Characterizing local noise in QAOA circuits
Jeffrey Marshall, Filip Wudarski, Stuart Hadfield, Tad Hogg
Abstract
Abstract Recently Xue et al (2019 arXiv: 1909.02196 ) demonstrated numerically that QAOA performance varies as a power law in the amount of noise under certain physical noise models. In this short note, we provide a deeper analysis of the origin of this behavior. In particular, we provide an approximate closed form equation for the fidelity and expected cost in terms of the noise rate, system size, and circuit depth. As an application, we show these equations accurately model the trade off between larger circuits which attain better expected cost values, at the expense of greater degradation due to noise.
Topics & Concepts
Noise (video)Electronic circuitFidelityPower (physics)Electronic engineeringComputer scienceNetwork analysisMathematicsControl theory (sociology)High fidelityNoise measurementMathematical modelEngineeringPower lawElectrical networkMathematical analysisEquivalent circuitApplied mathematicsWhite noiseAdvancements in Semiconductor Devices and Circuit DesignLow-power high-performance VLSI designSemiconductor materials and devices