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Related Experiment Video

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Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Exploring constrained quantum control landscapes.

Katharine W Moore¹, Herschel Rabitz

¹Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA.

The Journal of Chemical Physics

|October 9, 2012

Summary

This summary is machine-generated.

Optimally controlling quantum systems is challenged by resource constraints. This study reveals how control landscape topology is affected by constraints, impacting population transfer efficiency and revealing necessary controls for high yield.

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Area of Science:

Quantum Control
Quantum Information Science
Computational Physics

Background:

Optimal control of quantum systems typically relies on favorable control landscape topology.
This topology, however, can be disrupted by constraints on control resources.

Purpose of the Study:

To explore the impact of control resource constraints on quantum control landscape topology.
To investigate pure-state population transfer using constrained control fields.

Main Methods:

Simulations were used to analyze the control landscape for a constrained class of control fields.
Fields were parameterized by spectral frequencies and phases, with phases acting as controls.
Analysis involved examining the first- and second-order variations of yield with respect to controls.

Main Results:

The number of phase controls needed for high population transfer yield depends on the quantum system's energy levels.
Insufficient controls or weak fluence lead to suboptimal trapping extrema and saddle points.
Sufficiently flexible controls yield connected optimal solutions, which shrink and become trapping extrema with reduced fluence.

Conclusions:

Constraints significantly alter quantum control landscape topology, affecting optimization outcomes.
Understanding these topological changes is crucial for designing effective quantum control strategies under resource limitations.
The observed behaviors illustrate the general impact of constraints on optimal control in quantum systems.