Related Experiment Video
Updated: Sep 10, 2025

09:23
Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
14.6K
Entanglement Measure-Based Sliding Mode Control for Quantum State Preparation.
IEEE Transactions on Cybernetics
|August 25, 2025
Summary
This study introduces a novel quantum control framework for generating diverse entangled states without fixed targets. The method flexibly creates various bipartite and multipartite entangled states, including maximally entangled states (MESs).
Area of Science:
- Quantum Information Science
- Quantum Control Theory
Background:
- Quantum entanglement is crucial for quantum information processing (QIP).
- Current quantum control methods often require predefined target states, limiting flexibility for diverse entanglement structures.
Purpose of the Study:
- To develop a flexible quantum control framework for generating a wide range of entangled states.
- To enable the creation of entangled states without specifying a fixed target state.
Main Methods:
- Introduced a sliding mode control (SMC) framework utilizing an entanglement measure as the sliding surface.
- Adjusted the desired entanglement level to generate various states, including bipartite/multipartite and pure/mixed states.
- Established Lyapunov stability for the control scheme.
Main Results:
- Successfully generated a wide range of entangled states, including maximally entangled states (MESs).
- The control law is independent of the number of subsystems due to the scalar-valued entanglement measure.
- Numerical simulations confirmed the robust generation of MESs in bipartite and multipartite systems.
Conclusions:
- The proposed SMC framework offers a flexible and robust method for generating diverse entangled states in QIP.
- This approach overcomes limitations of fixed-target control methods, enhancing adaptability for complex quantum systems.
Related Concept Videos
Atomic Nuclei: Nuclear Spin State Overview
1.1K
NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
1.1K
State Space to Transfer Function
302
The conversion of state-space representation to a transfer function is a fundamental process in system analysis. It provides a method for transitioning from a time-domain description to a frequency-domain representation, which is crucial for simplifying the analysis and design of control systems.
The transformation process begins with the state-space representation, characterized by the state equation and the output equation. These equations are typically represented as:
The transformation process begins with the state-space representation, characterized by the state equation and the output equation. These equations are typically represented as:
302
Stability of Equilibrium Configuration
523
Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
523
State Space Representation
285
The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
Consider an RLC circuit, a...
285
Transfer Function to State Space
403
State-space representation is a powerful tool for simulating physical systems on digital computers, necessitating the conversion of the transfer function into state-space form. Consider an nth-order linear differential equation with constant coefficients, like those encountered in an RLC circuit. The state variables are selected as the output and its n−1 derivatives. Differentiating these variables and substituting them back into the original equation produces the state equations.
In an...
In an...
403
The Quantum-Mechanical Model of an Atom
44.3K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
44.3K

