How many shots are approximately needed to get a decent signal to noise ratio for a high weight observable at a fixed measurement error rate?

How many shots are approximately needed to get a decent signal to noise ratio for a high weight observable at a fixed measurement error rate? Ask Question Asked 5 days ago Modified 5 days ago Viewed 31 times 1 Say that I want to estimate the expectation value of a weight- k 𝑘 Pauli- Z 𝑍 string, ⟨ Z 1 … Z k ⟩ ⟨ 𝑍 1 … 𝑍 𝑘 ⟩ with a quantum computer with some accuracy δ 𝛿 . If the measurement error rate is fixed at ϵ 𝜖 , and I want a signal-to-noise ratio of s 𝑠 , how many shots would I approximately need to achieve this, assuming my program ran perfectly? measurementnoisequantum-information Share Improve this question Follow edited May 11 at 17:49 Martin Vesely 15.6k4 4 gold badges 34 34 silver badges 77 77 bronze badges asked May 11 at 17:30 Tango 111 1 bronze badge New contributor Add a comment Know someone who can answer? Share a link to this question via email, Twitter, or Facebook. 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