Quantum Gate Error Reduction via Stochastic Transformation
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Solution Overview
Problem
Quantum computation systems introduce errors when executing quantum algorithms, particularly unitary errors which are detrimental to obtaining accurate results.
Innovation Solution
A method that randomly accesses pairs of quantum gates associated with a given quantum gate to generate modified quantum instructions, reducing unitary errors by transforming them into stochastic errors.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If quantum gates are executed directly without modification, then the quantum algorithm executes efficiently with fewer gates, but unitary errors accumulate and reduce result accuracy
Solution Approach 1:
The quantum gate execution is segmented into multiple components: the original quantum gate is divided into smaller sub-gates, and error reduction gates are inserted between these sub-gates. This segmentation allows error mitigation without requiring complete restructuring of the quantum algorithm, thereby improving result accuracy while controlling instruction complexity.
Solution Approach 2:
Error reduction gates serve as intermediary elements inserted between the original quantum gates. These intermediary gates transform coherent unitary errors into stochastic errors without significantly altering the overall quantum operation, thus improving reliability while maintaining reasonable system complexity.
2Reliability
If error reduction gates are added to quantum instructions, then unitary errors are reduced through transformation into stochastic errors, but the number of quantum gates increases
Solution Approach 1:
Error reduction gates are applied selectively to specific quantum gates based on their error characteristics. Rather than uniformly applying error reduction to all gates, the system identifies gates with higher error rates and applies error reduction techniques locally, thereby reducing overall error rates while minimizing the increase in total gate count.
Solution Approach 2:
The system dynamically adjusts parameters such as the probability of inserting error reduction gates and the selection of specific error reduction gate pairs based on measured error rates. This parameter optimization allows the system to achieve effective error reduction while balancing the overhead of additional gates against execution efficiency.
3Reliability
If randomly accessed error reduction gate pairs are used, then unitary errors are mitigated through diversification of error transformation, but the system complexity increases
Solution Approach 1:
The system dynamically selects error reduction gate pairs from a predefined set based on random access patterns. This dynamic selection diversifies the error transformation approaches applied across different quantum gates, improving error mitigation effectiveness while using a manageable finite set of gate pairs that does not require complete system redesign.
Data Source
AI summary
A system and method for randomly accessing pairs of quantum gates associated with any given quantum gate included in a set of quantum instructions allows for the reduction of unitary errors when executing the quantum instructions. The system generates a set of modified quantum instructions using the randomly accessed pair of quantum gates. The modified quantum instructions produce the same result as the unmodified quantum instructions when executed on a quantum processing system that does not introduce error when executing the instructions. Additionally, the modified quantum instructions produce a more accurate result with less error than the unmodified quantum instructions when executed on a quantum processing system that introduces error.