Sideband Frequency Approximation Using Phase-Rotated Waveform Snippets
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Solution Overview
Problem
Existing waveform generation technologies for quantum computing are memory-intensive and computationally demanding due to the need to generate and store a series of identical waveforms for frequency sweeps, which requires significant time and resources.
Innovation Solution
The system divides the intended waveform into multiple waveform snippets, applies phase rotations using factors like 2π(ω+ε)t, and inserts phase slips to efficiently approximate the waveform, reducing the need for storing entire waveforms in memory.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If existing waveform generation technology generates a series of identical waveforms for frequency sweeps, then the waveform generation is accurate and complete, but the memory usage and computational time increase significantly
Solution Approach 1:
The patent divides the waveform generation process into segments by identifying repetitive patterns within the waveform. Instead of generating complete identical waveforms, the system segments the waveform into unique portions and repetitive portions, generating only the unique segment and then reusing it through phase rotations to reconstruct the full waveform sequence, thereby reducing computational time while maintaining accuracy.
Solution Approach 2:
The patent uses copying by storing a single instance of the unique waveform segment in memory and generating additional waveform instances through phase rotations and time-shifting. This copying approach allows the system to create multiple identical waveforms from a single stored segment, significantly reducing memory usage and computational overhead while preserving waveform accuracy.
2Measurement precision
If existing waveform generation technology generates a series of identical waveforms for frequency sweeps, then the waveform generation is accurate and complete, but the memory storage requirements increase significantly
Solution Approach 1:
The patent segments the waveform into unique and repetitive portions, storing only the unique segment in memory. The repetitive portions are generated on-demand through phase rotations, eliminating the need to store multiple complete waveform copies while maintaining the ability to generate accurate frequency sweep waveforms when needed.
Solution Approach 2:
The patent creates a universal waveform template that can serve multiple functions. A single stored waveform segment can be transformed through phase rotations and time-shifting to generate multiple different waveform instances for frequency sweeps, replacing the need to store multiple specialized waveform copies.
3Quantity of substance
If the system stores only a single waveform snippet in memory, then the memory workload is reduced, but the ability to generate frequency sweeps may be compromised
Solution Approach 1:
The patent changes the parameters of the stored waveform snippet through phase rotations and time-shifting operations. By modifying the phase and timing parameters of a single stored waveform, the system can generate multiple different waveform instances suitable for frequency sweeps, maintaining adaptability while minimizing memory storage requirements.
Solution Approach 2:
The patent introduces dynamic parameter adjustment to the waveform generation process. Instead of storing static complete waveforms, the system stores a single waveform snippet and dynamically adjusts its phase and timing parameters during runtime to generate the required frequency sweep waveforms, enabling versatility from a minimal storage base.
Data Source
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AI summary
Systems, computer-implemented methods, and computer program products to facilitate approximating a range of sideband frequencies efficiently are provided. According to an embodiment, a system can comprise a processor that executes computer executable components stored in memory. The computer executable components comprise a wave division component that generates a plurality of waveform snippets using a definition of an intended waveform, wherein the plurality of waveform snippets can be phase shifted. The computer executable components further comprise rotation component that assigns a phase rotation to be applied to at least one waveform snippet of the plurality of waveform snippets, wherein the phase rotation is out of phase with a previous waveform snippet of the plurality of waveform snippets.