Quantum Annealing Pump Control for Multi-Oscillator Stability
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Solution Overview
Problem
Existing quantum annealing systems with Kerr nonlinear parametric oscillators face challenges in obtaining solutions when three or more oscillators are interacting, as they struggle to effectively manage the increased complexity and interaction strength.
Innovation Solution
A control device is developed to manage a quantum annealing system with Kerr nonlinear parametric oscillators by setting constants such as interaction number, interaction strength, Kerr coefficient, and pump intensity to specific values, allowing the system to perform quantum annealing even with multiple interacting oscillators.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If three or more Kerr nonlinear parametric oscillators are interacting, then the system can solve more complex optimization problems, but the system struggles to effectively manage the increased complexity and interaction strength
Solution Approach 1:
The patent applies parameter changes by systematically adjusting the pump intensity parameter as a function of the interaction number constant. By setting the pump intensity to satisfy the relationship ξp ≥ (p-4)/(p-2) * (2pJ/K) where p is the interaction number, J is interaction strength, and K is Kerr coefficient, the system can effectively manage complex interactions between multiple oscillators while maintaining stability and achieving solutions to optimization problems.
2Quantity of substance
If the pump intensity is increased to manage stronger interactions, then the system can handle more oscillators, but the system may struggle with phase transitions and stability
Solution Approach 1:
The patent applies preliminary action by pre-setting the pump intensity to satisfy the derived relationship ξp ≥ (p-4)/(p-2) * (2pJ/K) before initiating the quantum annealing process. This preliminary configuration ensures that the system is properly prepared to handle the intended number of interacting oscillators, preventing instability and phase transition issues during operation.
Solution Approach 2:
The patent employs feedback mechanisms through the control device that monitors the interaction number constant, interaction strength constant, and Kerr coefficient, and automatically adjusts the pump intensity parameter to satisfy the required relationship. This closed-loop control ensures the system maintains stability even as the number of oscillators varies.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
The control device enables the quantum annealing system to transition from a vacuum state to a coherent state, effectively solving optimization problems even with multiple interacting Kerr nonlinear parametric oscillators, thereby improving the system's ability to handle complex interactions.
Implementation Method 1
Kerr nonlinear parametric oscillators, which is set to three or a greater number... a Kerr coefficient, which is a constant indicating the Kerr nonlinearity of the Kerr nonlinear parametric oscillators
Data Source
AI summary
A control device sets the value of a pump constant, which is a constant related to the initial value of a pump intensity of a quantum annealing device using Kerr nonlinear parametric oscillators, to a value determined based on the maximum number of interacting Kerr nonlinear parametric oscillators, an interaction intensity constant, which is a constant indicating the strength of the interaction of the Kerr nonlinear parametric oscillators, and a Kerr coefficient, which is a constant indicating the Kerr nonlinearity, or to a greater value; and controls the quantum annealing device based on the setting to cause quantum annealing to be performed.