Annealing Algorithm Initial State via Eigenvector Calculation
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Solution Overview
Problem
Existing annealing algorithms for solving Ising model problems often start with randomly set initial states, leading to reduced accuracy in finding the ground state, as these initial states may be far from the optimal solution.
Innovation Solution
An information processing apparatus and method that calculates at least one eigenvector of a coupling coefficient matrix to determine an initial state for the annealing algorithm, improving the accuracy of solving Ising model problems by setting a more optimal initial state based on the eigenvector.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If the initial state is set randomly using random numbers, then the simplicity of the method is maintained, but the accuracy of solving the problem deteriorates because the initial state may be far from the ground state
Solution Approach 1:
The patent applies preliminary action by calculating the eigenvector of the coupling coefficient matrix before executing the annealing algorithm. This preprocessing step determines an optimal initial state based on the problem's coupling coefficients, ensuring the annealing process starts from a more favorable state that is closer to the ground state, thereby improving solution accuracy without adding significant operational complexity during the annealing process itself
2Productivity
If the initial state is set far from the ground state, then the annealing algorithm can explore more states, but the time required to converge to the ground state increases
Solution Approach 1:
By performing eigenvector calculation as a preliminary step, the system determines an initial state that is strategically positioned closer to the ground state. This reduces the number of annealing iterations required to converge, thereby improving productivity while minimizing time loss compared to random initialization that requires extensive exploration
3Reliability
If a simple random initial state is used, then the ease of operation is maintained, but the reliability of obtaining an accurate solution decreases
Solution Approach 1:
The eigenvector calculation is performed automatically as a preliminary computational step before the annealing process. This maintains ease of operation from the user perspective while significantly improving reliability by ensuring the initial state is optimally determined based on the problem's coupling coefficient matrix, leading to more reliable convergence to accurate solutions
Data Source
AI summary
The present disclosure provides an information processing apparatus capable of improving the accuracy of solving a problem when an annealing algorithm is executed. An information processing apparatus 1 includes a calculation unit 2 and an arithmetic unit 4. The calculation unit 2 calculates at least one eigenvector of a coupling coefficient matrix including a coupling coefficient indicating a strength of interaction between each of a plurality of binary variables that indicate states of a plurality of respective spins in an Ising model, the coupling coefficient matrix being given in advance in accordance with a problem to be solved by an annealing algorithm. The arithmetic unit 4 executes the annealing algorithm from an initial state set based on the at least one eigenvector.