Kalit so‘zlar
Abstrak
Ushbu maqolada variatsion kvant algoritmlarida optimal parametrlar sonini aniqlash masalasi tadqiq etiladi. Variatsion kvant algoritmlarining hisoblash samaradorligi parametrik kvant ansatzning ifodaviyligi va undagi parametrlar soniga bevosita bog‘liq. Parametrlar sonining ortishi kvant holatlar fazosini kengroq ifodalash imkonini bersa-da, optimallashtirish fazosining o‘lchami, kvant sxemasi chuqurligi va hisoblash xarajatlarining oshishiga olib keladi. Shu sababli masalani yetarli aniqlikda yechish imkonini beradigan minimal parametrlar sonini aniqlash muhim hisoblanadi. Mazkur tadqiqotda ushbu masalani hal qilish uchun Kvant Fisher axborotiga asoslangan parametr tanlash usuli taklif etiladi. Parametrik kvant holat uchun QFI matritsasi shakllantirilib, uning xos qiymatlari asosida umumiy kvant axborotining parametrik yo‘nalishlar bo‘yicha taqsimlanishi aniqlanadi. QFI axborotining kumulyativ ulushi va yangi parametr kiritilganda hosil bo‘ladigan marginal axborot o‘sishi asosida optimal parametrlar sonini aniqlash mezoni shakllantiriladi. Taklif etilgan yondashuv variatsion kvant algoritmlarida parametrlar sonini faqat empirik ravishda emas, balki kvant axborot-geometrik xususiyatlari asosida aniqlash imkonini beradi.
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