Scalable Analog Zero Noise Extrapolation via Echo Extension
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Solution Overview
Problem
Existing noise mitigation frameworks for quantum circuits, such as analog zero noise extrapolation, face challenges with high calibration overhead and reduced coherence time due to the need for frequent recalibration of pulse parameters for varying iterations, leading to increased execution time and decreased accuracy.
Innovation Solution
A system and method that calibrate an echo extender tone parameter for echo pulse sequences using a scalable stretch factor, allowing for the generation of modified pulse sequences with reduced calibration overhead, enabling reliable amplification of cross-resonance noise across iterations without additional calibration, thus reducing overall quantum circuit calibration and execution time.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If pulse parameters are recalibrated for each iteration of zero noise extrapolation, then measurement precision is improved, but loss of time increases due to frequent recalibration
Solution Approach 1:
The patent performs preliminary calibration of the echo extender tone parameter once before all zero noise extrapolation iterations. This preliminary calibration establishes a baseline parameter that can be reused across multiple iterations with different stretch factors, eliminating the need for recalibration before each iteration and significantly reducing total calibration time.
Solution Approach 2:
The calibrated echo extender tone parameter is designed to be universally applicable across multiple iterations of the zero noise extrapolation protocol. A single calibration result serves multiple functions by working with various stretch factors (e.g., 1x, 2x, 3x, 4x) without requiring re-calibration, making the calibration process multi-functional and time-efficient.
2Productivity
If quantum circuit depth is increased to improve computational capability, then productivity is improved, but object-generated harmful factors increase due to accumulated system noise
Solution Approach 1:
The patent converts the harmful effect of system noise into a beneficial measurement signal. By intentionally stretching the quantum circuit execution time and using echo extender tones, the accumulated noise becomes amplifiable and measurable. This allows the noise to serve as a diagnostic tool rather than merely a detrimental factor, enabling zero noise extrapolation to estimate the noise-free result.
Solution Approach 2:
The patent employs periodic echo extender tones inserted at regular intervals within the stretched quantum circuit execution. These periodic tones systematically amplify the noise at different time points, creating a structured pattern that enables extrapolation algorithms to identify and correct for noise accumulation, thereby maintaining computational accuracy despite increased circuit depth.
3Reliability
If echo extender tones are inserted into pulse sequence to mitigate noise, then reliability is improved, but device complexity increases
Solution Approach 1:
The patent segments the quantum gate execution into distinct pulse components: the original quantum gate pulses and the inserted echo extender tones. This segmentation allows independent calibration and optimization of each component. The echo extender tones are treated as separate, modular elements that can be systematically inserted and calibrated without redesigning the entire pulse sequence, thereby managing complexity while maintaining reliability.
Data Source
AI summary
A quantum noise mitigation system can comprise a memory that stores, and a processor that executes, computer executable components comprising a pulse calibration component that, for controlling execution of a quantum gate of a quantum circuit, calibrates an echo extender tone parameter for a set of echo extender tones of an echo pulse sequence, wherein the pulse calibration component inserts the set of echo extender tones into the echo pulse sequence of an initial pulse sequence resulting in generation of a modified pulse sequence for use in controlling the execution of the quantum gate, and a parameterizing component that parameterizes the set of echo extender tones using a scalable stretch factor for stretching respective durations of the set of echo extender tones.