Quantum Resonance Frequency Determination Using Segmented Bins
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Solution Overview
Problem
Determining the resonance frequency of a quantum system in a wide frequency range is time-consuming due to the need for extensive linear frequency sweeps, which wastes time on non-relevant measurement points and is challenging in varying environmental conditions.
Innovation Solution
Subdividing the frequency range into non-overlapping bins and using signal processing to expand measurement frequencies into frequency groups, allowing simultaneous excitation and measurement across multiple frequencies, with threshold-based signal comparison to quickly identify resonant frequencies.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If linear frequency sweeps are used to search a wide frequency range, then the resonance frequency can be determined, but the measurement time increases sharply
Solution Approach 1:
The frequency range is divided into multiple non-overlapping frequency bins, allowing parallel measurement across different frequency segments. This segmentation enables simultaneous excitation and measurement at multiple frequencies, reducing the total measurement time while maintaining comprehensive frequency range coverage.
Solution Approach 2:
The method enables continuous frequency scanning by overlapping frequency bins in iterative measurements. After an initial coarse scan, subsequent measurements use overlapping bins to refine the search without gaps, ensuring continuous coverage and eliminating dead time between measurements.
2Adaptability or versatility
If the frequency range is widened to cover unknown resonance conditions, then the search capability is improved, but the measurement time per frequency point increases
Solution Approach 1:
The wide frequency range is segmented into multiple manageable frequency bins that can be measured in parallel. This allows the system to cover a broad frequency spectrum without increasing the measurement time at each individual frequency point, as multiple bins are processed simultaneously.
Solution Approach 2:
The method initially uses non-overlapping bins for rapid coarse scanning, then applies overlapping bins for refined measurement only in regions of interest. This partial overlap strategy provides excessive coverage where needed while minimizing redundant measurements, balancing adaptability with time efficiency.
3Measurement precision
If measurement time per frequency point is increased to improve signal-to-noise ratio, then measurement precision is improved, but productivity decreases
Solution Approach 1:
By dividing the frequency range into parallel bins, the system distributes the total measurement time across multiple frequency segments. Each bin receives sufficient measurement time for adequate signal-to-noise ratio, while the overall determination process remains fast due to parallel processing of multiple bins simultaneously.
Data Source
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AI summary
The invention relates to a method for determining a resonance frequency (4) of a quantum system (6) in a frequency range (8), wherein in a first method step (34) the frequency range (8) is divided into a number of frequency bins (36, 36a... 36h), wherein in a second method step (42) for each frequency bin (36, 36a...36h): a measurement frequency (14) is generated, the measurement frequency (14) is expanded by signal processing to a frequency group (18) covering the frequency bin (36, 36a...36h), the quantum system (6) of the frequency group (18) is manipulated, and a resulting measurement signal (26) is acquired, and the measurement signal (26) is compared with a stored threshold value, wherein in a third method step (52) a resonance frequency (4) is determined on the basis of those measurement signals (26) which have reached or exceeded the threshold value.