Prediction and retrodiction for a continuously monitored superconducting qubit

Abstract

The quantum state of a superconducting transmon qubit inside a three-dimensional cavity is monitored by reflection of a microwave field on the cavity. The information inferred from the measurement record is incorporated in a density matrix ${\rho }_t$, which is conditioned on probe results until $t$, and in an auxiliary matrix $E_t$, which is conditioned on probe results obtained after $t$. Here, we obtain these matrices from experimental data and we illustrate their application to predict and retrodict the outcome of weak and strong qubit measurements.

9 pages, 8 figures

References in corpus (6)

• Charge insensitive qubit design derived from the Cooper pair box
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• Observation of quantum jumps in a superconducting artificial atom
• Quantum back-action of variable-strength measurement
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Cited by in corpus (14)

• Microwave photonics with superconducting quantum circuits
• Weak Values are Interference Phenomena
• Prediction and retrodiction with continuously monitored Gaussian states
• Conditional past-future correlation induced by non-Markovian dephasing reservoirs
• Homodyne monitoring of post-selected decay
• Probing quantumness with joint continuous measurements of non-commuting qubit observables
• Quantum smoothing for classical mixtures
• Quantum teleportation with continuous measurements
• Past observable dynamics of a continuously monitored qubit
• Smoothed quantum-classical states in time-irreversible hybrid dynamics
• A smoothing theory for open quantum systems: The least mean square approach
• Probability distributions of continuous measurement results for conditioned quantum evolution
• Conditioned spin and charge dynamics of a single electron quantum dot
• Continuous monitoring measured signals bounded by past and future conditions in enlarged quantum systems