Quantum Circuit SWAP-Gate Selection for Faster Execution
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Solution Overview
Problem
Existing quantum circuit simulators face increased processing times due to the difficulty in determining how to insert gates that exchange different qubits, leading to inefficient execution of quantum circuits expressed as decision diagrams.
Innovation Solution
An information processing program that selects and applies methods to insert SWAP gates strategically, reducing the processing time by optimizing the arrangement of local and global qubits within the quantum circuit.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of time
If a gate for exchanging different qubits is inserted into the quantum circuit, then the processing time required when the quantum circuit is executed is reduced, but the complexity of determining how to insert the gate increases
Solution Approach 1:
The patent applies preliminary action by evaluating multiple gate insertion methods on a smaller-scale quantum circuit (second problem) before applying the selected method to the larger-scale original quantum circuit (first problem). This preliminary evaluation on a reduced scale allows the system to determine the optimal insertion strategy without the full computational burden of the complete circuit, thereby reducing overall processing time while managing complexity.
Solution Approach 2:
The patent uses copying by creating a smaller-scale version of the quantum circuit (second quantum circuit) that mirrors the structure of the original circuit but operates on fewer qubits. This copied circuit serves as a testbed for evaluating different gate insertion methods. The insights gained from this copy are then applied to optimize the original circuit, reducing the complexity of determining gate insertion positions in the full system.
2Productivity
If multiple methods for exchanging qubits are evaluated, then the optimal method for reducing processing time is identified, but the computational resources required for evaluation increase
Solution Approach 1:
The patent applies partial action by evaluating gate insertion methods on only a portion of the total computational workload—specifically, on a smaller-scale quantum circuit that represents a fraction of the original problem size. This partial evaluation is sufficient to identify trends and select an optimal method without requiring exhaustive testing on the full-scale circuit, thereby reducing computational resource consumption while still improving execution efficiency.
Solution Approach 2:
The patent changes parameters by scaling down the quantum circuit size (number of qubits) for the evaluation phase while maintaining the same algorithmic structure. This parameter change allows multiple insertion methods to be compared with reduced computational cost. The selected method is then applied to the full-scale circuit, achieving improved productivity without proportionally increasing the resources used for method evaluation.
3Device complexity
If the quantum circuit is optimized for smaller scale problems, then the method selection is more manageable, but the scalability to larger problems must be ensured
Solution Approach 1:
The patent performs preliminary optimization on smaller-scale quantum circuits to establish effective gate insertion methods before applying these methods to larger-scale problems. This preliminary work on reduced complexity systems makes method selection more manageable. The selected methods are then scaled up to larger problems, ensuring adaptability while maintaining the benefits of the optimized approach.
Solution Approach 2:
The patent achieves universality by developing gate insertion methods that are not specific to a particular circuit size but can be applied across different scales. The evaluation process on smaller circuits identifies universal principles of optimal gate placement that can be generalized and applied to larger problems, ensuring scalability while keeping method selection complexity manageable through the use of scalable evaluation criteria.
Data Source
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AI summary
A program for causing a computer to execute: acquiring, for each of methods, a result of executing a second quantum circuit obtained from a first quantum circuit by the method, the first quantum circuit solving a second problem smaller than a first problem of an original quantum circuit, each of the methods exchanging a local qubit and a global qubit in a quantum circuit by inserting a gate into the quantum circuit; selecting any of the methods using the result of executing the second quantum circuit; and acquiring a result of solving the first problem by executing a quantum circuit obtained from the original quantum circuit by the selected method, wherein the methods includes: a method of exchanging qubits so as to reduce a difference between before and after the inserting; and a method of exchanging qubits so as to reduce the number of times of the inserting.