Quantum Circuit Using Partial Diffusion to Cut Oracle Calls
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Existing quantum computing algorithms, such as Grover's algorithm, face inefficiencies in unstructured database searches due to the need for a large number of oracle calls, which can be costly in terms of computational resources and time.
Innovation Solution
A quantum circuit design that employs multiple diffusion operators acting on subsets of qubits, optimizing their sequence to reduce the number of oracle calls required for a solution, allowing for conditional execution based on partial measurements, thereby enhancing the probability of success and reducing computational complexity.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If traditional Grover's algorithm is used for unstructured database search, then the algorithm can find solutions with high probability, but it requires a large number of oracle calls which increases computational complexity and time
Solution Approach 1:
The quantum circuit is divided into multiple independent diffusion operators that act on different subsets of qubits. Each diffusion operator can be applied separately and independently, allowing the search process to be segmented into parallel operations rather than a single sequential Grover diffusion operator, thereby reducing the total number of oracle calls required.
Solution Approach 2:
The patent introduces a new dimension to the search space by applying diffusion operators to different subsets of qubits simultaneously. Instead of operating in a single-dimensional search space with one Grover operator, the system operates in a multi-dimensional space where multiple diffusion operators work on different qubit subsets, effectively reducing the computational path to the solution.
2Productivity
If multiple diffusion operators are applied to reduce oracle calls, then computational efficiency improves, but the quantum circuit complexity increases
Solution Approach 1:
The complex task of database search is segmented into multiple smaller diffusion operators, each acting on a subset of qubits. This segmentation reduces the complexity of each individual operator while maintaining the overall effectiveness of the search, as the operators can be designed to be simpler than a single full-system Grover operator.
Solution Approach 2:
Instead of applying one comprehensive diffusion operator that acts on all qubits, the patent applies multiple partial diffusion operators that each act on specific subsets of qubits. This partial action approach reduces the complexity of each operator while the collective effect of multiple operators achieves the desired search amplification.
3Loss of energy
If the number of oracle calls is reduced, then computational resources are saved, but the success probability may decrease
Solution Approach 1:
The patent compensates for reduced oracle calls by introducing a new dimensional approach where multiple diffusion operators act on different qubit subsets simultaneously. This dimensional expansion creates additional pathways for amplitude amplification, maintaining success probability even with fewer oracle iterations.
Solution Approach 2:
Multiple diffusion operators acting on different qubit subsets are merged to create a collective amplification effect. The combined action of these operators achieves the same or better success probability as a single Grover operator would require more oracle calls, effectively merging multiple partial actions into a unified successful search.
Data Source
AI summary
A method is presented for use with a quantum circuit and a quantum register having a plurality of qubits. The method includes: sequentially calling, via a plurality of oracle gates of the quantum circuit, a quantum oracle operator on a plurality of qubit states to produce a sequence of quantum oracle calls; applying, via a plurality of diffusion gates of the quantum circuit, a plurality of diffusion operators, wherein a selected one or more of a plurality of diffusion operators is applied after each of the quantum oracle calls in the sequence of oracle calls; and generating a quantum computing result based on a measurement from the plurality of qubits, after having applied the sequence of oracle calls and the plurality of diffusion operators.