Fizikai Tanszék, Graduate School of Science, University of Tokyo, Bunkyo-ku, Tokió 113-0033, Japán
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Absztrakt
Két általános megközelítést dolgozunk ki a kvantumállapotok manipulációjának valószínűségi protokollok segítségével történő jellemzésére, amelyeket bizonyos kvantumerőforrás-elmélet korlátai korlátoznak.
Először egy általános szükséges feltételt adunk meg a kvantumállapotok közötti fizikai transzformáció meglétéhez, amelyet egy nemrégiben bevezetett erőforrás-monoton segítségével kapunk a Hilbert projektív metrika alapján. Valamennyi affin kvantumerőforrás elméletben (pl. koherencia, aszimmetria, imaginárius), valamint az összefonódásos desztillációban megmutatjuk, hogy a monoton szükséges és elégséges feltétele az erőforrás-nem generáló műveletek során az egyszeri erőforrás konvertálhatóságnak, ennélfogva nem jobb. minden valószínűségi protokollra korlátozások lehetségesek. A monotont arra használjuk, hogy javított korlátokat állítsunk fel mind az egyszeri, mind a sok példányos valószínűségi erőforrás-desztillációs protokollok teljesítményében.
Ezt a megközelítést kiegészítve bevezetünk egy általános módszert az erőforrás-transzformációk elérhető valószínűségeinek behatárolására erőforrást nem generáló térképek alapján, konvex optimalizálási problémák családján keresztül. Megmutatjuk, hogy szorosan jellemzi az egylövéses valószínűségi desztillációt az erőforrás-elméletek széles típusaiban, lehetővé téve a valószínűségek és a hibák közötti kompromisszumok pontos elemzését a maximálisan erőforrás-igényes állapotok desztillációjában. Bemutatjuk mindkét megközelítésünk hasznosságát a kvantum-összefonódásos desztilláció tanulmányozásában.
Kiemelt kép: A cikk egy ρ állapot másik ω állapotba való átalakításának lehetőségét vizsgálja általános valószínűségi protokollok segítségével, amelyek csak bizonyos valószínűséggel sikerülnek.
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Idézi
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[2] Bartosz Regula, “Probabilistic Transformations of Quantum Resources”, Physical Review Letters 128 11, 110505 (2022).
[3] Rafael Wagner, Rui Soares Barbosa és Ernesto F. Galvão, „Egyenlőtlenségek a koherenciáról, a nem lokalitásról és a kontextualitásról” arXiv: 2209.02670.
[4] Bartosz Regula, Ludovico Lami és Mark M. Wilde, „Overcoming entropic limitations on asymptotic state transformations through probabilistic protocols”. arXiv: 2209.03362.
A fenti idézetek innen származnak SAO/NASA HIRDETÉSEK (utolsó sikeres frissítés: 2022-09-22 16:22:17). Előfordulhat, hogy a lista hiányos, mivel nem minden kiadó ad megfelelő és teljes hivatkozási adatokat.
Nem sikerült lekérni Az adatok által hivatkozott kereszthivatkozás utolsó próbálkozáskor 2022-09-22 16:22:15: Nem sikerült lekérni a 10.22331/q-2022-09-22-817 hivatkozás által hivatkozott adatokat a Crossref-től. Ez normális, ha a DOI-t nemrég regisztrálták.
Ez a tanulmány a Quantumban jelent meg Creative Commons Nevezd meg 4.0 International (CC BY 4.0) engedély. A szerzői jog az eredeti szerzői jog tulajdonosainál marad, például a szerzőknél vagy intézményeiknél.
