We consider a possible candidate for the development of Quantum devices, the transmon qubit model. In thesis work we demonstrate that this model is in compliance with the typical requests for qubit implementation: two-level system, fast single-qubit and multi-qubit control and measurement. Then, we compare the transmon model with some necessary physical assumptions behind the so-called Fault-Tolerant Quantum Error Correction physical assumptions, which are considered to be incompatible by R. Alicki. We show that the Weak Coupling limit approach, discussed by R. Alicki in order to deal with quantum devices as open quantum system in interaction with their environment, can not be applied, because of the model mesoscopic dimensions. Thus, it is difficult to describe their dynamics by means of a Markovian Master equation; in fact the sources of noise are not easily pinpointed in the mesoscopic regime. Consequently, we conclude that the compatibility issue of Alicki’s conditions can be circumvented by the possibility that the mesoscopic behavior of transmons might be non-Markovian.
I qubit transmonici rendono fattibile la computazione quantistica?
ALBERTAN MIN, FEDERICO GUGLIELMO
2019/2020
Abstract
We consider a possible candidate for the development of Quantum devices, the transmon qubit model. In thesis work we demonstrate that this model is in compliance with the typical requests for qubit implementation: two-level system, fast single-qubit and multi-qubit control and measurement. Then, we compare the transmon model with some necessary physical assumptions behind the so-called Fault-Tolerant Quantum Error Correction physical assumptions, which are considered to be incompatible by R. Alicki. We show that the Weak Coupling limit approach, discussed by R. Alicki in order to deal with quantum devices as open quantum system in interaction with their environment, can not be applied, because of the model mesoscopic dimensions. Thus, it is difficult to describe their dynamics by means of a Markovian Master equation; in fact the sources of noise are not easily pinpointed in the mesoscopic regime. Consequently, we conclude that the compatibility issue of Alicki’s conditions can be circumvented by the possibility that the mesoscopic behavior of transmons might be non-Markovian.File | Dimensione | Formato | |
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https://hdl.handle.net/20.500.14240/153116