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THE COUPLING OF A DOUBLE QUANTUM DOT TO MICROWAVE PHOTONS

Abrash, Mohamed LU (2023) FYSK02 20222
Mathematical Physics
Department of Physics
Abstract
In this study, we derive a mathematical description of a double quantum dot (DQD) embedded in a microwave resonator starting from classical electrostatics. DQDs are a promising platform for building quantum computers and have important applications in quantum sensing and the study of light-matter interactions. Recently, a higher-order sweet spot was discovered, where the DQD is theorized to have improved coherence time. We investigate the coupling strength between the microwave photons and the DQD operating at the higher-order sweet spot, and determine the Rabi frequencies for the case of a strongly driven oscillator in resonance with the DQD energy splitting. This work provides a useful foundation for further research on DQDs and their... (More)
In this study, we derive a mathematical description of a double quantum dot (DQD) embedded in a microwave resonator starting from classical electrostatics. DQDs are a promising platform for building quantum computers and have important applications in quantum sensing and the study of light-matter interactions. Recently, a higher-order sweet spot was discovered, where the DQD is theorized to have improved coherence time. We investigate the coupling strength between the microwave photons and the DQD operating at the higher-order sweet spot, and determine the Rabi frequencies for the case of a strongly driven oscillator in resonance with the DQD energy splitting. This work provides a useful foundation for further research on DQDs and their potential applications in quantum computing and other fields. (Less)
Popular Abstract
In the late 1900s, quantum mechanics emerged as one of the most significant breakthroughs in physics. It revolutionized our understanding of the microscopic world, providing insights into the behavior of light, atoms, subatomic particles, and nanoscopic structures. This theory has since become a fundamental part of modern physics and has been the driving force behind many technological advancements. One of the most notable of these advancements is the development of quantum computers, which have the potential to revolutionize various fields such as cybersecurity, weather forecasting, and the simulation of complex molecules. The recognition of the potential of quantum computers has led to a surge in investment by major economic forces, as... (More)
In the late 1900s, quantum mechanics emerged as one of the most significant breakthroughs in physics. It revolutionized our understanding of the microscopic world, providing insights into the behavior of light, atoms, subatomic particles, and nanoscopic structures. This theory has since become a fundamental part of modern physics and has been the driving force behind many technological advancements. One of the most notable of these advancements is the development of quantum computers, which have the potential to revolutionize various fields such as cybersecurity, weather forecasting, and the simulation of complex molecules. The recognition of the potential of quantum computers has led to a surge in investment by major economic forces, as they seek to harness their powers.

The building blocks of quantum machines are known as quantum bits or qubits. Qubits are the fundamental unit of information used in quantum computers, whereas bits are used in classical computers to store information. Bits are binary units that can be either 0 or 1, while qubits can be in a superposition of 0 and 1 simultaneously, with different probabilities. This superposition, a key feature of quantum physics, gives quantum computers the ability to perform calculations that are difficult to execute on classical computers.

Creating qubits is a real challenge, largely due to the phenomenon of decoherence. This occurs when the tiny particles that make up a quantum computer interact with their environment, causing them to lose their special quantum properties and making them harder to use for quantum computing. To overcome this, scientists are searching for systems that interact less with their environment but can still be controlled and used for quantum computing.

Today, qubits are made in various ways, such as by cooling molecules or atoms using lasers in what is known as trapped ions, or by using superconducting circuits. One of the new methods of making qubits is to use quantum dots. Quantum dots are nanoscopic devices that can be used to trap one or two electrons and harness their quantum properties. Quantum dots can be thought of as small boxes that offer shelter for the electrons, protecting them from decoherence, while still allowing us to influence them by sending microwaves into the dots. In my bachelor's project, I study these systems to understand their mathematical description and to find out if it is possible to influence the electrons in quantum dots using microwaves while providing them with the best protection against decoherence. (Less)
Please use this url to cite or link to this publication:
author
Abrash, Mohamed LU
supervisor
organization
course
FYSK02 20222
year
type
M2 - Bachelor Degree
subject
keywords
Quantum computing, Qubit, Double quantum dot (DQD), Microwave resonator, Quantum integrated circuits, Sweet spots, Hybrid quantum circuits.
language
English
id
9109489
date added to LUP
2023-01-31 12:02:12
date last changed
2023-01-31 12:02:12
@misc{9109489,
  abstract     = {{In this study, we derive a mathematical description of a double quantum dot (DQD) embedded in a microwave resonator starting from classical electrostatics. DQDs are a promising platform for building quantum computers and have important applications in quantum sensing and the study of light-matter interactions. Recently, a higher-order sweet spot was discovered, where the DQD is theorized to have improved coherence time. We investigate the coupling strength between the microwave photons and the DQD operating at the higher-order sweet spot, and determine the Rabi frequencies for the case of a strongly driven oscillator in resonance with the DQD energy splitting. This work provides a useful foundation for further research on DQDs and their potential applications in quantum computing and other fields.}},
  author       = {{Abrash, Mohamed}},
  language     = {{eng}},
  note         = {{Student Paper}},
  title        = {{THE COUPLING OF A DOUBLE QUANTUM DOT TO MICROWAVE PHOTONS}},
  year         = {{2023}},
}