Quantum Search for Robot Joint Angles
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Current methods for controlling the posture of robot arms, such as calculating joint angles, do not always benefit from the use of quantum computers, as they may not significantly reduce computation time compared to classical computers, and require appropriate quantum algorithms.
Innovation Solution
A search device and method that utilizes a quantum computer with a specifying unit, setting unit, and calculation unit to apply Grover's algorithm for identifying and calculating joint angles of a robot arm, ensuring the posture satisfies a predetermined condition by using unitary transformations on qubits.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Speed
If a quantum computer is used to calculate joint angles of a robot arm, then computation speed may be improved, but the computation time is not always shorter than that of a classical computer and it is necessary to adopt an appropriate quantum algorithm
Solution Approach 1:
The patent transforms the continuous joint angle calculation problem into a discrete search problem by encoding angle parameters into quantum basis states. This parameter transformation enables the application of Grover's quantum search algorithm, which provides quadratic speedup for searching through the parameter space of joint angles that satisfy the end effector position constraints.
2Loss of time
If classical coordinate transformation methods are used, then the method is simple and well-established, but the computation time cannot be dramatically reduced for robot posture control problems
Solution Approach 1:
The patent replaces the classical computational mechanism with a quantum computational mechanism. Specifically, it substitutes traditional coordinate transformation algorithms with a quantum algorithm that uses unitary transformations on qubits to search for joint angle solutions, leveraging quantum parallelism and interference to achieve faster computation for the inverse kinematics problem.
Solution Approach 2:
The patent introduces quantum dimensionality by representing joint angle parameters in a quantum state space. By encoding classical continuous parameters into quantum basis states and utilizing quantum superposition, the system searches through multiple possible joint angle configurations simultaneously, adding a quantum dimensional layer to the traditional inverse kinematics calculation.
Data Source
AI summary
A search device, a search method, and a search program for causing a quantum computer to search for angles of joints of a robot such as a robot arm at which the posture of the robot satisfies a predetermined condition by using a quantum algorithm are provided. The search device includes a specifying unit that specifies a function for identifying whether or not a posture of a robot satisfies a predetermined condition, a setting unit that applies a unitary transformation formed based on the function to a plurality of qubits corresponding to an angle of a joint of the robot a number of times according to the number of the plurality of qubits and sets a quantum computer so as to search for a state of the plurality of qubits corresponding to the angle satisfying the predetermined condition according to a quantum algorithm, and a calculation unit that calculates the angle corresponding to a measurement value of the plurality of qubits.