Calibrating Quantum Error Mitigation via Precomputed Lookup Tables
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Solution Overview
Problem
Current quantum error mitigation techniques, such as zero noise extrapolation, require multiple iterations to select appropriate settings like noise factors and extrapolation functions, significantly slowing down the workflow for noisy quantum computations.
Innovation Solution
A method to automatically calibrate quantum error mitigation techniques by saving calibrations for combinations of noise factors and extrapolation functions that achieve a zero-noise value, allowing for the selection of appropriate settings based on the target quantum circuit's depth, thereby eliminating the need for multiple iterations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If quantum error mitigation techniques are applied to reduce noise in quantum circuits, then measurement precision is improved, but productivity deteriorates due to multiple iterations required for setting calibration
Solution Approach 1:
The patent pre-calculates and stores optimal calibration settings (noise factors and extrapolation functions) for quantum error mitigation techniques before actual quantum circuit execution. This preliminary calibration phase creates a lookup table of proven settings that can be directly applied to new circuits, eliminating the need for iterative optimization during productive work and significantly accelerating workflow while maintaining accuracy.
2Measurement precision
If multiple iterations are performed to select appropriate settings for quantum error mitigation, then measurement precision is improved, but loss of time increases
Solution Approach 1:
Optimal calibration settings are pre-determined and stored in a database before actual use. When a quantum circuit requires error mitigation, the system retrieves pre-validated settings from storage rather than performing iterative optimization, thus achieving high precision zero-noise values without the time cost of multiple trial-and-error iterations.
Solution Approach 2:
The patent creates and stores copies of successful calibration configurations (combinations of noise factors and extrapolation functions) that have been proven to achieve accurate zero-noise values. These copied settings can be directly applied to similar quantum circuits, eliminating the need to re-discover optimal parameters through time-consuming iterations.
3Reliability
If quantum error mitigation techniques are implemented, then reliability is improved, but device complexity increases due to additional circuits and settings
Solution Approach 1:
The patent manages complexity by systematically varying and storing calibration parameters (noise factors and extrapolation function choices) that control the behavior of error mitigation circuits. By pre-determining optimal parameter combinations and storing them for retrieval, the system maintains high reliability through accurate error correction while avoiding the complexity of real-time parameter optimization and circuit redesign.
Data Source
AI summary
A method, system and computer program product for calibrating a quantum error mitigation technique with appropriate settings. Calibrations of the quantum error mitigation technique corresponding to combinations of noise factors and extrapolation functions that when applied to quantum circuits that represent the target quantum circuit achieve an expectation value that is close to a zero-noise value within a threshold degree of accuracy are saved. A calibration (combination of noise factors and an extrapolation function) is then selected from the saved calibrations based on the depth of the target quantum circuit. The quantum error mitigation technique is then calibrated based on the selected calibration. The calibrated quantum error mitigation technique is then performed on the target quantum circuit. In this manner, a quantum error mitigation technique is automatically calibrated with the appropriate settings to achieve a zero-noise value by the target quantum circuit without requiring multiple iterations.