteet gheuun jaate. pudhe, aapan φ shhee sambandhit duheri sthitiche varnan karato.
eae. aay. jeey.' heey matricks ekak darshavuya jyachi 'aay. aay. jee.'-th nond 1 aahe aanee itaratra shoonya aahe. (operator) matricks
yala φ chaa "choi matricks" mhanatat. purnapane sakaratmak nakashanvaril choichya prameyanusar, jarr aanee keval jarr "ρ" φ sakaratmak asel (ardh-anant) tarach φ haah cp aahe. ekhadi vyakti "ρ" φ laa ghanata matricks mhanoon pahoo shakate aanee mhanoon sthitee duheri teey φ aahe.
vahinya aanee rajye yanchyatil dwaitata hii nakashala sandarbhit karate
eka resheey dwibhajan. yaa nakashala jamiolokovsky samarupata kinwa choi-jamiyolokovsky samarupata asehi mhanatat.
anuprayog.
yaa samarupatecha vapar heey darshavinyasathi keela jaato qee quantum qee vitaran (kyu. keey. dii.) protocol, jase qee see. neey tayar kelelya bii. bii. 84 protocol. etch. bennet aanee jee. brassard heey 'aii' dware sadar kelelya 'entanglement-based' kyu. keey. dii. protocolchya samatulya aahet. keey. ackert. hyavar adhik tapasheel eae. madhye aadhalu shakato.jee. emm. dware quantum mahitee siddhant yaa pustakat. jangali.

