Mentor: prof. dr. Rok Žitko
Seminar, 3. letnik, Download PDF
Oddelek za fiziko, FMF, UL, 2022/2023
Abstract
In quantum mechanics, we encounter some physical phenomena that are unfamiliar from classical physics. However strange, this new physics enables us to develop technologies that would not be possible within the framework of classical physics. One such example is the no-cloning theorem, which provides the theoretical foundation for a large family of quantum cryptographic protocols. In this seminar, we review the basic concepts of quantum information theory, derive and prove the no-cloning theorem, and use it to solve the problem of counterfeiting money under the principles of unconditional security. The introduced quantum cryptographic protocol is called quantum money. We comment some possible protocol upgrades.
Povzetek
V kvantni mehaniki srečamo nekatere fizikalne pojave, ki jih iz klasične fizike nismo vajeni. Čeprav čudna, nam takšna nova fizika omogoča razvoj tehnologij, ki v okviru klasične fizike ne bi bile mogoče. Takšen primer je izrek o prepovedi kloniranja, ki predstavlja teoretično osnovo za veliko družino kvantnih kriptografskih protokolov. V okviru tega seminarja preletimo osnovne koncepte kvantne informacijske teorije, izpeljemo in dokažemo izrek o prepovedi kloniranja ter z njegovo pomočjo teoretično varno rešimo problem ponarejanja denarja. Vpeljan kvantni kriptografski protokol imenujemo kvantni denar. Komentiramo tudi nekatere njegove nadgradnje.
Language of the seminar is Slovenian 🇸🇮