Correlations of the time dependent signal and the state of a continuously monitored quantum system

Abstract

In quantum physics, measurements give random results and yield a corresponding random back action on the state of the system subject to measurement. If a quantum system is probed continuously over time, its state evolves along a stochastic quantum trajectory. To investigate the characteristic properties of such dynamics, we perform weak continuous measurements on a superconducting qubit that is driven to undergo Rabi oscillations. From the data we observe a number of striking temporal correlations within the time dependent signals and the quantum trajectories of the qubit, and we discuss their explanation in terms of quantum measurement and photodetection theory.

8 pages 5 figures

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• Quantum caustics in resonance fluorescence trajectories
• Homodyne monitoring of post-selected decay
• Cramér-Rao bound for time-continuous measurements in linear Gaussian quantum systems
• Unifying theory of quantum state estimation using past and future information
• The arrow of time in open quantum systems and dynamical breaking of the resonance-antiresonance symmetry
• Driving quantum systems with repeated conditional measurements
• Probing quantumness with joint continuous measurements of non-commuting qubit observables
• Catching and reversing quantum jumps and thermodynamics of quantum trajectories
• Quantum smoothing for classical mixtures
• Macroscopic Length Correlations in Non-Equilibrium Systems and Their Possible Realizatons
• Past observable dynamics of a continuously monitored qubit
• Smoothed quantum-classical states in time-irreversible hybrid dynamics
• Time-Reversal Symmetry and Arrow of Time in Quantum Mechanics of Open Systems
• Correlators exceeding one in continuous measurements of superconducting qubits
• Quantum process inference for a single qubit Maxwell's demon
• Quantum retrodiction in Gaussian systems and applications in optomechanics
• Correlation functions for realistic continuous quantum measurement
• Entropic relations for retrodicted quantum measurements
• Recognizing critical lines via entanglement in non-Hermitian systems
• Counting statistics of photon emissions detected in non-Markovian environment
• Continuous monitoring measured signals bounded by past and future conditions in enlarged quantum systems
• Geometric phase from encircling an exceptional point of a quantum resonance in the complex-scaling method