Quantum measurement of a solid-state qubit: A unified quantum master equation approach revisited

Abstract

Quantum measurement of a solid-state qubit by a mesoscopic detector is of fundamental interest in quantum physics and an essential issue in quantum computing. In this work, by employing a unified quantum master equation approach constructed in our recent publications, we study the measurement-induced relaxation and dephasing of the coupled-quantum-dot states measured by a quantum-point-contact. Our treatment pays particular attention on the detailed-balance relation, which is a consequence of properly accounting for the energy exchange between the qubit and detector during the measurement process. As a result, our theory is applicable to measurement at arbitrary voltage and temperature. Both numerical and analytical results for the qubit relaxation and dephasing are carried out, and new features are highlighted in concern with their possible relevance to future experiments.

9 pages, 5 figures

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• Calculation of the current noise spectrum in mesoscopic transport: an efficient quantum master equation approach
• Non-Markovian finite-temperature two-time correlation functions of system operators: beyond the quantum regression theorem
• Quantum Transport from the Perspective of Quantum Open Systems
• Non-Markovian dynamics of a nanomechanical resonator measured by a quantum point contact
• Quantum transport through a double Aharonov-Bohm-interferometer in the presence of Andreev reflection
• Continuous weak measurement and feedback control of a solid-state charge qubit: physical unravelling of non-Lindblad master equation
• Measurement of single electron spin with sub-micron Hall magnetometer
• Theory of a double-dot charge detector
• Decoherence induced by electron accumulation in quantum measurement of charge qubits
• Dissipative dynamics of coupled quantum dots under quantum measurement
• Non-Markovian dynamics and noise characteristics in continuous measurement of a solid-state charge qubit
• Memory effect preserved time-local approach to noise spectrum of transport current
• Quantum trajectory analysis for electrical detection of single-electron spin resonance
• Majorana qubit readout by a point-contact detector under finite bias voltages