Quantum Feedback Control and Quantum Measurements

Abstract

Particularly in the domains of control and measurement, quantum systems display peculiar behaviors dictated by rules different from classical physics. Quantum measurement and feedback control are the main topics of this study, which delves into both the theory and practice of these areas. The intrinsic probabilistic character of quantum states causes measurement in quantum mechanics to disturb the state of a system. Opportunities and challenges for understanding and managing quantum states arise from this disruption, which is typically characterized by the collapse of the wave function. How measurements impact quantum states and what function measuring devices play in this process is the subject of quantum measurement theory. One technique to use measurement's disruptive effects for coherent quantum activities is through feedback control mechanisms. Stabilization, state preparation, and improved coherence times are made possible via feedback control, which constantly monitors and adjusts quantum systems according to measurement results. Quantum state tomography, quantum error correction, and real-time manipulation of qubits are a few examples.