Qubit feedback and control with kicked quantum nondemolition measurements: A quantum Bayesian analysis
arXiv:cond-mat/0606676 · doi:10.1103/PhysRevB.74.085307
Abstract
The informational approach to continuous quantum measurement is derived from POVM formalism for a mesoscopic scattering detector measuring a charge qubit. Quantum Bayesian equations for the qubit density matrix are derived, and cast into the form of a stochastic conformal map. Measurement statistics are derived for kicked quantum nondemolition measurements, combined with conditional unitary operations. These results are applied to derive a feedback protocol to produce an arbitrary pure state after a weak measurement, as well as to investigate how an initially mixed state becomes purified with and without feedback.
13 pages, 3 figures
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Cited by in corpus (11)
- A Straightforward Introduction to Continuous Quantum Measurement
- Weak values and the Leggett-Garg inequality in solid-state qubits
- Rapid Measurement of Quantum Systems using Feedback Control
- Resonant Scattering Can Enhance the Degree of Entanglement
- Weak measurement and control of entanglement generation
- Crossover of phase qubit dynamics in presence of negative-result weak measurement
- Quantum nondemolition-like, fast measurement scheme for a superconducting qubit
- Weak measurement and rapid state reduction in bipartite quantum systems
- Weak measurement of quantum dot spin qubits
- Rapid-purification protocols for optical homodyning
- Readout of solid-state charge qubits using a single-electron pump