Quantum Control through a Self-Fulfilling Prophecy
arXiv:1705.10356 · doi:10.1103/PhysRevA.97.060102
Abstract
Measurement combined with feedback that aims to restore a presumed pre-measurement quantum state will yield this state after a few measurement-feedback cycles even if the actual state of the system initially had no resemblance to the presumed state. Here we introduce this mechanism of {\it self-fulfilling prophecy} and show that it can be used to prepare finite-dimensional quantum systems in target states or target dynamics. Using two-level systems as an example we demonstrate that self-fulfilling prophecy protects the system against noise and tolerates imprecision of feedback up to the level of the measurement strength. By means of unsharp measurements the system can be driven deterministically into arbitrary, smooth quantum trajectories.
arXiv comment5 pages, 6 figures
References in corpus (15)
- Advances in Quantum Metrology
- Real-time quantum feedback prepares and stabilizes photon number states
- Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
- Event-Ready Bell Test Using Entangled Atoms Simultaneously Closing Detection and Locality Loopholes
- Continuous quantum measurement and Itô formalism
- Decoherence suppression by uncollapsing
- Selective quantum evolution of a qubit state due to continuous measurement
- Experimental demonstration of decoherence suppression via quantum measurement reversal
- State determination in continuous measurement
- A sequence of unsharp measurements enabling a real time visualization of a quantum oscillation
- Evolution of a qubit under the influence of a succession of unsharp measurements
- Fidelity is a sub-martingale for discrete-time quantum filters
- Maintaining Quantum Coherence in the Presence of Noise through State Monitoring
- Coupled Ito equations of continuous quantum state measurement, and estimation
- Model for monitoring of a charge qubit using a radio-frequency quantum point contact including experimental imperfections