Continuous weak measurement and feedback control of a solid-state charge qubit: physical unravelling of non-Lindblad master equation

Abstract

Conventional quantum trajectory theory developed in quantum optics is largely based on the physical unravelling of Lindbald-type master equation, which constitutes the theoretical basis of continuous quantum measurement and feedback control. In this work, in the context of continuous quantum measurement and feedback control of a solid-state charge qubit, we present a physical unravelling scheme of non-Lindblad type master equation. Self-consistency and numerical efficiency are well demonstrated. In particular, the control effect is manifested in the detector noise spectrum, and the effect of measurement voltage is discussed.

8 pages, 5 figures

References in corpus (11)

• Manipulation of a single charge in a double quantum dot
• All-optical versus electro-optical quantum-limited feedback
• Squeezing of a nanomechanical resonator by quantum nondemolition measurement and feedback
• Spontaneous Relaxation of a Charge Qubit under Electrical Measurement
• Quantum Nondemolition Measurement of a Kicked Qubit
• Quantum measurement of a solid-state qubit: A unified quantum master equation approach revisited
• Simple quantum feedback of a solid-state qubit
• Adaptive Phase Measurements in Linear Optical Quantum Computation
• Continuous quantum feedback of coherent oscillations in a solid-state qubit
• Quantum Nondemolition Squeezing of a Nanomechanical Resonator
• Quantum coherence control of solid-state charge qubit by means of a suboptimal feedback algorithm

Cited by in corpus (6)

• Terahertz Science and Technology of Carbon Nanomaterials
• Charge Qubit Purification by an Electronic Feedback Loop
• Real-time counting of single electron tunneling through a T-shaped double quantum dot system
• Weak Measurement of Qubit Oscillations with Strong Response Detectors: Violation of the Fundamental Bound Imposed on Linear Detectors
• Non-Markovian dynamics and noise characteristics in continuous measurement of a solid-state charge qubit
• Renormalized dynamics in charge qubit measurements by a single electron transistor