Energy control in a quantum oscillator using coherent control and engineered environment
arXiv:2403.17178 · doi:10.1016/j.chaos.2022.112687
Abstract
We develop and analyze a new method for manipulation of energy in a quantum harmonic oscillator using coherent, e.g., electromagnetic, field and incoherent control. Coherent control is typically implemented by shaped laser pulse or tailored electromagnetic field. Incoherent control is implemented by engineered environment, whose mean number of excitations at the frequency of the oscillator is used as a control variable. An approach to coherent and incoherent controls design based on the speed gradient algorithms in general, finite and differential forms is proposed. It is proved that the differential form is able to completely manipulate the energy of the oscillator: an arbitrary energy can be achieved starting from any initial state of the oscillator. The key instrument which allows for complete energy manipulation in this case is the use of the engineered environment. A robustified speed-gradient control algorithm in differential form is also proposed. It is shown that the proposed robustified control algorithm ensures exponential stability of the closed loop system which is preserved for sampled-data control.
21 pages, 5 igures
References in corpus (10)
- Quantum harmonic oscillator state synthesis by reservoir engineering
- Quantum control by von Neumann measurements
- Teaching the Environment to Control Quantum Systems
- Engineering arbitrary pure and mixed quantum states
- Measurement-assisted Landau-Zener transitions
- Incoherent Control of Locally Controllable Quantum Systems
- Control of quantum dynamics by optimized measurements
- Arbitrary quantum-state preparation of a harmonic oscillator via optimal control
- Optimal control for state preparation in two-qubit open quantum systems driven by coherent and incoherent controls via GRAPE approach
- On the control by electromagnetic fields of quantum systems with infinite dimensional Hilbert space
Cited by in corpus (3)
- GRAPE optimization for open quantum systems with time-dependent decoherence rates driven by coherent and incoherent controls
- Quantum Gate Generation in Two-Level Open Quantum Systems by Coherent and Incoherent Photons Found with Gradient Search
- Quantum control landscape for generation of and gates in an open qubit with both coherent and environmental drive