Estimated scale of Born rule violation in superconducting qubit measurement

Abstract

I estimate the size of expected Born rule violation for a two-level superconducting qubit with dispersive readout. The estimate is based on extrapolating from an earlier analysis of experimental data on cloud chamber detection. That analysis made no explicit use of quantum measurement axioms and found indication that the Born rule breaks down when it would otherwise naively predict extremely small measurement probabilities. In such cases, the Born rule significantly over-predicts the number of measurement events. The level of breakdown that I estimate here for the two-level qubit may be too small to have a meaningful impact on practical quantum computing.

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