Sintetični Hilbertov prostor prostih elektronov, ki jih poganja laser

Sintetični Hilbertov prostor prostih elektronov, ki jih poganja laser

Guy Braiman, Ori Reinhardt, Chen Mechel, Omer Levi in ​​Ido Kaminer

Oddelek za elektrotehniko in računalništvo ter Inštitut za trdno stanje, Technion – Izraelski inštitut za tehnologijo, 32000 Haifa, Izrael

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Minimalizem

Nedavni napredek v laserskih interakcijah s koherentnimi prostimi elektroni je omogočil oblikovanje kvantnega stanja elektronov. Vsak elektron postane superpozicija energijskih ravni na neskončni kvantizirani lestvici, za katero je prikazano, da vsebuje do tisoče energijskih ravni. Predlagamo, da uporabimo kvantno naravo takšnih lasersko vodenih prostih elektronov kot "sintetični Hilbertov prostor", v katerem konstruiramo in nadzorujemo qudite (kvantne števke). Vprašanje, ki motivira naše delo, je, do katerih stanj qudit je mogoče dostopati z uporabo elektronsko-laserskih interakcij in ali je mogoče implementirati poljubna kvantna vrata. Najdemo, kako kodirati in manipulirati s stanji qudita prostih elektronov, pri čemer se osredotočamo na dimenzije, ki so potence števila 2, kjer qudit predstavlja več qubitov, implementiranih na istem posameznem elektronu – algebraično ločenih, a fizično združenih. Kot primer dokazujemo možnost popolnega nadzora 4-dimenzionalnega qudita in razkrivamo korake, potrebne za popoln nadzor nad katero koli poljubno dimenzijo. Naše delo bogati paleto aplikacij prostih elektronov v mikroskopiji in spektroskopiji ter ponuja novo platformo za kvantne informacije z zveznimi spremenljivkami.

Danes se preučujejo različne platforme za kvantno obdelavo informacij. V tem delu predlagamo novo platformo za zvezno spremenljive kvantne informacije – proste elektrone. Predlagamo uporabo ravni energije na kvantizirani lestvici enega samega lasersko vodenega prostega elektrona kot "sintetičnega Hilbertovega prostora", v katerem lahko konstruiramo in nadzorujemo qudite (kvantne števke).

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