Related Experiment Video
Updated: Nov 21, 2025
08:35
Interactive and Visualized Online Experimentation System for Engineering Education and Research
Published on: November 24, 2021
2.8K
Connection between Inverse Engineering and Optimal Control in Shortcuts to Adiabaticity
Qi Zhang1,2, Xi Chen1,3, David Guéry-Odelin2
1International Center of Quantum Artificial Intelligence for Science and Technology (QuArtist) and Department of Physics, Shanghai University, Shanghai 200444, China.
Entropy (Basel, Switzerland)
|January 13, 2021
Summary
We demonstrate fast, high-fidelity quantum control using shortcut to adiabaticity (STA) and optimal control theory (OCT). STA protocols precisely achieve optimal solutions with fewer parameters, guiding quantum system manipulation.
Area of Science:
- Quantum physics
- Quantum control engineering
Background:
- Achieving fast and high-fidelity quantum control is crucial for quantum technologies.
- Traditional methods often face limitations in speed and precision.
Purpose of the Study:
- To explore the application of shortcut to adiabaticity (STA) techniques combined with optimal control theory (OCT) for fast quantum control.
- To demonstrate the effectiveness of STA protocols in achieving high-fidelity quantum operations.
Main Methods:
- Utilizing shortcut to adiabaticity (STA) based on inverse engineering.
- Employing optimal control theory (OCT) as a qualitative guide.
- Applying these methods to specific quantum systems like cold atoms and spin dynamics.
Main Results:
- STA protocols, guided by OCT, achieve high precision approaching optimal solutions.
- Demonstrated success in controlling cold atom expansion and transport.
- Effective spin dynamics control even with dissipation present.
Conclusions:
- STA offers a powerful approach for fast, high-fidelity quantum control.
- Inverse-engineered STA protocols provide near-optimal solutions with reduced parameters.
- This method is versatile and applicable to various quantum systems.
Related Concept Videos
01:10Control Systems
1.6K
Control systems are everywhere in contemporary society, influencing diverse applications from aerospace to automated manufacturing. These systems can be found naturally within biological processes, such as blood sugar regulation and heart rate adjustment in response to stress, as well as in man-made systems like elevators and automated vehicles. A control system is essentially a network of subsystems and processes that collaboratively convert specific inputs into desired outputs.
At the heart...
At the heart...
1.6K
01:14Conservation of Energy in Control Volume
989
Consider a turbine operating under steady-flow conditions. The control volume is drawn around the turbine, with fluid entering at one point and exiting at another. The turbine extracts energy from the fluid, which performs mechanical work (shaft work).
For steady flow systems, the time derivative of the stored energy becomes zero since there is no energy accumulation within the control volume. This simplifies the energy equation to:
For steady flow systems, the time derivative of the stored energy becomes zero since there is no energy accumulation within the control volume. This simplifies the energy equation to:
989
01:25Control Systems: Applications
943
Electrical engineering plays a pivotal role in our daily lives, with control systems at the heart of many applications, from home appliances to sophisticated space shuttles. Control systems manage and regulate the behavior of devices and processes, ensuring they function safely, correctly, and efficiently.
In modern vehicles, control systems manage various functions to enhance performance and safety. The steering wheel and accelerator are primary inputs in a car's control system. The...
In modern vehicles, control systems manage various functions to enhance performance and safety. The steering wheel and accelerator are primary inputs in a car's control system. The...
943
01:20Work Done in an Adiabatic Process
3.8K
Consider the adiabatic compression of an ideal gas in the cylinder of an automobile diesel engine. The gasoline vapor is injected into the cylinder of an automobile engine when the piston is in its expanded position. The temperature, pressure, and volume of the resulting gas-air mixture are 20 °C, 1.00 x 105 N/m2, and 240 cm3 , respectively. The mixture is then compressed adiabatically to a volume of 40 cm3. Note that, in the actual operation of an automobile engine, the compression is not...
3.8K
01:18Adiabatic Processes for an Ideal Gas
3.6K
When an ideal gas is compressed adiabatically, that is, without adding heat, work is done on it, and its temperature increases. In an adiabatic expansion, the gas does work, and its temperature drops. Adiabatic compressions actually occur in the cylinders of a car, where the compressions of the gas-air mixture take place so quickly that there is no time for the mixture to exchange heat with its environment. Nevertheless, because work is done on the mixture during the compression, its...
3.6K
01:17Open and closed-loop control systems
1.3K
Control systems are foundational elements in automation and engineering. They are broadly categorized into open-loop and closed-loop systems. These classifications hinge on the presence or absence of feedback mechanisms, significantly influencing the system's performance, complexity, and application.
An open-loop control system operates without feedback from the output. It consists of two primary elements: the controller and the controlled process. The controller receives an input signal...
An open-loop control system operates without feedback from the output. It consists of two primary elements: the controller and the controlled process. The controller receives an input signal...
1.3K