Quantum synchronization: insights and applications to quantum information processing
This thesis explores various aspects of quantum synchronization, presenting novel perspectives and methodologies for studying nonlinear systems. By exploring different nonlinear oscillators, we study the interplay of nonlinear phenomena, like amplitude death and quantum synchronization, with inf...
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Format: | Thesis-Doctor of Philosophy |
Language: | English |
Published: |
Nanyang Technological University
2024
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Online Access: | https://hdl.handle.net/10356/175840 |
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Institution: | Nanyang Technological University |
Language: | English |
Summary: | This thesis explores various aspects of quantum synchronization, presenting
novel perspectives and methodologies for studying nonlinear systems. By
exploring different nonlinear oscillators, we study the interplay of nonlinear
phenomena, like amplitude death and quantum synchronization,
with information theoretic measures like Fisher information and quantum
entanglement. We look at some some possible applications in superconducting
circuit quantum electrodynamics (cQED) platform. Building on a
robust theoretical framework encompassing appropriate quantum master
equations, quantum stochastic differential equations, and quantum trajectory
techniques, this research uncovers genuine quantum phenomena in
synchronization, particularly in highly nonlinear quantum oscillators. Innovative
entanglement generation techniques and new measures to capture
quantum synchronization are proposed and analyzed, shedding light on
their potential applications in the field of quantum information technologies.
Moreover, this thesis examines counter-intuitive behaviors in coupled
quantum oscillators, which are vital for understanding quantum nonlinear
dynamics. These findings substantially contribute to our knowledge and
utilization of quantum synchronization phenomena. It also paves the way
for practical applications in quantum technologies using superconducting
circuit QED. |
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