1Skupni center za kvantne informacije in računalništvo, NIST/Univerza v Marylandu, College Park, Maryland 20742, ZDA
2Joint Quantum Institute/NIST, University of Maryland, College Park, Maryland 20742, ZDA
3InQubator za kvantno simulacijo (IQuS), Oddelek za fiziko, Univerza v Washingtonu, Seattle, WA 98195, ZDA.
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Minimalizem
Naključni merilni protokoli, vključno s klasičnimi sencami, tomografijo zapletanja in randomizirano primerjalno analizo, so zmogljive tehnike za ocenjevanje opazovanih, izvajanje tomografije stanja ali ekstrahiranje lastnosti zapletanja kvantnih stanj. Medtem ko je razkritje zapletene strukture kvantnih stanj na splošno težko in zahteva veliko virov, so kvantni sistemi v naravi pogosto močno omejeni s simetrijami. To je mogoče izkoristiti s simetrično osveščenimi randomiziranimi merilnimi shemami, ki jih predlagamo, kar prinaša jasne prednosti pred simetrično slepo randomizacijo, kot je zmanjšanje stroškov merjenja, omogočanje zmanjševanja napak, ki temeljijo na simetriji, v poskusih, omogočanje diferenciranih meritev (mrežne) strukture prepletenosti teorije merilnikov, in potencialno preverjanje topološko urejenih stanj v obstoječih in bližnjih poskusih. Bistveno je, da je za razliko od simetrično slepih randomiziranih merilnih protokolov te zadnje naloge mogoče izvesti brez ponovnega učenja simetrij s popolno rekonstrukcijo matrike gostote.
Predstavljena slika: Shematska ilustracija našega naključnega merilnega protokola, ki se zaveda simetrije, ki ohranja simetrično strukturo stanj v primerjavi s pristopi, ki ne upoštevajo simetrije.
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Navedel
[1] Niklas Mueller, Joseph A. Carolan, Andrew Connelly, Zohreh Davoudi, Eugene F. Dumitrescu in Kübra Yeter-Aydeniz, "Kvantno računanje dinamičnih kvantnih faznih prehodov in zapletena tomografija v teoriji merilne mreže", PRX Quantum 4 3, 030323 (2023).
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[3] Dongjin Lee in Beni Yoshida, »Naključno spremljane kvantne kode«, arXiv: 2402.00145, (2024).
[4] Yongtao Zhan, Andreas Elben, Hsin-Yuan Huang in Yu Tong, "Učenje ohranitvenih zakonov v neznani kvantni dinamiki", arXiv: 2309.00774, (2023).
[5] Edison M. Murairi in Michael J. Cervia, "Zmanjšanje globine vezja s kubitno diagonalizacijo", Fizični pregled A 108 6, 062414 (2023).
[6] Jesús Cobos, David F. Locher, Alejandro Bermudez, Markus Müller in Enrique Rico, "Noise-aware variational eigensolvers: a dissipative route for lattice gauge theories", arXiv: 2308.03618, (2023).
[7] Lento Nagano, Alexander Miessen, Tamiya Onodera, Ivano Tavernelli, Francesco Tacchino in Koji Terashi, "Učenje kvantnih podatkov za kvantne simulacije v fiziki visokih energij", Fizični pregled raziskav 5 4, 043250 (2023).
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